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PATTERN RECOGNITION
OF
HUMAN GAIT SIGNATURES
Author: Elizabeth I. Maduko
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ABSTRACT
Pattern recognition is the classification of data into predetermined categories, usually
using statistical methods. Gait recognition is an area of application of pattern recognition
because it classifies and identifies an individual by their gait signatures. Gait recognition
offers the possibility of identifying individuals at a distance, or in video sequences
without any interaction or co-operation from the subject.
This project aims at developing a system capable of gait classification and recognition. A
gait signature has many features which make it an attractive proposition as a method of
identification. Such features include variation in angles of the parts of the body like the
hip, knee, ankle, etc, and variation of the amplitude of the gait pattern.
The experiment phase of the project was conducted on five subjects of three males and
two females, and features of their gait pattern extracted with the help of a video sequence.
The variation of the 2-dimensional angles of the hip, knee, torso and ankles were of
particular interest in this project. The angles obtained from the experiment known as the
crisp data were fuzzified using the Gaussian membership function and the resulting fuzzy
data stored in a knowledge base. Inferences on gait signature(s) under test were madeusing the fuzzy data stored in the knowledge base.
The gait recognition system was built using a high level language C++ as shown in
appendix iv and v, and the output of the system is the membership function of the gait
signature under test with that of each of the five subjects which must vary between 0 and
1. A membership function of 1 indicates total or complete membership with the gait
signature of the corresponding subject while a membership function less than 1 indicates
partial or incomplete membership with the gait signature of the corresponding subject.
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INTRODUCTION
Pattern recognition (also known as classification, pattern classification or statistical
classification) is a field within the area of machine learning, and can be defined as "theact of taking in raw data and taking an action based on the category of the data" [Fau94].
As such, it is a collection of methods for supervised learning. Pattern recognition aims to
classify data (patterns) based on either a priori knowledge or on statistical information
extracted from the patterns. The patterns to be classified are usually groups of
measurements or observations, defining points in an appropriate multidimensional space.
Each individual has a unique gait; hence, the variations in styles and positions of human
gait signatures make it possible for them to be classified and recognized as patterns using
Fuzzy Logic and Artificial Neural Networks (ANN). Fuzzy Logic refers to a logical
system that generalizes classical two-valued logic for reasoning under uncertainty
[Yen99], while an Artificial Neural Network is an information-processing system that has
certain performance characteristics in common with biological neural networks [Nav95].
This project aims at developing a program capable of semi-automatic gait recognition i.e.
developing a system capable of performing recognition of individuals derived from a
video sequence of their pattern of walking. The program should be able to store the
derived gait signature in a knowledge base for comparison at a later stage. The project
was conducted in three phases as described below and as shown in the block diagram.
1. Experiment: The acquisition of thegait pattern of the various subjects used in the
experiment, through a video sequence.
2. Feature Extraction: This phase of the project involves the extraction of the
features (crisp data) of the gait pattern or signature from the video sequence.
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3. Inference: This phase of the project makes the decision on the fuzzified data
acquired from the previous phase, based on a test sample.
The output from the inference phase is in from of a membership function with the
subjects of the experiment, where a membership function of 1 indicates full membership
with that subject and a membership function less than 1 indicates partial membership
with the subject.
The following sections describe the experimental procedure of the project in detail, and
discuss the fuzzification of the acquired crisp data, the fuzzy rules applied to the fuzzified
data, the deffuzification of the output, the final results obtained and recommendations for
future enhancements.
Experiment
Data Data Response
Knowledge
Base
InferenceFeature
Extraction
Figure 1: Block diagram showing the various phases of the project
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EXPERIMENTAL PROCEDURE
The experiment involves capturing subtle changes in an individuals walk, taking into
consideration the variation in angles of the various parts of the body or the amplitude of
the persons walking pattern. The experiment was conducted with five subjects (two
females and three males) in three different stages.
Stage 1: Video Sequence
Stage 2: Points Digitization
Stage 3: Points Processing
Video Sequence
Each subject had a total of five markers (objects capable of reflecting light over a
camera) attached to the following parts of their body:
1. The Shoulder
2. The Hip
3. The Knee
4. The Ankle
5. The Toe
The video of each subjects gait pattern was captured randomly using the installed
camera. For each captured gait pattern, a mark-in point and mark-out point was chosen
arbitrarily. The mark-in point represents the first point in the captured gait video where
all the markers were visible, while the mark out point represents the last point in the
video where the five markers were visible. These mark-in points and mark-out points
were arbitrary in the sense that different points were chosen for each subjects captured
gait video.
Points Digitization
After the mark-in and mark-out points were chosen for each captured gait video, the data
points were cropped between the start and finish markers. Whenever the markers
exceeded the softwares default minimum and maximum outline, the setup was changed
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to accommodate the excesses. The cropped data points were digitized automatically by
the software using the centriod of each marker. For points like those of the hips which
could not be digitized automatically by the software, as a result of the obstruction caused
by the arm during the gait, the cursor location was used to digitize the points instead. This
is known as guessing since the marker centriod was determined by the cursor location
input by the user.
Points Processing
The digitized points were processed by the process wizard in the software. The 2-
dimensional angles of rotation of the marked parts of the body were saved in a
predetermined format using a spline filter and a frequency of 60Hz. Reflex angles were
recorded for the hip, torso and ankle movement, while obtuse angles were recorded for
the knee movement as shown in the stick diagram below.
< 360
< 360
< 180< 360
Figure 2: Stick diagram of the gait pattern showing the recorded angles
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DATA ACQUISITION (CRISP)
The 2-dimensional angles of the hip, knee, torso and ankle movement obtained from the
above described experiment for each subject differed in size and number. For the first
subject (Subject 1), a total of 172 angles were obtained for the movement of each of the
four above named body part. For the second subject (Subject 2), a total of 128 angles
each were obtained. A total 170 angles each were obtained for the third subject (Subject
3), 152 angles each obtained for the fourth subject (Subject 4) and 138 angles each for the
last subject (Subject 5). The angles obtained for each subject in 3 places of decimal is
tabulated and attached in appendix i.
Because of the way the video of the gait patterns were captured and data acquired, the
gait patterns or signatures for the 5 subjects were not in sync as shown in figure 3.1(a)
through 3.1(d).
Hip Pattern
0
50
100
150
200
250
1 11 21 31 41 51 61 71 81 91 101 111121131141151161171
Angl
Subject 1
Subject 2
Subject 3
Subject 4
Subject 5
Figure 3.1(a): Out of Sync Hip Movement for the Subjects
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Knee Pattern
0
20
40
60
80
100
120140
160
180
200
1 11 21 31 41 51 61 71 81 91 101 111121131141151161171
Angl
Subject 1
Subject 2
Subject 3
Subject 4
Subject 5
Torso Pattern
240
245
250
255
260
265
270275
280
285
290
1 11 21 31 41 51 61 71 81 91 101 111121131141151161171
Angl
Subject 1Subject 2
Subject 3
Subject 4
Subject 5
Figure 3.1(c): Out of Sync Torso Movement for the Subjects
Figure 3.1(b): Out of Sync Knee Movement for the Subjects
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Ankle Pattern
0
50
100
150
200
250
300
350
1 11 21 31 41 51 61 71 81 91 101 111121131141151161171
Angl
Subject 1
Subject 2
Subject 3
Subject 4
Subject 5
As a result of this out of sync data, the acquired data for each subject was synchronized
and trimmed down to 106 for each pattern. These modified angles, which represent the
crisp data to be fuzzified and stored in the knowledge base, are tabulated and attached in
appendix ii. Figures 3.2(a) through 3.2(d) show the graphical representation of the angles
(in sync) for the Hip, Knee, Torso and Ankle movement respectively.
Hip Pattern
0
50
100
150
200
250
1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77 81 85 89 93 97 101 105
Angles
Subject 1
Subject 2
Subject 3
Subject 4
Subject 5
Figure 3.2 (a) Hip Movement for the Subjects in Sync
Figure 3.1(d): Out of Sync Ankle Movement for the Subjects
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Knee Pattern
0
20
40
60
80
100
120
140
160
180
200
1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77 81 85 89 93 97 101 105
Angle
Subject 1
Subject 2
Subject 3
Subject 4
Subject 5
Figure 3.2 (b) Knee Movement for the Subjects in Sync
Torso Pattern
240
245
250
255
260
265
270
275
280
285
290
1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77 81 85 89 93 97 101 105
Angle
Subject 1
Subject 2
Subject 3
Subject 4
Subject 5
Figure 3.2 (c) Torso Movement for the Subjects in Sync
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Ankle Pattern
0
50
100
150
200
250
300
1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77 81 85 89 93 97 101 105
Angle
Subject 1
Subject 2
Subject 3
Subject 4
Subject 5
Figure 3.2 (d) Ankle Movement for the Subjects in Sync
The next section describes the fuzzification of the modified angles, and the type of
membership function used for the fuzzification.
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FUZZIFICATION
The Gaussian membership function was used to fuzzify all the crisp data obtained as
described in the previous section.
The Gaussian Membership Function
The Gaussian Membership function was chosen because of its popularity and simplicity.
The formula is given below
A(x) = -exp (x m)2/22
Where x represents the crisp data (angles),
represents the membership function of x,
m represents the mean of all the crisp data x in the distribution and
represents the variance of all the crisp data in the distribution.
The variance can be represented mathematically as
= ((x m)2/n)
Where n is the number of angles in the distribution,
x represents the crisp data (angles) and
m represents the mean of all the crisp data x in the distribution.
Figure 4.1(a) and (b) displays the general structure of the membership functions
associated with all the inputs and output variables for the entire fuzzy inference system.
A four input variable and a one output variable membership function is shown. The input
variables include HIP, KNEE, TORSO and ANKLE, while the output variable is the
SUBJECT.
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The obtained Gaussian membership function (the result of the fuzzification) for the crisp
data was tabulated and attached in appendix iii. The data for each subject was stored in
the knowledge base and used for the inference when a gait pattern or signature is to be
tested, classified and recognized. The actual Gaussian membership function obtained for
the crisp data for all the four patterns associated with the five subjects are shown in figure
4.2(a) to 4.2(d) below.
Hip Knee Torso AnkleA(X)
1
X
Figure 4.1(a): Input Variables Membership Function
Subject 1 Subject 2 Subject 3 Subject 4 Subject 5
A(X)1
X
Figure 4.1(b): Output Variable Membership Function
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Memebership Function for Hip Pattern
0
0.2
0.4
0.6
0.8
1
1.2
1 8 15 22 29 36 43 50 57 64 71 78 85 92 99 106
Membershipfu
n Subject 1
Subject 2
Subject 3
Subject 4
Subject 5
Membership Function for Knee Pattern
0
0.2
0.4
0.6
0.8
1
1.2
1 8 15 22 29 36 43 50 57 64 71 78 85 92 99 106
MemebershipFun
Subject 1
Subject 2
Subject 3
Subject 4
Subject 5
Figure 4.2(a): Membership Function for the Hip Pattern of the Subjects
Figure 4.2(b): Membership Function for the Knee Pattern of the Subjects
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Membersip Function for Torso Pattern
0
0.2
0.4
0.6
0.8
1
1.2
1 8 15 22 29 36 43 50 57 64 71 78 85 92 99 106
MemebershipF
un
Subject 1
Subject 2
Subject 3
Subject 4
Subject 5
Membership Function for Ankle Pattern
0
0.2
0.4
0.6
0.8
1
1.2
1 8 15 22 29 36 43 50 57 64 71 78 85 92 99 106
MemebershipFun
Subject 1
Subject 2
Subject 3
Subject 4
Subject 5
Figure 4.2(d): Membership Function for the Ankle Pattern of the Subjects
Figure 4.2(d): Membership Function for the Ankle Pattern of the Subjects
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RULE-BASED SYSTEM (IF THEN)
Fuzzy if-then rules play a critical role in pattern recognition. They associate a condition
described using linguistic variables and fuzzy sets to a conclusion even when the
condition is only partially satisfied [Yen99].
The Mamdani fuzzy Model [Matlab] was used as the fuzzy if-then rules in this project,
the rules are in the form
Ri: IF x1 is A1 and and xj is Aj THEN y is Bi
Where thexs are the inputs,A1 andBi the fuzzy sets andy is the output. The and in the
rule denotes the min operator. For the gait signature recognition, the inputs used to
construct the fuzzy if-then rules are the hip membership function, knee membership
function, torso membership function and the ankle membership function of the gait
pattern to be detected, while the output is the subject. The min operator was used in
all the rules.
The gait pattern under test is also fuzzified as described in the previous section and
compared with that already stored in the knowledge base, and an inference is made basedon the constructed fuzzy if-then rules. The fuzzy if-then rules were constructed on two
levels as will be described below. As an example of the first level of the fuzzy if-then
rules, we have the following rules
R1: IF hip membership function is 0.977136 and knee membership function is
0.776425 and torso membership function is 0.829157 and ankle membership
function is 0.979104 THEN the gait signature is for subject 5.
R2: IF hip membership function is 0.990224 and knee membership function is
0.765611 and torso membership function is 0.90846 and ankle membership
function is 0.967203 THEN the gait signature is for subject 5.
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R3: IF hip membership function is 0.997347 and knee membership function is
0.758626 and torso membership function is 0.966265 and ankle membership
function is 0.953793 THEN the gait signature is for subject 5.
If the conditions for the first level of the fuzzy if-then rules as shown in the example
above are fully satisfied, a membership function of 1 is obtained for subject 5, but when
the conditions are partially or not satisfied, a membership function less than 1 is returned
for subject 5. For the second level of the fuzzy if-then rules, with the above rules already
applied for all the membership functions, the following if-then rule makes the final
decision on the gait pattern under test
IF membership function for subject 5 in R1 is 1 and membership function for subject 5 in
R2 is 1 and and membership function for subject 5 in R106is 1 THEN the gait signature
is for subject 5.
If the conditions for this second level of the fuzzy if-then rules as shown in the example
above are fully satisfied, then the obtained membership function is 1 which indicates full
membership with subject 5. If the conditions are partially or not satisfied, a membership
function less than 1 is returned for subject 5, and this indicates a resemblance with the
gait signature of the subject in question (subject 5 in this case) with a membership
function as obtained by the system.
Using the above examples as a yard stick, it means that in the first level, a total of 106
fuzzy if-then rules were constructed by the system for each subject, and 1 fuzzy if-then
rule constructed in the second level for each subject. This gives a total of 535 fuzzy if-
then rules used in the system for all the five subjects.
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RESULTS (SIMULATION)
The result of the system is the output or response of the inference made from the
comparison of the membership functions of the gait signature to be detected with the
membership functions of the five gait signatures already stored in the knowledge base as
described in the previous section.
The result of the program written for the system displays the resemblance of the gait
signature under test with those of the five subjects already stored in the knowledge base.
The membership functions associated with each resemblance is also displayed. A
membership function of 1 indicates a total or full resemblance of the gait signature under
test with that of the corresponding subject stored in the knowledge base. A membership
function less than 1 indicates partial resemblance of the gait signature under test with that
of the corresponding subject stored in the knowledge base.
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CONCLUSION
The ability to classify and recognize a gait signature from a distance or from a video
sequence makes it a very attractive area of human identification. This can be used in a
number of different scenarios. One example would be to analyze the video stream from
surveillance systems and identify a target individual based on his or her gait signature.
Such systems have a large amount of potential application domains, such as airports,
banks and general high security areas.
It can be concluded from the results of the designed system, that fuzzy reasoning
provides an efficient way of pattern classification and recognition of non-classical sets.
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RECOMMENDATIONS FOR FUTURE ENHANCEMENTS
I believe a lot of improvements can be made to this system in the future in order to
achieve greater pattern recognition results. Some of the improvements can be made in the
following areas:
Digitizing all the cropped data points of the markers automatically by the use of
software using the centriod of each marker instead of guessing some of the points
with the position of the mouse.
Gait signature of individuals is susceptible to factors like the height and size of
the individual, the mood of the individual, the clothes worn by the individual and
a lot of other factors. Taking these factors into consideration when the data is
extracted or when the inference is made can improve the effectiveness of gait
recognition.
Making provision for the subjects to walk in other directions apart from the usual
direction perpendicular to the camera can make a lot of positive difference
because in a real life situation, the gait signature under test probably have walkedin many directions other than that perpendicular to the camera.
Other parameters apart from the angle of the body parts such as angular velocity
can be taken into consideration to increase the variation of the data to be classified
and recognized.
Classifying the acquired data into different known categories or classes (such as
males and females) using classifiers such as the back propagation neural net
before the gait pattern recognition can begin can help to narrow down the number
of gait signature to compare the test gait signature against.
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Having different cameras in different positions take the video coverage of the gait
of the subjects would give the advantage of being able to recognize a particular
gait signature from numerous angles, rather than just from one angle or position.
Lastly, using a larger number of subjects for the experiment would make a good
improvement for this project because a recognized gait signature would be more
accurate when ascertained from a larger data set.
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REFERENCES CITED
[Daw04] Dawson M. R., Gait Recognition Final Thesis Report, Department of
Computing, Imperial College of Science, Technology & Medicine, London, 2002.
[Fau94] Fausset, Laurene, Fundamentals of Neural Networks: Architectures,
Algorithms, and Applications, Prentice Hall, pp1-96,289-324, 1994.
[Matlab] Matlab Fuzzy Logic Toolbox.
[Nav95]Nava A. P., New Paradigms for Fuzzy Neural Networks Ph.D. Dissertation,
New Mexico State University, Las Cruces, New Mexico, 1995.
[Yen99] Yen John, Langari Reza, Fuzzy Logic Intelligence, Control, and Information,
Center forFuzzy Logic, Robotics, and Intelligent Systems, Texas A&M University.
Pearson Education Pte. Ltd.,Delhi, India, 1999.
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APPENDIX I: 2-Dimensional Angles Obtained for the Subjects
SUBJECT 1
HIPANGLE KNEE ANGLE TORSO ANGLE ANKLE ANGLE
202.958 160.094 270.015 252.978
202.044 159.304 269.806 253.733
201.096 158.721 269.673 254.593
200.122 158.334 269.616 255.548
199.140 158.115 269.636 256.591
198.178 158.029 269.729 257.704
197.263 158.042 269.893 258.848
196.416 158.130 270.123 259.969
195.643 158.286 270.411 261.013194.934 158.508 270.746 261.944
194.269 158.801 271.117 262.752
193.623 159.169 271.512 263.445
192.973 159.615 271.918 264.031
192.297 160.148 272.327 264.516
191.585 160.769 272.731 264.891
190.837 161.467 273.128 265.145
190.066 162.214 273.517 265.278
189.288 162.967 273.897 265.316
188.524 163.677 274.270 265.309
187.790 164.303 274.637 265.323
187.092 164.824 274.996 265.417186.424 165.249 275.349 265.624
185.771 165.606 275.692 265.945
185.111 165.929 276.023 266.344
184.430 166.240 276.340 266.773
183.717 166.542 276.638 267.187
182.973 166.822 276.914 267.559
182.199 167.058 277.165 267.889
181.403 167.221 277.390 268.208
180.591 167.287 277.585 268.549
179.770 167.245 277.749 268.915
178.945 167.093 277.878 269.278
178.124 166.821 277.971 269.592177.314 166.406 278.021 269.810
176.533 165.804 278.026 269.888
175.809 164.945 277.978 269.770
175.191 163.734 277.875 269.375
174.744 162.072 277.713 268.596
174.541 159.874 277.490 267.315
174.643 157.104 277.208 265.400
175.088 153.783 276.868 262.726
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175.876 149.984 276.473 259.233
176.981 145.801 276.026 255.004
178.359 141.331 275.531 250.317
179.955 136.675 274.993 245.660
181.712 131.944 274.416 241.641
183.572 127.277 273.807 238.809
185.478 122.836 273.172 237.516
187.386 118.785 272.520 237.811
189.266 115.266 271.863 239.440
191.108 112.384 271.213 241.962
192.916 110.203 270.587 244.912
194.701 108.751 270.000 247.921
196.467 108.025 269.467 250.769
198.208 108.018 269.001 253.365
199.903 108.722 268.612 255.667
201.517 110.141 268.302 257.646
203.000 112.280 268.068 259.294
204.287 115.151 267.903 260.600
205.301 118.782 267.794 261.548
205.966 123.223 267.725 262.102
206.217 128.525 267.680 262.196
206.026 134.687 267.643 261.757
205.412 141.583 267.599 260.769
204.454 148.899 267.537 259.341
203.27 156.135 267.451 257.725
202.005 162.691 267.336 256.233
200.804 168.015 267.195 255.091
199.784 171.723 267.032 254.344
199.017 173.662 266.856 253.879
198.528 173.908 266.678 253.533
198.304 172.741 266.513 253.197
198.297 170.570 266.373 252.864
198.426 167.853 266.271 252.632
198.583 165.011 266.216 252.659
198.647 162.387 266.215 253.082
198.515 160.217 266.275 253.958
198.132 158.615 266.398 255.239
197.500 157.577 266.586 256.800
196.666 157.030 266.838 258.484
195.702 156.870 267.153 260.133
194.680 156.984 267.524 261.633
193.661 157.270 267.944 262.926
192.683 157.640 268.397 263.998
191.756 158.043 268.868 264.869
190.862 158.465 269.339 265.577
189.964 158.920 269.793 266.165
189.028 159.434 270.218 266.681
188.029 160.019 270.608 267.175
186.960 160.674 270.960 267.688
185.832 161.376 271.276 268.238
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184.670 162.091 271.563 268.817
183.501 162.782 271.826 269.400
182.343 163.429 272.075 269.952
181.211 164.021 272.316 270.452
180.115 164.544 272.552 270.898
179.065 164.977 272.787 271.310
178.072 165.283 273.021 271.735
177.141 165.431 273.248 272.218
176.275 165.406 273.462 272.776
175.465 165.208 273.654 273.397
174.694 164.849 273.815 274.038
173.951 164.330 273.934 274.624
173.239 163.619 274.000 275.069
172.586 162.634 274.005 275.279
172.048 161.254 273.945 275.149
171.706 159.344 273.817 274.557
171.652 156.783 273.622 273.362
171.972 153.509 273.363 271.405
172.726 149.549 273.046 268.571
173.928 145.023 272.679 264.866
175.545 140.115 272.27 260.499
177.501 135.036 271.829 255.831
179.704 129.972 271.364 251.234
182.064 125.060 270.884 247.029
184.506 120.390 270.395 243.594
186.963 116.035 269.905 241.397
189.377 112.081 269.420 240.789
191.701 108.626 268.947 241.739
193.906 105.770 268.493 243.725
195.978 103.593 268.067 245.913
197.912 102.141 267.678 247.632
199.704 101.418 267.335 248.769
201.355 101.388 267.044 249.769
202.858 102.003 266.811 251.257
204.202 103.246 266.638 253.557
205.362 105.157 266.523 256.421
206.302 107.828 266.465 259.248
206.970 111.367 266.454 261.517
207.308 115.858 266.481 263.015
207.266 121.338 266.530 263.755
206.811 127.780 266.586 263.803
205.947 135.054 266.632 263.197
204.725 142.86 266.655 261.980
203.253 150.707 266.639 260.285
201.682 157.964 266.576 258.387
200.174 164.008 266.458 256.667
198.861 168.371 266.281 255.469
197.807 170.839 266.047 254.979
197.004 171.478 265.761 255.173
196.385 170.618 265.433 255.848
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195.847 168.793 265.080 256.714
195.288 166.594 264.723 257.519
194.633 164.490 264.386 258.154
193.850 162.730 264.096 258.673
192.939 161.385 263.882 259.208
191.913 160.455 263.765 259.864
190.792 159.914 263.763 260.684
189.614 159.713 263.885 261.665
188.429 159.769 264.134 262.788
187.293 159.992 264.502 264.021
186.254 160.308 264.979 265.300
185.342 160.665 265.546 266.533
184.569 161.030 266.181 267.620
183.920 161.390 266.861 268.494
183.363 161.750 267.560 269.150
182.847 162.135 268.256 269.628
182.322 162.576 268.929 269.984
181.750 163.091 269.568 270.279
181.112 163.678 270.166 270.567
180.408 164.313 270.721 270.884
179.651 164.954 271.234 271.252
178.859 165.560 271.707 271.68
178.045 166.103 272.143 272.165
177.225 166.559 272.547 272.707
176.415 166.902 272.919 273.306
175.631 167.107 273.262 273.958
174.885 167.151 273.575 274.648
174.184 167.019 273.857 275.354
173.528 166.708 274.106 276.036
172.916 166.233 274.323 276.648
172.343 165.605 274.505 277.156
SUBJECT 2
HIPANGLE KNEE ANGLE TORSO ANGLE ANKLE ANGLE
200.348 157.361 265.613 254.181
200.225 155.418 265.569 254.314
200.035 153.711 265.607 254.750
199.784 152.215 265.726 255.512
199.481 150.909 265.924 256.568
199.136 149.795 266.198 257.824
198.750 148.882 266.541 259.182
198.314 148.198 266.943 260.544
197.808 147.791 267.394 261.811
197.208 147.688 267.877 262.918
196.499 147.889 268.380 263.842
195.681 148.364 268.891 264.585
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27
194.766 149.068 269.400 265.164
193.773 149.946 269.901 265.613
192.721 150.945 270.390 265.975
191.621 152.030 270.868 266.280
190.476 153.190 271.335 266.528
189.286 154.426 271.793 266.718
188.055 155.725 272.244 266.864
186.787 157.055 272.688 267.009
185.491 158.374 273.126 267.208
184.174 159.655 273.555 267.477
182.846 160.878 273.972 267.809
181.521 162.020 274.371 268.184
180.214 163.045 274.744 268.591
178.946 163.897 275.084 269.033
177.739 164.502 275.380 269.533
176.613 164.791 275.623 270.106
175.589 164.707 275.802 270.741
174.696 164.192 275.910 271.397
173.975 163.176 275.940 271.997
173.489 161.570 275.889 272.413
173.318 159.271 275.761 272.484
173.551 156.191 275.561 272.025
174.274 152.285 275.302 270.868
175.536 147.592 274.999 268.885
177.338 142.237 274.671 266.020
179.622 136.425 274.336 262.316
182.280 130.420 274.011 257.962
185.179 124.505 273.708 253.439
188.191 118.942 273.436 249.59
191.225 113.931 273.203 247.366
194.232 109.611 273.012 247.217
197.198 106.078 272.862 248.682
200.116 103.392 272.751 250.708
202.967 101.577 272.674 252.412
205.716 100.628 272.622 253.565
208.307 100.521 272.585 254.387
210.671 101.238 272.550 255.103
212.733 102.763 272.505 255.753
214.413 105.083 272.436 256.302
215.642 108.179 272.334 256.742
216.363 112.047 272.192 257.059
216.538 116.723 272.008 257.195
216.152 122.266 271.785 257.084
215.218 128.712 271.533 256.696
213.791 136.017 271.262 256.078
211.976 143.956 270.983 255.410
209.933 152.054 270.704 254.939
207.870 159.634 270.431 254.824
206.005 165.951 270.166 255.053
204.521 170.348 269.909 255.507
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28
203.515 172.460 269.656 256.018
202.971 172.377 269.407 256.371
202.787 170.636 269.159 256.343
202.824 168.004 268.916 255.817
202.951 165.146 268.684 254.885
203.064 162.374 268.471 253.906
203.086 159.736 268.288 253.339
202.959 157.270 268.148 253.449
202.636 155.086 268.059 254.220
202.098 153.28 268.03 255.499
201.352 151.88 268.065 257.105
200.425 150.878 268.166 258.853
199.358 150.261 268.33 260.569
198.193 150.019 268.555 262.113
196.972 150.123 268.838 263.410
195.731 150.514 269.175 264.463
194.496 151.114 269.563 265.328
193.284 151.858 269.999 266.056
192.107 152.700 270.476 266.674
190.972 153.611 270.990 267.202
189.879 154.563 271.531 267.671
188.824 155.525 272.091 268.116
187.798 156.481 272.661 268.556
186.787 157.427 273.230 269.006
185.774 158.364 273.789 269.476
184.741 159.287 274.328 269.985
183.678 160.185 274.839 270.548
182.576 161.050 275.313 271.162
181.437 161.867 275.746 271.811
180.267 162.608 276.130 272.491
179.077 163.238 276.461 273.204
177.878 163.722 276.732 273.950
176.693 164.007 276.937 274.729
175.557 164.020 277.072 275.525
174.525 163.667 277.131 276.282
173.663 162.837 277.110 276.924
173.055 161.405 277.010 277.359
172.793 159.243 276.83 277.485
172.971 156.244 276.575 277.177
173.665 152.361 276.252 276.268
174.914 147.635 275.872 274.566
176.700 142.211 275.447 271.911
178.941 136.332 274.99 268.220
181.500 130.302 274.515 263.546
184.216 124.427 274.034 258.281
186.935 118.970 273.553 253.289
189.541 114.131 273.081 249.717
191.980 110.040 272.620 248.385
194.249 106.773 272.174 249.158
196.374 104.363 271.744 251.094
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29
198.381 102.804 271.332 253.145
200.280 102.067 270.941 254.683
202.062 102.102 270.572 255.628
203.701 102.869 270.229 256.216
205.165 104.347 269.913 256.690
206.409 106.536 269.630 257.160
207.390 109.434 269.382 257.620
208.064 113.029 269.176 258.033
208.398 117.329 269.016 258.325
208.371 122.390 268.908 258.376
207.988 128.278 268.857 258.052
207.285 134.957 268.868 257.346
206.318 142.255 268.943 256.422
205.151 149.923 269.084 255.578
203.833 157.732 269.292 255.155
202.395 165.564 269.567 255.447
SUBJECT 3
HIPANGLE KNEE ANGLE TORSO ANGLE ANKLE ANGLE
194.519 167.186 278.151 254.862
193.740 168.044 278.671 255.461
192.912 168.912 279.167 255.985
192.041 169.779 279.642 256.455
191.141 170.621 280.097 256.898
190.227 171.412 280.535 257.341
189.311 172.132 280.959 257.795
188.403 172.770 281.373 258.264
187.519 173.305 281.779 258.744
186.689 173.698 282.181 259.233
185.947 173.902 282.580 259.721
185.312 173.888 282.975 260.186
184.782 173.654 283.364 260.604
184.332 173.226 283.738 260.957
183.922 172.639 284.088 261.238
183.516 171.912 284.400 261.453
183.085 171.045 284.657 261.609
182.609 170.017 284.839 261.695
182.085 168.789 284.925 261.677
181.527 167.297 284.896 261.476
180.971 165.466 284.735 260.969
180.470 163.216 284.429 260.008
180.085 160.485 283.974 258.439
179.883 157.237 283.373 256.16
179.926 153.473 282.638 253.189
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30
180.265 149.245 281.791 249.711
180.914 144.668 280.861 246.085
181.846 139.923 279.882 242.784
183.001 135.224 278.889 240.272
184.308 130.789 277.917 238.840
185.713 126.802 276.994 238.538
187.191 123.395 276.140 239.215
188.735 120.652 275.368 240.592
190.340 118.621 274.676 242.341
191.995 117.318 274.057 244.183
193.668 116.738 273.497 245.963
195.309 116.867 272.978 247.633
196.851 117.694 272.485 249.174
198.232 119.210 272.010 250.527
199.418 121.389 271.556 251.595
200.409 124.188 271.133 252.291
201.219 127.561 270.759 252.562
201.861 131.48 270.449 252.407
202.332 135.941 270.215 251.885
202.617 140.947 270.061 251.080
202.710 146.467 269.984 250.077
202.622 152.405 269.974 248.973
202.386 158.579 270.014 247.898
202.054 164.717 270.088 247.008
201.688 170.482 270.173 246.436
201.347 175.535 270.249 246.229
201.076 179.574 270.298 246.333
200.908 182.373 270.305 246.612
200.844 183.835 270.261 246.911
200.846 184.023 270.161 247.113
200.846 183.155 270.009 247.177
200.772 181.542 269.814 247.122
200.593 179.497 269.592 247.011
200.332 177.226 269.365 246.951
200.067 174.783 269.159 247.088
199.869 172.173 269.001 247.553
199.723 169.517 268.920 248.381
199.521 167.095 268.939 249.479
199.144 165.196 269.078 250.697
198.555 163.943 269.348 251.903
197.824 163.252 269.750 253.018
197.082 162.908 270.279 254.017
196.441 162.715 270.924 254.897
195.939 162.596 271.668 255.644
195.537 162.597 272.489 256.242
195.163 162.801 273.362 256.690
194.754 163.253 274.260 257.011
194.279 163.927 275.154 257.245
193.735 164.746 276.021 257.432
193.136 165.621 276.846 257.609
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31
192.493 166.487 277.618 257.802
191.809 167.301 278.330 258.039
191.088 168.036 278.980 258.351
190.336 168.665 279.569 258.762
189.568 169.168 280.102 259.281
188.799 169.529 280.584 259.895
188.043 169.743 281.024 260.578
187.317 169.805 281.430 261.310
186.634 169.709 281.812 262.08
186.001 169.462 282.174 262.886
185.414 169.080 282.524 263.729
184.864 168.597 282.864 264.601
184.337 168.042 283.192 265.475
183.815 167.440 283.506 266.310
183.273 166.822 283.796 267.056
182.681 166.215 284.053 267.666
182.012 165.627 284.262 268.093
181.250 165.041 284.409 268.276
180.398 164.418 284.478 268.143
179.473 163.703 284.455 267.601
178.516 162.827 284.329 266.557
177.601 161.69 284.092 264.935
176.844 160.149 283.743 262.687
176.379 158.048 283.286 259.814
176.326 155.265 282.73 256.395
176.751 151.767 282.089 252.656
177.644 147.639 281.377 248.994
178.920 143.070 280.611 245.918
180.448 138.322 279.810 243.887
182.095 133.67 278.986 243.152
183.773 129.343 278.151 243.714
185.451 125.493 277.315 245.361
187.121 122.228 276.483 247.732
188.761 119.645 275.660 250.415
190.326 117.836 274.848 253.066
191.768 116.866 274.050 255.468
193.044 116.768 273.271 257.510
194.134 117.541 272.520 259.159
195.042 119.146 271.811 260.435
195.798 121.514 271.163 261.365
196.440 124.573 270.602 261.945
196.994 128.271 270.149 262.140
197.470 132.572 269.822 261.902
197.862 137.447 269.630 261.22
198.149 142.868 269.569 260.137
198.307 148.779 269.624 258.769
198.331 155.052 269.772 257.273
198.248 161.457 269.985 255.823
198.107 167.692 270.234 254.572
197.964 173.424 270.489 253.612
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32
197.862 178.35 270.726 252.970
197.832 182.211 270.923 252.64
197.893 184.804 271.064 252.613
198.052 186.007 271.138 252.880
198.273 185.851 271.139 253.422
198.453 184.585 271.069 254.174
198.450 182.637 270.933 255.018
198.132 180.511 270.745 255.784
197.427 178.662 270.522 256.278
196.357 177.348 270.286 256.356
195.053 176.530 270.061 256.04
193.735 175.878 269.875 255.558
192.619 174.978 269.750 255.247
191.792 173.629 269.706 255.365
191.174 171.963 269.756 255.977
190.591 170.329 269.909 256.969
189.898 169.064 270.168 258.129
189.058 168.327 270.535 259.256
188.138 168.082 271.009 260.221
187.240 168.202 271.59 260.969
186.453 168.556 272.275 261.494
185.833 169.029 273.055 261.831
185.393 169.541 273.915 262.039
185.112 170.043 274.830 262.179
184.936 170.527 275.774 262.298
184.798 171.009 276.719 262.430
184.629 171.523 277.645 262.597
184.371 172.104 278.535 262.808
183.996 172.765 279.378 263.066
183.517 173.460 280.170 263.383
182.981 174.100 280.908 263.787
182.445 174.591 281.594 264.301
181.941 174.886 282.230 264.929
181.487 174.970 282.819 265.654
181.093 174.842 283.365 266.456
180.762 174.511 283.872 267.306
180.496 173.981 284.344 268.181
180.30 173.249 284.786 269.059
180.164 172.337 285.200 269.905
180.065 171.298 285.591 270.674
179.976 170.195 285.958 271.323
179.879 169.079 286.303 271.816
179.769 167.973 286.627 272.132
179.648 166.882 286.928 272.255
179.522 165.799 287.208 272.175
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SUBJECT 4
HIPANGLE KNEE ANGLE TORSO ANGLE ANKLE ANGLE
196.965 171.428 273.638 249.514
196.622 171.169 274.345 250.635
196.231 170.951 275.028 251.685
195.804 170.756 275.681 252.678
195.355 170.547 276.288 253.619
194.895 170.272 276.821 254.525
194.418 169.893 277.254 255.438
193.910 169.413 277.584 256.402
193.366 168.884 277.856 257.433
192.798 168.370 278.140 258.542
192.239 167.908 278.501 259.709
191.733 167.490 278.968 260.905
191.288 167.095 279.516 262.092
190.845 166.726 280.070 263.245
190.295 166.407 280.543 264.329
189.551 166.161 280.886 265.327
188.582 165.988 281.101 266.263
187.411 165.857 281.216 267.188
186.088 165.728 281.260 268.116
184.665 165.554 281.245 269.009
183.185 165.271 281.167 269.809
181.689 164.782 281.018 270.493
180.228 163.969 280.79 271.072
178.876 162.702 280.482 271.533
177.735 160.860 280.104 271.766
176.919 158.340 279.670 271.514
176.540 155.073 279.198 270.390
176.681 151.047 278.702 267.953
177.382 146.328 278.197 263.860
178.631 141.062 277.694 258.137
180.371 135.454 277.199 251.358
182.513 129.734 276.717 244.523
184.960 124.134 276.250 238.740
187.618 118.878 275.801 234.891
190.398 114.185 275.372 233.411
193.212 110.265 274.963 234.261
195.974 107.299 274.576 236.952
198.605 105.415 274.209 240.602
201.045 104.669 273.862 244.210
203.269 105.027 273.535 247.105
205.294 106.372 273.227 249.165
207.160 108.548 272.943 250.630
208.883 111.427 272.691 251.787
210.417 114.971 272.477 252.769
211.658 119.235 272.308 253.524
212.475 124.331 272.184 253.866
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34
212.774 130.353 272.098 253.624
212.534 137.295 272.041 252.835
211.814 144.987 272.000 251.858
210.734 153.018 271.964 251.367
209.442 160.748 271.920 252.089
208.076 167.456 271.861 254.251
206.748 172.564 271.783 257.129
205.522 175.805 271.685 259.264
204.418 177.281 271.568 259.319
203.413 177.408 271.434 256.896
202.462 176.753 271.286 252.736
201.513 175.777 271.127 248.291
200.522 174.703 270.961 244.915
199.45 173.602 270.795 243.294
198.263 172.513 270.638 243.446
196.941 171.507 270.504 244.913
195.49 170.688 270.409 247.026
193.948 170.141 270.372 249.187
192.379 169.891 270.414 251.067
190.852 169.897 270.549 252.613
189.430 170.077 270.79 253.909
188.161 170.341 271.139 255.058
187.080 170.602 271.596 256.127
186.210 170.784 272.155 257.156
185.562 170.833 272.807 258.162
185.130 170.726 273.541 259.159
184.889 170.467 274.340 260.156
184.789 170.091 275.183 261.162
184.761 169.655 276.038 262.172
184.727 169.211 276.872 263.191
184.612 168.801 277.656 264.217
184.356 168.455 278.364 265.232
183.920 168.187 278.980 266.216
183.285 167.994 279.495 267.151
182.447 167.862 279.901 268.028
181.415 167.756 280.190 268.858
180.204 167.620 280.358 269.663
178.840 167.397 280.401 270.456
177.363 167.026 280.319 271.216
175.836 166.433 280.117 271.898
174.340 165.513 279.804 272.448
172.969 164.146 279.390 272.762
171.839 162.214 278.893 272.649
171.081 159.609 278.338 271.814
170.823 156.259 277.755 269.867
171.155 152.165 277.172 266.370
172.114 147.411 276.609 261.040
173.678 142.142 276.086 254.089
175.788 136.545 275.615 246.334
178.362 130.832 275.206 238.929
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35
181.314 125.220 274.864 232.968
184.558 119.923 274.595 229.228
188.006 115.139 274.398 228.094
191.572 111.050 274.269 229.532
195.165 107.812 274.203 233.086
198.689 105.542 274.188 237.872
202.047 104.316 274.211 242.758
205.144 104.168 274.253 246.812
207.892 105.090 274.291 249.659
210.223 107.024 274.299 251.445
212.096 109.868 274.244 252.544
213.479 113.512 274.097 253.274
214.335 117.895 273.837 253.752
214.615 123.029 273.459 253.945
214.262 128.981 272.971 253.816
213.222 135.813 272.397 253.419
211.501 143.449 271.758 253.041
209.213 151.54 271.079 253.237
206.567 159.464 270.384 254.610
203.803 166.474 269.698 257.32
201.127 171.928 269.046 260.649
198.676 175.497 268.449 263.214
196.523 177.259 267.922 263.78
194.692 177.644 267.471 261.936
193.181 177.219 267.098 258.228
191.965 176.403 266.804 253.892
191.003 175.347 266.589 250.285
190.233 174.065 266.457 248.269
189.574 172.591 266.416 248.046
188.947 171.040 266.472 249.270
188.303 169.584 266.636 251.311
187.621 168.392 266.913 253.552
186.911 167.557 267.304 255.601
186.193 167.088 267.800 257.324
185.486 166.933 268.382 258.748
184.805 167.000 269.027 259.967
184.158 167.183 269.710 261.083
183.546 167.393 270.405 262.158
182.953 167.560 271.092 263.229
182.357 167.646 271.751 264.311
181.739 167.644 272.368 265.382
181.082 167.578 272.935 266.39
180.375 167.491 273.450 267.285
179.604 167.424 273.914 268.059
178.754 167.396 274.326 268.768
177.807 167.412 274.69 269.503
176.754 167.465 275.009 270.320
175.603 167.527 275.286 271.237
174.377 167.558 275.523 272.234
173.115 167.501 275.723 273.275
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36
171.867 167.304 275.884 274.290
170.675 166.934 276.004 275.174
169.569 166.378 276.080 275.805
168.566 165.628 276.107 276.136
167.676 164.671 276.085 276.182
166.900 163.495 276.012 275.969
SUBJECT 5
HIPANGLE KNEE ANGLE TORSO ANGLE ANKLE ANGLE
192.122 112.787 265.667 238.458
193.810 113.478 265.146 241.162
195.430 114.821 264.710 243.617
196.948 116.833 264.352 245.825
198.313 119.514 264.056 247.742199.471 122.840 263.807 249.277
200.364 126.777 263.592 250.291
200.943 131.281 263.400 250.655
201.169 136.303 263.220 250.305
201.025 141.778 263.047 249.302
200.523 147.605 262.878 247.882
199.703 153.623 262.710 246.420
198.639 159.595 262.541 245.349
197.425 165.203 262.371 245.072
196.165 170.094 262.197 245.813
194.951 173.945 262.015 247.492
193.841 176.559 261.822 249.699
192.845 177.919 261.611 251.838
191.929 178.194 261.375 253.366
191.025 177.703 261.112 253.967
190.060 176.834 260.827 253.593
188.981 175.921 260.532 252.447
187.780 175.141 260.245 250.885
186.497 174.501 259.992 249.297
185.205 173.913 259.800 248.036
183.973 173.293 259.695 247.357
182.840 172.615 259.697 247.346
181.807 171.935 259.819 247.911
180.836 171.363 260.062 248.840
179.873 171.028 260.424 249.898
178.875 171.027 260.893 250.934
177.831 171.388 261.461 251.888
176.766 172.072 262.117 252.729
175.734 172.978 262.856 253.458
174.807 173.979 263.668 254.088
174.041 174.943 264.544 254.648
173.457 175.774 265.462 255.172
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37
173.030 176.418 266.392 255.682
172.700 176.870 267.302 256.175
172.402 177.159 268.170 256.631
172.082 177.335 268.981 257.028
171.706 177.455 269.738 257.375
171.258 177.565 270.446 257.705
170.734 177.696 271.116 258.047
170.134 177.861 271.755 258.413
169.458 178.055 272.364 258.799
168.706 178.267 272.945 259.197
167.882 178.484 273.49 259.583
166.989 178.688 273.992 259.92
166.036 178.845 274.438 260.170
165.039 178.902 274.816 260.300
164.020 178.791 275.114 260.270
163.007 178.444 275.319 260.065
162.028 177.801 275.423 259.682
161.115 176.815 275.422 259.096
160.308 175.442 275.313 258.238
159.662 173.635 275.098 256.972
159.247 171.338 274.784 255.125
159.156 168.486 274.384 252.484
159.484 165.016 273.916 248.878
160.306 160.902 273.398 244.268
161.654 156.181 272.849 238.88
163.506 150.968 272.285 233.374
165.794 145.444 271.722 228.835
168.44 139.812 271.178 226.325
171.381 134.266 270.671 226.329
174.584 128.975 270.223 228.499
178.028 124.084 269.856 231.916
181.684 119.717 269.584 235.619
185.494 115.989 269.416 239.053
189.353 113.021 269.338 242.160
193.120 110.935 269.323 245.095
196.631 109.849 269.326 247.926
199.710 109.856 269.287 250.561
202.192 111.012 269.147 252.849
203.944 113.320 268.853 254.680
204.894 116.719 268.377 256.011
205.060 121.086 267.724 256.833
204.549 126.248 266.936 257.113
203.524 132.022 266.079 256.802
202.152 138.252 265.22 255.866
200.568 144.809 264.414 254.344
198.879 151.544 263.694 252.442
197.167 158.239 263.069 250.581
195.500 164.572 262.531 249.309
193.93 170.161 262.056 249.083
192.481 174.667 261.617 250.029
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177.292 122.568 267.411 232.397
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APPENDIX II: Modified 2-Dimensional Angles of Subjects
SUBJECT 1
HIPANGLE KNEE ANGLE TORSO ANGLE ANKLE ANGLE
190.066 164.303 273.517 265.316
189.288 164.824 273.897 265.309
188.524 165.249 274.27 265.323
187.79 165.606 274.637 265.417
187.092 165.929 274.996 265.624
186.424 166.24 275.349 265.945
185.771 166.542 275.692 266.344
185.111 166.822 276.023 266.773
184.43 167.058 276.34 267.187183.717 167.221 276.638 267.559
182.973 167.287 276.914 267.889
182.199 167.245 277.165 268.208
181.403 167.093 277.39 268.549
180.591 166.821 277.585 268.915
179.77 166.406 277.749 269.278
178.945 165.804 277.878 269.592
178.124 164.945 277.971 269.81
177.314 163.734 278.021 269.888
176.533 162.072 278.026 269.77
175.809 159.874 277.978 269.375
175.191 157.104 277.875 268.596174.744 153.783 277.713 267.315
174.541 149.984 277.49 265.4
174.643 145.801 277.208 262.726
175.088 141.331 276.868 259.233
175.876 136.675 276.473 255.004
176.981 131.944 276.026 250.317
178.359 127.277 275.531 245.66
179.955 122.836 274.993 241.641
181.712 118.785 274.416 238.809
183.572 115.266 273.807 237.516
185.478 112.384 273.172 237.811
187.386 110.203 272.52 239.44189.266 108.751 271.863 241.962
191.108 108.025 271.213 244.912
192.916 108.018 270.587 247.921
194.701 108.722 270 250.769
196.467 110.141 269.467 253.365
198.208 112.28 269.001 255.667
199.903 115.151 268.612 257.646
201.517 118.782 268.302 259.294
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203 123.223 268.068 260.6
204.287 128.525 267.903 261.548
205.301 134.687 267.794 262.102
205.966 141.583 267.725 262.196
206.217 148.899 267.68 261.757
206.026 156.135 267.643 260.769
205.412 162.691 267.599 259.341
204.454 168.015 267.537 257.725
203.27 171.723 267.451 256.233
202.005 173.662 267.336 255.091
200.804 173.908 267.195 254.344
199.784 172.741 267.032 253.879
199.017 170.57 266.856 253.533
198.528 167.853 266.678 253.197
198.304 165.011 266.513 252.864
198.297 162.387 266.373 252.632
198.426 160.217 266.271 252.659
198.583 158.615 266.216 253.082
198.647 157.577 266.215 253.958
198.515 157.03 266.275 255.239
198.132 156.87 266.398 256.8
197.5 156.984 266.586 258.484
196.666 157.27 266.838 260.133
195.702 157.64 267.153 261.633
194.68 158.043 267.524 262.926
193.661 158.465 267.944 263.998
192.683 158.92 268.397 264.869
191.756 159.434 268.868 265.577
190.862 160.019 269.339 266.165
189.964 160.674 269.793 266.681
189.028 161.376 270.218 267.175
188.029 162.091 270.608 267.688
186.96 162.782 270.96 268.238
185.832 163.429 271.276 268.817
184.67 164.021 271.563 269.4
183.501 164.544 271.826 269.952
182.343 164.977 272.075 270.452
181.211 165.283 272.316 270.898
180.115 165.431 272.552 271.31
179.065 165.406 272.787 271.735
178.072 165.208 273.021 272.218
177.141 164.849 273.248 272.776
176.275 164.33 273.462 273.397
175.465 163.619 273.654 274.038
174.694 162.634 273.815 274.624
173.951 161.254 273.934 275.069
173.239 159.344 274 275.279
172.586 156.783 274.005 275.149
172.048 153.509 273.945 274.557
171.706 149.549 273.817 273.362
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171.652 145.023 273.622 271.405
171.972 140.115 273.363 268.571
172.726 135.036 273.046 264.866
173.928 129.972 272.679 260.499
175.545 125.06 272.27 255.831
177.501 120.39 271.829 251.234
179.704 116.035 271.364 247.029
182.064 112.081 270.884 243.594
184.506 108.626 270.395 241.397
186.963 105.77 269.905 240.789
189.377 103.593 269.42 241.739
191.701 102.141 268.947 243.725
193.906 101.418 268.493 245.913
195.978 101.388 268.067 247.632
197.912 102.003 267.678 248.769
SUBJECT 2
HIPANGLE KNEE ANGLE TORSO ANGLE ANKLE ANGLE
197.808 149.068 269.4 265.164
197.208 149.946 269.901 265.613
196.499 150.945 270.39 265.975
195.681 152.03 270.868 266.28
194.766 153.19 271.335 266.528
193.773 154.426 271.793 266.718
192.721 155.725 272.244 266.864
191.621 157.055 272.688 267.009
190.476 158.374 273.126 267.208
189.286 159.655 273.555 267.477
188.055 160.878 273.972 267.809
186.787 162.02 274.371 268.184
185.491 163.045 274.744 268.591
184.174 163.897 275.084 269.033
182.846 164.502 275.38 269.533
181.521 164.791 275.623 270.106
180.214 164.707 275.802 270.741
178.946 164.192 275.91 271.397
177.739 163.176 275.94 271.997
176.613 161.57 275.889 272.413
175.589 159.271 275.761 272.484
174.696 156.191 275.561 272.025
173.975 152.285 275.302 270.868
173.489 147.592 274.999 268.885
173.318 142.237 274.671 266.02
173.551 136.425 274.336 262.316
174.274 130.42 274.011 257.962
175.536 124.505 273.708 253.439
177.338 118.942 273.436 249.59
179.622 113.931 273.203 247.366
182.28 109.611 273.012 247.217
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185.179 106.078 272.862 248.682
188.191 103.392 272.751 250.708
191.225 101.577 272.674 252.412
194.232 100.628 272.622 253.565
197.198 100.521 272.585 254.387
200.116 101.238 272.55 255.103
202.967 102.763 272.505 255.753
205.716 105.083 272.436 256.302
208.307 108.179 272.334 256.742
210.671 112.047 272.192 257.059
212.733 116.723 272.008 257.195
214.413 122.266 271.785 257.084
215.642 128.712 271.533 256.696
216.363 136.017 271.262 256.078
216.538 143.956 270.983 255.41
216.152 152.054 270.704 254.939
215.218 159.634 270.431 254.824
213.791 165.951 270.166 255.053
211.976 170.348 269.909 255.507
209.933 172.46 269.656 256.018
207.87 172.377 269.407 256.371
206.005 170.636 269.159 256.343
204.521 168.004 268.916 255.817
203.515 165.146 268.684 254.885
202.971 162.374 268.471 253.906
202.787 159.736 268.288 253.339
202.824 157.27 268.148 253.449
202.951 155.086 268.059 254.22
203.064 153.28 268.03 255.499
203.086 151.88 268.065 257.105
202.959 150.878 268.166 258.853
202.636 150.261 268.33 260.569
202.098 150.019 268.555 262.113
201.352 150.123 268.838 263.41
200.425 150.514 269.175 264.463
199.358 151.114 269.563 265.328
198.193 151.858 269.999 266.056
196.972 152.7 270.476 266.674
195.731 153.611 270.99 267.202
194.496 154.563 271.531 267.671
193.284 155.525 272.091 268.116
192.107 156.481 272.661 268.556
190.972 157.427 273.23 269.006
189.879 158.364 273.789 269.476
188.824 159.287 274.328 269.985
187.798 160.185 274.839 270.548
186.787 161.05 275.313 271.162
185.774 161.867 275.746 271.811
184.741 162.608 276.13 272.491
183.678 163.238 276.461 273.204
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182.576 163.722 276.732 273.95
181.437 164.007 276.937 274.729
180.267 164.02 277.072 275.525
179.077 163.667 277.131 276.282
177.878 162.837 277.11 276.924
176.693 161.405 277.01 277.359
175.557 159.243 276.83 277.485
174.525 156.244 276.575 277.177
173.663 152.361 276.252 276.268
173.055 147.635 275.872 274.566
172.793 142.211 275.447 271.911
172.971 136.332 274.99 268.22
173.665 130.302 274.515 263.546
174.914 124.427 274.034 258.281
176.7 118.97 273.553 253.289
178.941 114.131 273.081 249.717
181.5 110.04 272.62 248.385
184.216 106.773 272.174 249.158
186.935 104.363 271.744 251.094
189.541 102.804 271.332 253.145
191.98 102.067 270.941 254.683
194.249 102.102 270.572 255.628
196.374 102.869 270.229 256.216
198.381 104.347 269.913 256.69
200.28 106.536 269.63 257.16
SUBJECT 3
HIPANGLE KNEE ANGLE TORSO ANGLE ANKLE ANGLE
194.519 167.186 278.151 254.862
193.74 168.044 278.671 255.461
192.912 168.912 279.167 255.985
192.041 169.779 279.642 256.455
191.141 170.621 280.097 256.898
190.227 171.412 280.535 257.341
189.311 172.132 280.959 257.795
188.403 172.77 281.373 258.264
187.519 173.305 281.779 258.744
186.689 173.698 282.181 259.233
185.947 173.902 282.58 259.721
185.312 173.888 282.975 260.186
184.782 173.654 283.364 260.604
184.332 173.226 283.738 260.957
183.922 172.639 284.088 261.238
183.516 171.912 284.4 261.453
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183.085 171.045 284.657 261.609
182.609 170.017 284.839 261.695
182.085 168.789 284.925 261.677
181.527 167.297 284.896 261.476
180.971 165.466 284.735 260.969
180.47 163.216 284.429 260.008
180.085 160.485 283.974 258.439
179.883 157.237 283.373 256.16
179.926 153.473 282.638 253.189
180.265 149.245 281.791 249.711
180.914 144.668 280.861 246.085
181.846 139.923 279.882 242.784
183.001 135.224 278.889 240.272
184.308 130.789 277.917 238.84
185.713 126.802 276.994 238.538
187.191 123.395 276.14 239.215
188.735 120.652 275.368 240.592
190.34 118.621 274.676 242.341
191.995 117.318 274.057 244.183
193.668 116.738 273.497 245.963
195.309 116.867 272.978 247.633
196.851 117.694 272.485 249.174
198.232 119.21 272.01 250.527
199.418 121.389 271.556 251.595
200.409 124.188 271.133 252.291
201.219 127.561 270.759 252.562
201.861 131.48 270.449 252.407
202.332 135.941 270.215 251.885
202.617 140.947 270.061 251.08
202.71 146.467 269.984 250.077
202.622 152.405 269.974 248.973
202.386 158.579 270.014 247.898
202.054 164.717 270.088 247.008
201.688 170.482 270.173 246.436
201.347 175.535 270.249 246.229
201.076 179.574 270.298 246.333
200.908 182.373 270.305 246.612
200.844 183.835 270.261 246.911
200.846 184.023 270.161 247.113
200.846 183.155 270.009 247.177
200.772 181.542 269.814 247.122
200.593 179.497 269.592 247.011
200.332 177.226 269.365 246.951
200.067 174.783 269.159 247.088
199.869 172.173 269.001 247.553
199.723 169.517 268.92 248.381
199.521 167.095 268.939 249.479
199.144 165.196 269.078 250.697
198.555 163.943 269.348 251.903
197.824 163.252 269.75 253.018
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197.082 162.908 270.279 254.017
196.441 162.715 270.924 254.897
195.939 162.596 271.668 255.644
195.537 162.597 272.489 256.242
195.163 162.801 273.362 256.69
194.754 163.253 274.26 257.011
194.279 163.927 275.154 257.245
193.735 164.746 276.021 257.432
193.136 165.621 276.846 257.609
192.493 166.487 277.618 257.802
191.809 167.301 278.33 258.039
191.088 168.036 278.98 258.351
190.336 168.665 279.569 258.762
189.568 169.168 280.102 259.281
188.799 169.529 280.584 259.895
188.043 169.743 281.024 260.578
187.317 169.805 281.43 261.31
186.634 169.709 281.812 262.08
186.001 169.462 282.174 262.886
185.414 169.08 282.524 263.729
184.864 168.597 282.864 264.601
184.337 168.042 283.192 265.475
183.815 167.44 283.506 266.31
183.273 166.822 283.796 267.056
182.681 166.215 284.053 267.666
182.012 165.627 284.262 268.093
181.25 165.041 284.409 268.276
180.398 164.418 284.478 268.143
179.473 163.703 284.455 267.601
178.516 162.827 284.329 266.557
177.601 161.69 284.092 264.935
176.844 160.149 283.743 262.687
176.379 158.048 283.286 259.814
176.326 155.265 282.73 256.395
176.751 151.767 282.089 252.656
177.644 147.639 281.377 248.994
178.92 143.07 280.611 245.918
180.448 138.322 279.81 243.887
182.095 133.67 278.986 243.152
183.773 129.343 278.151 243.714
SUBJECT 4
HIPANGLE KNEE ANGLE TORSO ANGLE ANKLE ANGLE
195.804 170.756 273.638 253.619
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195.355 170.547 274.345 254.525
194.895 170.272 275.028 255.438
194.418 169.893 275.681 256.402
193.91 169.413 276.288 257.433
193.366 168.884 276.821 258.542
192.798 168.37 277.254 259.709
192.239 167.908 277.584 260.905
191.733 167.49 277.856 262.092
191.288 167.095 278.14 263.245
190.845 166.726 278.501 264.329
190.295 166.407 278.968 265.327
189.551 166.161 279.516 266.263
188.582 165.988 280.07 267.188
187.411 165.857 280.543 268.116
186.088 165.728 280.886 269.009
184.665 165.554 281.101 269.809
183.185 165.271 281.216 270.493
181.689 164.782 281.26 271.072
180.228 163.969 281.245 271.533
178.876 162.702 281.167 271.766
177.735 160.86 281.018 271.514
176.919 158.34 280.79 270.39
176.54 155.073 280.482 267.953
176.681 151.047 280.104 263.86
177.382 146.328 279.67 258.137
178.631 141.062 279.198 251.358
180.371 135.454 278.702 244.523
182.513 129.734 278.197 238.74
184.96 124.134 277.694 234.891
187.618 118.878 277.199 233.411
190.398 114.185 276.717 234.261
193.212 110.265 276.25 236.952
195.974 107.299 275.801 240.602
198.605 105.415 275.372 244.21
201.045 104.669 274.963 247.105
203.269 105.027 274.576 249.165
205.294 106.372 274.209 250.63
207.16 108.548 273.862 251.787
208.883 111.427 273.535 252.769
210.417 114.971 273.227 253.524
211.658 119.235 272.943 253.866
212.475 124.331 272.691 253.624
212.774 130.353 272.477 252.835
212.534 137.295 272.308 251.858
211.814 144.987 272.184 251.367
210.734 153.018 272.098 252.089
209.442 160.748 272.041 254.251
208.076 167.456 272 257.129
206.748 172.564 271.964 259.264
205.522 175.805 271.92 259.319
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204.418 177.281 271.861 256.896
203.413 177.408 271.783 252.736
202.462 176.753 271.685 248.291
201.513 175.777 271.568 244.915
200.522 174.703 271.434 243.294
199.45 173.602 271.286 243.446
198.263 172.513 271.127 244.913
196.941 171.507 270.961 247.026
195.49 170.688 270.795 249.187
193.948 170.141 270.638 251.067
192.379 169.891 270.504 252.613
190.852 169.897 270.409 253.909
189.43 170.077 270.372 255.058
188.161 170.341 270.414 256.127
187.08 170.602 270.549 257.156
186.21 170.784 270.79 258.162
185.562 170.833 271.139 259.159
185.13 170.726 271.596 260.156
184.889 170.467 272.155 261.162
184.789 170.091 272.807 262.172
184.761 169.655 273.541 263.191
184.727 169.211 274.34 264.217
184.612 168.801 275.183 265.232
184.356 168.455 276.038 266.216
183.92 168.187 276.872 267.151
183.285 167.994 277.656 268.028
182.447 167.862 278.364 268.858
181.415 167.756 278.98 269.663
180.204 167.62 279.495 270.456
178.84 167.397 279.901 271.216
177.363 167.026 280.19 271.898
175.836 166.433 280.358 272.448
174.34 165.513 280.401 272.762
172.969 164.146 280.319 272.649
171.839 162.214 280.117 271.814
171.081 159.609 279.804 269.867
170.823 156.259 279.39 266.37
171.155 152.165 278.893 261.04
172.114 147.411 278.338 254.089
173.678 142.142 277.755 246.334
175.788 136.545 277.172 238.929
178.362 130.832 276.609 232.968
181.314 125.22 276.086 229.228
184.558 119.923 275.615 228.094
188.006 115.139 275.206 229.532
191.572 111.05 274.864 233.086
195.165 107.812 274.595 237.872
198.689 105.542 274.398 242.758
202.047 104.316 274.269 246.812
205.144 104.168 274.203 249.659
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207.892 105.09 274.188 251.445
210.223 107.024 274.211 252.544
212.096 109.868 274.253 253.274
213.479 113.512 274.291 253.752
214.335 117.895 274.299 253.945
SUBJECT 5
HIPANGLE KNEE ANGLE TORSO ANGLE ANKLE ANGLE
176.766 176.418 264.544 254.088
175.734 176.87 265.462 254.648
174.807 177.159 266.392 255.172
174.041 177.335 267.302 255.682
173.457 177.455 268.17 256.175
173.03 177.565 268.981 256.631
172.7 177.696 269.738 257.028
172.402 177.861 270.446 257.375
172.082 178.055 271.116 257.705
171.706 178.267 271.755 258.047
171.258 178.484 272.364 258.413
170.734 178.688 272.945 258.799
170.134 178.845 273.49 259.197
169.458 178.902 273.992 259.583
168.706 178.791 274.438 259.92
167.882 178.444 274.816 260.17
166.989 177.801 275.114 260.3
166.036 176.815 275.319 260.27
165.039 175.442 275.423 260.065
164.02 173.635 275.422 259.682
163.007 171.338 275.313 259.096
162.028 168.486 275.098 258.238
161.115 165.016 274.784 256.972
160.308 160.902 274.384 255.125
159.662 156.181 273.916 252.484
159.247 150.968 273.398 248.878
159.156 145.444 272.849 244.268
159.484 139.812 272.285 238.88
160.306 134.266 271.722 233.374
161.654 128.975 271.178 228.835
163.506 124.084 270.671 226.325
165.794 119.717 270.223 226.329
168.44 115.989 269.856 228.499
171.381 113.021 269.584 231.916
174.584 110.935 269.416 235.619
178.028 109.849 269.338 239.053
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181.684 109.856 269.323 242.16
185.494 111.012 269.326 245.095
189.353 113.32 269.287 247.926
193.12 116.719 269.147 250.561
196.631 121.086 268.853 252.849
199.71 126.248 268.377 254.68
202.192 132.022 267.724 256.011
203.944 138.252 266.936 256.833
204.894 144.809 266.079 257.113
205.06 151.544 265.22 256.802
204.549 158.239 264.414 255.866
203.524 164.572 263.694 254.344
202.152 170.161 263.069 252.442
200.568 174.667 262.531 250.581
198.879 177.877 262.056 249.309
197.167 179.753 261.617 249.083
195.5 180.432 261.183 250.029
193.93 180.189 260.733 251.816
192.481 179.366 260.25 253.76
191.148 178.28 259.729 255.128
189.891 177.129 259.179 255.44
188.65 175.961 258.618 254.638
187.364 174.757 258.074 253.075
185.988 173.515 257.582 251.313
184.515 172.299 257.179 249.871
182.979 171.23 256.903 249.089
181.446 170.432 256.786 249.101
179.986 169.999 256.854 249.855
178.649 169.969 257.123 251.152
177.453 170.325 257.596 252.717
176.387 171.002 258.264 254.264
175.429 171.908 259.102 255.575
174.559 172.947 260.07 256.536
173.764 174.028 261.115 257.152
173.034 175.075 262.173 257.513
172.356 176.018 263.187 257.749
171.703 176.805 264.111 257.988
171.037 177.419 264.932 258.331
170.312 177.874 265.667 258.835
169.499 178.205 266.351 259.493
168.611 178.457 267.018 260.237
167.702 178.67 267.693 260.982
166.832 178.873 268.387 261.663
166.039 179.073 269.098 262.256
165.328 179.259 269.81 262.765
164.679 179.404 270.503 263.221
164.054 179.457 271.158 263.656
163.413 179.346 271.756 264.075
162.731 178.993 272.28 264.456
161.992 178.323 272.715 264.764
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161.197 177.266 273.043 264.959
160.36 175.76 273.248 264.985
159.503 173.762 273.313 264.771
158.651 171.248 273.225 264.239
157.831 168.201 272.979 263.3
157.072 164.624 272.581 261.853
156.409 160.547 272.053 259.783
155.886 156.046 271.428 256.952
155.562 151.237 270.75 253.205
155.51 146.26 270.066 248.433
155.809 141.248 269.417 242.734
156.527 136.311 268.837 236.663
157.704 131.527 268.348 231.231
159.343 126.939 267.96 227.467
161.418 122.568 267.676 225.891
163.892 122.034 267.494 226.415
166.731 121.476 267.411 228.673
169.912 120.663 267.395 232.397
173.431 120.057 267.399 232.423
177.292 119.321 267.421 232.665
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APPENDIX III: Fuzzified Data for the angles of the Body Parts of the
Subjects
SUBJECT 1
HIP KNEE TORSO ANKLE
171.652 0.300197 101.388 0.117584 266.215 0.329034 237.516 0.077974
171.706 0.302691 101.418 0.117911 266.216 0.329167 237.811 0.08324
171.972 0.315151 102.003 0.124421 266.271 0.336456 238.809 0.103189
172.048 0.318764 102.141 0.125996 266.275 0.336989 239.44 0.117612
172.586 0.34499 103.593 0.143492 266.373 0.350203 240.789 0.153554
172.726 0.351998 105.770 0.173007 266.398 0.353620 241.397 0.172164
173.239 0.378297 108.018 0.207794 266.513 0.369543 241.641 0.180069
173.928 0.415049 108.025 0.20791 266.586 0.379833 241.739 0.183315
173.951 0.416303 108.626 0.217972 266.678 0.392997 241.962 0.190856
174.541 0.448982 108.722 0.219609 266.838 0.416379 243.594 0.252589
174.643 0.45473 108.751 0.220105 266.856 0.419043 243.725 0.258045
174.694 0.457613 110.141 0.244766 267.032 0.445499 244.912 0.310799
174.744 0.460447 110.203 0.245906 267.153 0.464046 245.66 0.346995
175.088 0.480104 112.081 0.282044 267.195 0.470545 245.913 0.359724
175.191 0.486042 112.28 0.286053 267.336 0.492582 247.029 0.418556
175.465 0.501944 112.384 0.288162 267.451 0.510774 247.632 0.451965
175.545 0.506614 115.151 0.347589 267.524 0.522411 247.921 0.468321
175.809 0.522105 115.266 0.350192 267.537 0.524490 248.769 0.517373
175.876 0.526053 116.035 0.367858 267.599 0.534432 250.317 0.609433
176.275 0.549695 118.782 0.434349 267.643 0.541510 250.769 0.636473
176.533 0.565077 118.785 0.434424 267.678 0.547153 251.234 0.664161
176.981 0.591898 120.390 0.475377 267.680 0.547473 252.632 0.745354
177.141 0.601496 122.836 0.53996 267.725 0.554744 252.659 0.746875
177.314 0.611876 123.223 0.55035 267.794 0.565917 252.864 0.758358
177.501 0.623093 125.060 0.600007 267.903 0.583621 253.082 0.770416
178.072 0.657238 127.277 0.659983 267.944 0.590289 253.197 0.776709
178.124 0.660334 128.525 0.693342 268.067 0.610314 253.365 0.785813
178.359 0.674287 129.972 0.731282 268.068 0.610478 253.533 0.794805
178.945 0.70871 131.944 0.78107 268.302 0.64852 253.879 0.812944
179.065 0.715675 134.687 0.845016 268.397 0.663884 253.958 0.817009
179.704 0.75215 135.036 0.852599 268.493 0.679331 254.344 0.836437
179.77 0.755851 136.675 0.88624 268.612 0.698331 255.004 0.867808
179.955 0.766144 140.115 0.944586 268.868 0.738472 255.091 0.871754
180.115 0.77495 141.331 0.960666 268.947 0.7506 255.239 0.878359
180.591 0.800564 141.583 0.963676 269.001 0.758811 255.667 0.896665
181.211 0.832428 145.023 0.993035 269.339 0.808403 255.831 0.903352
181.403 0.841908 145.801 0.996524 269.42 0.819762 256.233 0.918938
181.712 0.856742 148.899 0.998485 269.467 0.826244 256.8 0.938861
182.064 0.872965 149.549 0.996468 269.793 0.868823 257.646 0.963764
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182.199 0.878986 149.984 0.994651 269.905 0.882391 257.725 0.965779
182.343 0.885279 153.509 0.966471 270 0.893432 258.484 0.982304
182.973 0.911169 153.783 0.963311 270.218 0.917033 259.233 0.993406
183.501 0.930662 156.135 0.930849 270.395 0.934298 259.294 0.994077
183.572 0.93312 156.783 0.920309 270.587 0.950962 259.341 0.994569
183.717 0.938017 156.87 0.918844 270.608 0.952648 260.133 0.999657
184.43 0.959597 156.984 0.916907 270.884 0.972221 260.499 0.99995
184.506 0.961645 157.03 0.91612 270.96 0.976738 260.6 0.999802
184.67 0.965891 157.104 0.914847 271.213 0.988957 260.769 0.99933
185.111 0.976128 157.27 0.911962 271.276 0.991311 261.548 0.993578
185.478 0.983302 157.577 0.906519 271.364 0.994133 261.633 0.992597
185.771 0.988131 157.64 0.905385 271.563 0.998486 261.757 0.991043
185.832 0.989035 158.043 0.897995 271.826 0.999879 262.102 0.985954
186.424 0.995964 158.465 0.890011 271.829 0.999866 262.196 0.984373
186.96 0.999319 158.615 0.887115 271.863 0.999675 262.726 0.97394
186.963 0.99933 158.92 0.881132 272.075 0.996609 262.926 0.969343
187.092 0.999716 159.344 0.872612 272.27 0.990958 263.998 0.938807
187.386 0.999986 159.434 0.870773 272.316 0.989234 264.866 0.907312
187.79 0.998979 159.874 0.861642 272.52 0.979823 264.869 0.907193
188.029 0.997632 160.019 0.858581 272.552 0.978088 265.309 0.889128
188.524 0.993083 160.217 0.85436 272.679 0.970529 265.316 0.888829
189.028 0.986039 160.674 0.844446 272.787 0.963264 265.323 0.888531
189.266 0.981881 161.254 0.831528 273.021 0.944979 265.4 0.885228
189.288 0.981471 161.376 0.828765 273.046 0.942827 265.417 0.884493
189.377 0.979763 162.072 0.812715 273.172 0.931411 265.577 0.877489
189.964 0.966693 162.091 0.812271 273.248 0.924082 265.624 0.8754
190.066 0.964109 162.387 0.805298 273.363 0.912375 265.945 0.860773
190.862 0.940876 162.634 0.799418 273.462 0.901729 266.165 0.850396
191.108 0.93264 162.691 0.798053 273.517 0.895595 266.344 0.841753
191.701 0.910859 162.782 0.795869 273.622 0.883463 266.681 0.825018
191.756 0.908707 163.429 0.780136 273.654 0.879662 266.773 0.820349
192.683 0.8693 163.619 0.775452 273.807 0.860822 267.175 0.799486
192.916 0.858531 163.734 0.772604 273.815 0.859809 267.187 0.79885
193.661 0.822048 164.021 0.765453 273.817 0.859557 267.315 0.792051
193.906 0.80943 164.303 0.758369 273.897 0.849261 267.559 0.778905
194.68 0.76786 164.33 0.757687 273.934 0.844411 267.688 0.771861
194.701 0.766699 164.544 0.752271 273.945 0.842956 267.889 0.760767
195.702 0.709817 164.824 0.745141 274 0.835621 268.208 0.742886
195.978 0.693692 164.849 0.744502 274.005 0.834947 268.238 0.741189
196.467 0.664798 164.945 0.742044 274.27 0.797994 268.549 0.723443
196.666 0.652949 164.977 0.741224 274.416 0.776656 268.571 0.722178
197.5 0.602998 165.011 0.740352 274.637 0.743259 268.596 0.720739
197.912 0.578296 165.208 0.735285 274.993 0.687345 268.817 0.707958
198.132 0.565139 165.249 0.734227 274.996 0.686867 268.915 0.702254
198.208 0.560602 165.283 0.733349 275.349 0.62986 269.278 0.680973
198.297 0.555295 165.406 0.730169 275.531 0.60023 269.375 0.675251
198.304 0.554878 165.431 0.729522 275.692 0.574044 269.4 0.673774
198.426 0.547617 165.606 0.72498 276.023 0.520665 269.592 0.6624
198.515 0.542329 165.804 0.719823 276.026 0.520188 269.77 0.65182
198.528 0.541558 165.929 0.716558 276.34 0.470711 269.81 0.649437
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198.583 0.538297 166.24 0.7084 276.473 0.450234 269.888 0.644788
198.647 0.534505 166.406 0.704029 276.638 0.425308 269.952 0.64097
199.017 0.512705 166.542 0.700438 276.868 0.391564 270.452 0.61107
199.784 0.468302 166.821 0.693051 276.914 0.384968 270.898 0.584373
199.903 0.461528 166.822 0.693024 277.165 0.349941 271.31 0.559786
200.804 0.411465 167.058 0.686752 277.208 0.344112 271.405 0.554135
201.517 0.373617 167.093 0.68582 277.39 0.320022 271.735 0.53458
202.005 0.348738 167.221 0.682409 277.49 0.307202 272.218 0.506224
203 0.300845 167.245 0.681769 277.585 0.295299 272.776 0.473989
203.27 0.288541 167.287 0.680648 277.713 0.279698 273.362 0.440901
204.287 0.244972 167.853 0.665493 277.749 0.275404 273.397 0.438953
204.454 0.238245 168.015 0.66114 277.875 0.26069 274.038 0.403908
205.301 0.205997 170.57 0.592009 277.878 0.260347 274.557 0.376487
205.412 0.202002 171.723 0.560826 277.971 0.249817 274.624 0.373015
205.966 0.182865 172.741 0.533482 277.978 0.249037 275.069 0.350359
206.026 0.180872 173.662 0.508984 278.021 0.244272 275.149 0.346364
206.217 0.17463 173.908 0.502489 278.026 0.243722 275.279 0.339923
SUBJECT 2
HIP KNEE TORSO ANKLE
172.793 0.336542 100.521 0.163648 268.03 0.220558 247.217 0.182196
172.971 0.343593 100.628 0.16513 268.059 0.224796 247.366 0.188269
173.055 0.346948 101.238 0.173762 268.065 0.225682 248.385 0.233591
173.318 0.357563 101.577 0.178696 268.148 0.238148 248.682 0.248052
173.489 0.364554 102.067 0.186002 268.166 0.240905 249.158 0.272396
173.551 0.367105 102.102 0.186532 268.288 0.260166 249.59 0.295717
173.663 0.371737 102.763 0.196737 268.33 0.267013 249.717 0.302791
173.665 0.371819 102.804 0.197382 268.471 0.290815 250.708 0.361246
173.975 0.384789 102.869 0.198409 268.555 0.305572 251.094 0.385483
174.274 0.397499 103.392 0.206801 268.684 0.32906 252.412 0.473477
174.525 0.408315 104.347 0.222742 268.838 0.358358 253.145 0.525135
174.696 0.415757 104.363 0.223016 268.916 0.373685 253.289 0.535441
174.914 0.425328 105.083 0.235574 269.159 0.423411 253.339 0.53903
175.536 0.45312 106.078 0.253674 269.175 0.42678 253.439 0.546219
175.557 0.454071 106.536 0.262295 269.4 0.475264 253.449 0.54694
175.589 0.45552 106.773 0.266827 269.407 0.476806 253.565 0.555302
176.613 0.502703 108.179 0.294702 269.563 0.511465 253.906 0.579984
176.693 0.506447 109.611 0.324789 269.63 0.526555 254.22 0.602789
176.7 0.506775 110.04 0.334125 269.656 0.532436 254.387 0.614926
177.338 0.536889 112.047 0.379663 269.901 0.588372 254.683 0.636416
177.739 0.555996 113.931 0.424972 269.909 0.590208 254.824 0.64663
177.878 0.562644 114.131 0.429913 269.913 0.591126 254.885 0.65104
178.941 0.613709 116.723 0.495849 269.999 0.610882 254.939 0.654941
178.946 0.613949 118.942 0.55443 270.166 0.64918 255.053 0.663163
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179.077 0.62025 118.97 0.555177 270.229 0.663559 255.103 0.666762
179.622 0.646414 122.266 0.643623 270.39 0.699944 255.41 0.688751
180.214 0.674656 124.427 0.70096 270.431 0.709098 255.499 0.695084
180.267 0.677171 124.505 0.703001 270.476 0.719091 255.507 0.695653
181.437 0.731841 128.712 0.807971 270.572 0.740152 255.628 0.704226
181.5 0.734727 130.302 0.843929 270.704 0.76847 255.753 0.713035
181.521 0.735687 130.42 0.846493 270.868 0.802363 255.817 0.717526
182.28 0.769826 136.017 0.947246 270.941 0.816911 256.018 0.731535
182.576 0.782796 136.332 0.951517 270.983 0.825113 256.078 0.735686
182.846 0.794434 136.425 0.952747 270.99 0.826466 256.216 0.745179
183.678 0.829003 142.211 0.998506 271.262 0.87609 256.302 0.751052
184.174 0.848564 142.237 0.998569 271.332 0.887811 256.343 0.753839
184.216 0.850181 143.956 0.999743 271.335 0.888301 256.371 0.75574
184.741 0.869839 147.592 0.983242 271.531 0.918457 256.69 0.777105
185.179 0.885411 147.635 0.982896 271.533 0.918741 256.696 0.777503
185.491 0.896013 149.068 0.969409 271.744 0.94645 256.742 0.780537
185.774 0.905261 149.946 0.959323 271.785 0.951227 257.059 0.801112
186.787 0.935279 150.019 0.958424 271.793 0.952134 257.084 0.802709
186.787 0.935279 150.123 0.957127 272.008 0.973501 257.105 0.804047
186.935 0.93924 150.261 0.955377 272.091 0.980137 257.16 0.807536
187.798 0.960031 150.514 0.952085 272.174 0.985843 257.195 0.809747
188.055 0.965436 150.878 0.94716 272.192 0.986954 257.962 0.855948
188.191 0.968146 150.945 0.94623 272.244 0.989918 258.281 0.873755
188.824 0.979359 151.114 0.943849 272.334 0.994157 258.853 0.903306
189.286 0.986054 151.858 0.932819 272.436 0.99758 260.569 0.97035
189.541 0.989200 151.88 0.932479 272.505 0.999055 262.113 0.998182
189.879 0.992759 152.03 0.930143 272.55 0.999650 262.316 0.999352
190.476 0.997324 152.054 0.929766 272.585 0.999913 263.41 0.995489
190.972 0.999427 152.285 0.926091 272.62 1.000000 263.546 0.993816
191.225 0.999905 152.361 0.924865 272.622 1.000000 264.463 0.975815
191.621 0.999845 152.700 0.919284 272.661 0.999878 265.164 0.954471
191.98 0.998938 153.190 0.910914 272.674 0.999789 265.328 0.948579
192.107 0.998424 153.280 0.909338 272.688 0.999666 265.613 0.937563
192.721 0.994516 153.611 0.903443 272.751 0.998765 265.975 0.922204
193.284 0.988882 154.426 0.888274 272.862 0.995799 266.02 0.920192
193.773 0.982424 154.563 0.885635 273.012 0.989023 266.056 0.918566
194.232 0.975065 155.086 0.875339 273.081 0.984852 266.28 0.908132
194.249 0.974769 155.525 0.866429 273.126 0.98178 266.528 0.895964
194.496 0.970274 155.725 0.862291 273.203 0.975888 266.674 0.888511
194.766 0.964961 156.191 0.852468 273.23 0.973634 266.718 0.886225
195.681 0.943947 156.244 0.851335 273.436 0.95332 266.864 0.878501
195.731 0.942669 156.481 0.846229 273.553 0.93942 267.009 0.870634
196.374 0.925087 157.055 0.833608 273.555 0.93917 267.202 0.85987
196.499 0.92143 157.27 0.828791 273.708 0.918535 267.208 0.85953
196.972 0.906911 157.427 0.825244 273.789 0.906563 267.477 0.843982
197.198 0.899608 158.364 0.803578 273.972 0.877042 267.671 0.832406
197.208 0.89928 158.374 0.803342 274.011 0.870334 267.809 0.823997
197.808 0.878777 159.243 0.782542 274.034 0.866312 268.116 0.804804
198.193 0.864836 159.271 0.781861 274.328 0.811085 268.184 0.800467
198.381 0.857818 159.287 0.781472 274.336 0.809493 268.22 0.798159
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199.358 0.819316 159.634 0.772985 274.371 0.802474 268.556 0.776239
200.116 0.787375 159.655 0.772468 274.515 0.772798 268.591 0.773918
200.28 0.780258 159.736 0.770473 274.671 0.739408 268.885 0.754173
200.425 0.77391 160.185 0.759328 274.744 0.723412 269.006 0.745924
201.352 0.732239 160.878