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D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectan gle DEQS F-cell disk LHKF B-cell rectan gle DEQS B-cell polyli ne DEQS F-cell circle LHKF T-cell arc KFL T-cell segmen t KL T-cell half- disk KFL T-cell point K T-cell point L F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF F-cell disk LHKF F-cell disk LHKF TEMPLATE: Boundary relations
33

D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

Mar 26, 2015

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Lauren Torres
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Page 1: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

D

E

S

Q

LF

KH

D

E

S

Q

LF

KH

F-cell

diskLHKF

B-cell

rectangleDEQS

F-cell

diskLHKF

B-cell

rectangleDEQS

B-cell

polylineDEQS

F-cell

circleLHKF

T-cell

arcKFL

T-cell

segmentKL

T-cell

half-diskKFL

T-cell

pointK

T-cell

pointL

F-cell

diskLHKF

B-cell

rectangleDEQS

B-cell

polylineDEQS

F-cell

circleLHKF

F-cell

diskLHKF

F-cell

diskLHKF

TEMPLATE:

Boundary relations

Page 2: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

D

E

S

Q

LF H

F-cell

diskLHKF

B-cell

rectangleDEQS

B-cell

polylineDEQS

F-cell

circleLHKF

T-cell

pointF

Boundary relations

K

0D cells

1D cells

2D cells

Page 3: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

D

E

S

Q

LF H

F-cell

diskLHKF

F-cell

circleLHKF

Containment relations

K

1D cells

2D cells

B-cell

rectangleDEQS

B-cell

polylineDEQS

Page 4: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

D

E

S

Q

LF

KH

F-cell

diskLHKF

F-cell

circleLHKF

B-cell

rectangleDEQS

B-cell

polylineDEQS

F-cell

diskLHKF

B-cell

rectangleDEQS

M

O

P-cell

segmentOM

0D cells

1D cells

2D cells

P-cell

segmentOM

P-cell

pointO

P-cell

pointM

Page 5: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

LF

KH F-cell

diskLHKF

P-cell

segmentOM

M

O

Dependency relations

F-cell

circleLHKF

Page 6: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

DS

EQ

F-cell

diskLHKF

F-cell

circleLHKF

B-cell

rectangleDEQS

B-cell

polylineDEQS

LF

KH

M

O

0D cells

1D cells

2D cells

P-cell

segmentOM

PN

T-cell

segmentON

T-cell

segmentPN

T-cell

SegmentMP

P-cell

pointM

T-cell

pointN

P-cell

pointO

T-cell

pointP

Page 7: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

DS

EQ

F-cell

diskLHKF

F-cell

circleLHKF

B-cell

rectangleDEQS

B-cell

polylineDEQS

LF

KH

M

O0D cells

1D cells

2D cells

P-cell

segmentOM

P-cell

pointO

T-cell

segmentKL

P-cell

pointM

T-cell

pointK

R

T-cell

pointL

T-cell

arcKLF

T-cell

half-diskKLF

Page 8: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

DS

EQ

F-cell

diskLHKF

F-cell

circleLHKF

B-cell

rectangleDEQS

B-cell

polylineDEQS

LF

KH

M

O

0D cells

1D cells

2D cells

P-cell

segmentOM

P-cell

pointO

T-cell

segmentKL

T-cell

segmentRM

T-cell

pointR

P-cell

pointM

T-cell

pointK

R

T-cell

pointL

T-cell

arcKLF

T-cell

half-diskKLF

Page 9: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

DS

EQ

LF

KH

M

O

R

DS

EQ

LF

KH

M

O

R

Page 10: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

LHKFF-cell

D

E

S

Q

LF

K

H

D

E

S

Q

LF

KH

DEQSB-cell

B-cell

rectangleDEQS

B-cell

polylineDEQS

F-cell

circleLHKF

B-cell

rectangleDEQS

F-cell

diskLHKF

F-cell

diskLHKF

F-cell

diskLHKF

Page 11: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

CombinedT-cell

D

E

S

Q

LF

K

H

D

E

S

Q

LF

KH

Page 12: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

G1

G2

G3

G1

G2

G3

D

E

S

Q

LF H

B-cell

gearG2

B-cell

gear bnd.G2

T-cell

pointA

Boundary relations

K

0D cells

1D cells

2D cells

G1

G2

G3

F-cell

gearG3

F-cell

gear bnd.G3

B-cell

gearG1

B-cell

gear bnd.G1

A

Page 13: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

B-cell

gearG2

B-cell

gear bnd.G2

T-cell

pointA

Boundary relations

0D cells

1D cells

2D cells

G1

G2

G3

F-cell

gearG3

F-cell

gear bnd.G3

B-cell

gearG1

B-cell

gear bnd.G1

A

Page 14: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

B-cell

gearG2

B-cell

gear bnd.G2

T-cell

pointA

Boundary relations

0D cells

1D cells

2D cells

G1

G2

G3

F-cell

gearG3

F-cell

gear bnd.G3

B-cell

gearG1

B-cell

gear bnd.G1

A

B

T-cell

pointB

Page 15: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

E

S

Q

F

G

K

H

F-cell

rectangleFGHK

B-cell

rectangleDEQS

B-cell

polylineDEQS

F-cell

polylineFGHK

Boundary relations

1D cells

2D cellsD

Page 16: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

D

E

S

Q

F

G

K

H

F-cell

rectangleFGHK

B-cell

rectangleDEQS

B-cell

polylineDEQS

F-cell

polylineFGHK

T-cell

lineUV

Boundary relations

0D cells

1D cells

2D cells

V

U T-cell

pointV

T-cell

pointU

Page 17: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

D

E

S

Q

F

G

K

H

F-cell

rectangleFGHK

B-cell

rectangleDEQS

B-cell

polylineDEQS

F-cell

polylineFGHK

T-cell

lineUV

Boundary relations

0D cells

1D cells

2D cells

U T-cell

pointV

T-cell

pointU

Page 18: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

D

E

S

Q

F

G

K

H

F-cell

rectangleFGHK

B-cell

rectangleDEQS

B-cell

polylineDEQS

F-cell

polylineFGHK

Boundary relations

0D cells

1D cells

2D cells

U T-cell

pointU

Page 19: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

S1 S2SK…

t1<t<t2 → t>t2

tN-1<t<tN → t>tN

t2<t<t3 → t>t3

ti-1<t<ti → t>ti

Page 20: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

K1 K2KN…

tN-1<t<tN → t>tN

111

111 ddb ttttt 222

iii ddb ttttt

222

111 ddb ttttt

111

jjj ddb ttttt

Nd

Nd

Nb lll

ttttt

Page 21: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

K1

K2

Kj…

111ddb ttttt

222ddb ttttt

222

111 ddb ttttt

111

jjj ddb ttttt

111 Nd

Nd

Nb ttttt

KN

111 jd

jd

jb ttttt

KN-1

Page 22: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

PK1

K1

PK2

K2

t

PKj

Kj

kbt 1

kdt 1

,kbt 2

kdt 1

,kbi

t kdi

t ,kb j

tkd j

t ,kbn

t

K1 K2

t

Kj

1

1bt1

1dt ,2

1bt2

1dt ,1

2btkdi

t ,j

bnt j

dnt

…K1

11T 2

1T 12T

1

2dt ,ibt 1

jnT

T1

K1

T2

K2

t

TN

KN

1bt

1dt , 2

bt2dt ,

ibt

kdt , N

btNdt

1

1bt1

1dt

Page 23: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

K1 K2

t

Kj

1

1bt1

1dt ,2

1bt2

1dt ,1

2btkdi

t ,j

bnt j

dnt

…K1

11T 2

1T 12T

1

2dt ,ibt 1

jnT

t1=0.5 t1=0.5

Local time is 0.5 but referring to different moments within the global timescale

Page 24: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

Cell 1

Cell 1

Parameter2

Parameter1

Cell 2 Cell 3

Cell 3

Parameter2

Parameter1

Pull

Pull

Retrieve valid parameter

Retrieve valid parameter

Dependency Dependency

Cell 4

Parameter2

Parameter1

Pull

Retrieve valid parameter

Cell 4Dependency

Page 25: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

tibt

idt ,

…KjKi

TKi TKj

jbt

jdt

Kit Kjt

Page 26: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

D

E

S

Q

LF

KH

D

E

S

Q

LF

KH

t1K

bt 2Kbt

K1(0)

K1

D

E

S

Q

LF

KH

K2

D

E

S

Q

LF

KH

K3

3Kbt

D

E

S

Q

LF

KH

K3

3Kdt

t

)( 2 tt Kb

)0(

)0( )( 3 tt Kd

Page 27: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

T1

K1

T2

K2

tT3

K3

1bt

1dt , 2

bt2dt ,

3bt

3dt

Page 28: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

LF

KH F-cell

diskLHKF

P-cell

segmentOM

M

O

Dependency relations

F-cell

circleLHKF

Page 29: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

DS

EQ

F-cell

diskLHKF

F-cell

circleLHKF

B-cell

rectangleDEQS

B-cell

polylineDEQS

LF

KH

M

O

0D cells

1D cells

2D cells

P-cell

segmentOM

P-cell

pointM

P-cell

pointO

Page 30: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

DS

EQ

F-cell

diskLHKF

F-cell

circleLHKF

B-cell

rectangleDEQS

B-cell

polylineDEQS

LF

KH

M

O

0D cells

1D cells

2D cells

P-cell

segmentOM

P

T-cell

segmentOP

T-cell

SegmentMP

P-cell

pointM

P-cell

pointO

T-cell

pointP

Page 31: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

DS

N

Q

LF

KH

M

O

0D cells

1D cells

2D cells

P

R

F-cell

diskLHKF

F-cell

circleLHKF

B-cell

rectangleDEQS

B-cell

polylineDEQS

P-cell

segmentOM

T-cell

segmentON

T-cell

segmentPN

T-cell

SegmentMP

P-cell

pointM

T-cell

pointN

P-cell

pointO

T-cell

pointP

E

T-cell

pointR

Page 32: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

Attribute

Attr1

attributes

...

...

B-cell

Cell1

geometry

...

...

T-cell ?

Deform1

attribute

geometry

initial g.

Geometric dependency

Attribute dependency

Page 33: D E S Q L F K H D E S Q L F K H F-cell disk LHKF B-cell rectangle DEQS F-cell disk LHKF B-cell rectangle DEQS B-cell polyline DEQS F-cell circle LHKF T-cell.

Attribute

Attr1

attributes

...

...

B-cell

Cell1

geometry

...

...

T-cell

Deform1

..

geometry

initial g.Geometric dependency

Attribute relation

AttrRel1

Attr1

Cell1