1 Detection Microcalcifications in Mammograms Using Wavelet Reporter : 陳陳陳 Date : 2007/05/22
Jan 07, 2016
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Detection Microcalcifications in Mammograms Using Wavelet
Reporter : 陳宏維Date : 2007/05/22
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Outline
Introduction
Fourier TF. V.S. Wavelet TF.
Two-Dimension Wavelet Transform
Performance
Classifier
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Introduction
(a) Fatty (b) Fatty-glandular (c) Dense-glandular
乳房內部成份 : 脂肪、腺體、結締組織鈣化形成 : 乳汁沉澱或細胞壞死亮度 : 脂肪 < 腺體及結締組織 ≦微鈣化組織
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One-Dimensional Statistics
(a) One-Dimensional Curve
(c) Gaussian Object
(b) ROI
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Fourier TF. V.S. Wavelet TF.
(c) Fourier Coefficient
Discontinuity
(b) Wavelet Coefficient
}2,40|{)sin( tttty
Original Signal:
(a) Original Signal
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Two-Dimension Wavelet Transform
(a) Analysis
(b) Synthesis
22
2
2
2
2
22
2
2
2
2
2
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Wavelet Octave
(a) Wavelet Octaves
(b) Original Image
(c) Original Image
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Performance
True Positive (TP) : 系統將病變組織判斷為病變組織。 True Negative (TN) : 系統將病變組織誤判為正常組織。 False Positive (FP) : 系統將正常組織誤判為病變組織。 False Negative (FN) : 系統將正常組織判斷為正常組織。
診斷 辨識
病變組織 正常組織
病變組織 TP FP
正常組織 FN TN
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Wavelet Function
(a) Original Image
(d) BAUD 4(b) BAUD 4 Filter
(c) BAUD 20 Filter(e) BAUD 20
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Classifier
)1()()(2)()())()(( max
min
max
min
max
min
222 dxxxdxxdxxdxxx xx
xt
tx
xx
)2(0)()(max
min dxxxx
x
x (Gray Level Value)
α(x) β(x)
t xmaxxmin
α(x) : pdf for the breast tissue
β(x) : pdf for the microcalcifications
Renyi’s entropy :
)3(]})(ln[])(ln[max{ 22 max
min dxxdxxArgt x
ttx
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Detection
(a) Original Image (b) Truth Image (c) Detected Microcalcification
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Reference
1. K. Thangavel, M. Karnan, R. Sivakumar, and A. Kaja Mohideen, “Automatic Detection of Microcalcification in Mammograms- A Review,” ICGST, 2006.
2. Giuseppe Boccignone, Angelo Chianese, and Antonio Picariello, “Computer aided detection of microcalcification in digital mammograms,” Computer in Biology and Medicine, 2000.
3. Robin N. Strickland, Senior Member, IEEE, and Hee Π Hahn, “Wavelet Transforms for Detecting Microcalcification in Mammograms,” IEEE Trans. Med. Image, Vol. 15, No. 2, Appil, 1996
4. Ted C. Wang, and Nicolaos B. Karayianmis, “Detection of Microcalcification in Digital Mammograms Using Wavelets,” IEEE Trans. Med. Image, Vol. 17, No. 4, August, 1998
5. 繆紹剛 , ” 數位影像處理 活用 --Matlab”, 全華科技圖書股份有限公司 , 2002