Feature Extraction from the Turning Angle Function for the Classification of Contours of Br.pdf
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Feature Extraction from the Turning Angle Function for the Classification of Contours of Br
Feature Extraction from the Turning Angle Function
for the Classification of Contours of Breast Tumors
Rangaraj M. Rangayyan, Denise Guliato
?
, Juliano Daloia de Carvalho, and Se?rgio Anchieta Santiago
Abstract— Malignant breast tumors and benign masses ap-
pear in mammograms with different shape characteristics:
the former usually have rough, spiculated, or microlobulated
contours, whereas the latter commonly have smooth, round,
oval, or macrolobulated contours. Features that characterize
shape roughness and complexity can assist in distinguishing
between malignant tumors and benign masses. Signatures of
contours may be used to analyze their shapes. We propose to
use the turning angle function of contours of breast masses
to derive features that capture the characteristics of spicules
and shape roughness as described above. We propose methods
to derive an index of spiculation (SITA), index of convexity
(CITA) and a measure of fractal dimension (FDTA) from the
turning angle function. The methods were tested with a set of
111 contours of 65 benign masses and 46 malignant tumors.
Classification accuracies of 0.92, 0.93, and 0.91, in terms of the
area under the receiver operating characteristics curve, were
obtained with SITA, CITA, and FDTA, respectively.
I. ANALYSIS OF CONTOURS AND SIGNATURES
A. Shape analysis of breast tumors
Breast tumors and masses appear in mammograms with
different shape characteristics: malignant tumors usually
have rough, spiculated, or microlobulated contours, whereas
benign masses commonly have smooth, round, oval, or
macrolobulated contours [1], [2]. Measures that can quantita-
tively represent shape roughness and complexity can assist in
the classification of malignant tumors and benign masses [3],
[4]. Objective features of shape complexity, such as compact-
ness (C), fractional concavity (Fcc), spiculation index (SI),
a Fourier-descriptor-based factor (FF ), fractal dimension
(FD), moments, chord-length statistics, and wavelet trans-
fo
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