Polygonal approximation of contours based on the turning angle function

Rangaraj Mandayam Rangayyan; Denise Guliato; Juliano D. de Carvalho; Sergio A. Santiago

doi:10.1117/1.2920413

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1 April 2008 Polygonal approximation of contours based on the turning angle function

Rangaraj Mandayam Rangayyan, Denise Guliato, Juliano D. de Carvalho, Sergio A. Santiago

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J. of Electronic Imaging, 17(2), 023016 (2008). https://doi.org/10.1117/1.2920413

Abstract

The turning angle function has been used as a signatureto represent the shape of a given contour with the aim of analysis ofshape and content-based image retrieval. We propose a methodthat uses the turning angle function to derive a polygonal model ofthe given contour in such a manner as to preserve the importantdetails in the contour. The preservation of diagnostically significantfeatures present in the contours of breast masses in mammogramsare important to discriminate between benign masses and malignanttumors. To evaluate the practical utility of the proposed polygonalmodeling method in terms of the efficiency in the classification ofbreast masses, we derive an index of spiculation SI_PMTF and a measureof fractional concavity F_cc from the models obtained and comparethe results with those provided by two methods proposed inprevious related works. The features SI_PMTF and F_cc were testedwith a set of 111 contours, of which 65 are related to benign massesand 46 are related to malignant tumors. High classification accuraciesof 0.93 with SI_PMTF and 0.91 with F_cc were obtained, in terms ofthe area under the receiver operating characteristics curve, with adata compression of 0.067 on the average.

©(2008) Society of Photo-Optical Instrumentation Engineers (SPIE)

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Rangaraj Mandayam Rangayyan, Denise Guliato, Juliano D. de Carvalho, and Sergio A. Santiago "Polygonal approximation of contours based on the turning angle function," Journal of Electronic Imaging 17(2), 023016 (1 April 2008). https://doi.org/10.1117/1.2920413

Published: 1 April 2008

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