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By Louis Comtet

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2. 3 using the method proposed by Rangayyan et al. [14]: (a) polygonal model of the ellipse; (b) polygonal model of the rectangle; and (c) polygonal model of the nonconvex shape. 18 2. 3 using the method proposed by Pavlidis and Horowitz [27] with Emax = 50: (a) polygonal model of the ellipse; (b) polygonal model of the rectangle; and (c) polygonal model of the nonconvex shape. 3. 1: Results obtained with the polygonal modeling method proposed by Pavlidis and Horowitz [27] with Emax = 50 and Emax = 70.

The vertices of the initial polygonal model are placed at the points of inflexion. Then, the maximal arc-to-chord distance from each side of the polygonal model to the corresponding segmented curved part of the original contour is computed. 2. RULE-BASED POLYGONAL MODELING OF CONTOURS 11 contour at the point of maximal distance, thereby increasing the order of the model by one. The procedure is iterated subject to predefined stopping criteria to minimize the error between the perimeter of the original contour and the perimeter of the polygonal model.

A. Santiago, “Polygonal approximation of contours based on the turning angle function”, Journal of Electronic Imaging, 17(2), 023016:1-14, April – June 2008. ©SPIE and IS&T. 24 2. 9: (a) The manually drawn contour of a benign breast mass with a relatively smooth and convex contour with N C = 916 and resolution of 50 μm per pixel. (b) The TAF of the contour. Reproduced with permission from D. D. M. A. Santiago “Feature extraction from a signature based on the turning angle function for the classification of breast tumors”, Journal of Digital Imaging, 21(2):129-144, 2008.

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