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Many contour segmentation methods search for a decomposition into curves of a same family (as, e.g., the polygonal approximation presented in [1]). However, the contours of real objects often are constituted by curves of different families. In this paper an entropic criterion is presented for the decomposition of a given contour using curves of different families. The entropic criterion accounts both for the information cost associated to the use of complex curves and the uncertainty cost associated to the larger curve fitting error deriving from the use of simple curves. Experimental results on real images are reported to show the application of the criterion to two different curve families, namely the lienar segments and the circular arcs.

Decomposing contours into curves of different families