关键词: 变分, 水平集, 参数估计, 噪声分布

Abstract: A general model of two phase image segmentation based on variational level set method is proposed，and the region model is based on the image general probability distribution function.The evolution equation of level set function and the parameters’ estimate of piecewise constant values，Gaussian and Rayleigh distribution are obtained through the variational method.The evolution equation is discreted and solved through the semi-implicit finite difference scheme.Several useful examples are given for images segmentation，and some useful guidelines are summarized for application on the different distribution images；each model that drives curve evolving according to the information of images is analyzed.In addition，constraints of the level set function as signed distance function are enforced in the energy functional to avoid re-initialization.

Key words: variational, level set, parameters estimate, noise distribution