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Noisy image segmentation based on nonlinear diffusion equation model
Authors:Bo Chen  Yan LiJin-lin Cai
Institution:College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, China
Abstract:This paper addresses the segmentation problem in noisy image based on nonlinear diffusion equation model and proposes a new adaptive segmentation model based on gray-level image segmentation model. This model also can be extended to the vector value image segmentation. By virtue of the prior information of regions and boundary of image, a framework is established to construct different segmentation models using different probability density functions. A segmentation model exploiting Gauss probability density function is given in this paper. An efficient and unconditional stable algorithm based on locally one-dimensional (LOD) scheme is developed and it is used to segment the gray image and the vector values image. Comparing with existing classical models, the proposed approach gives the best performance.
Keywords:Curve evolution  Variation calculus technique  Level set  Locally one-dimensional  Active contour model  Nonlinear diffusion equations
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