关键词: 图像分割, 径向基函数, 偏微分方程, 发展方程, 水平集

Abstract: A numerical algorithm based on globally supported and positive definite radial basis functions is developed in this paper to solve evolution equations which arise in image segmentation using partial differential equation based level set methods. In this algorithm, radial basis functions are used to interpolate level set functions with a high level of precision and smoothness, and then the nonlinear evolution equation is cast into ordinary differential equations and Euler’s scheme is used. Compared with conventional level set methods, this algorithm is free from the initial contour, and completely eliminates the need of the complex and costly re-initialization procedure. Experimental results indicate that the presented algorithm is free of re-initialization, and can segment images quickly even without any initial contour.

Key words: image segmentation, radial basis function, partial differential equation, evolution equation, level set