Application of radial basis functions to evolution equations arising in image segmentation  

作　　者：李淑玲 李小林 

机构地区：[1]College of Mathematics Science,Chongqing Normal University

出　　处：《Chinese Physics B》2014年第2期583-588,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No.11101454);the Educational Commission Foundation of Chongqing City,China (Grant No.KJ130626);the Program of Innovation Team Project in University of Chongqing City,China (Grant No.KJTD201308)

摘　　要：In this paper, radial basis functions are used to obtain the solution of evolution equations which appear in variational level set method based image segmentation. In this method, radial basis functions are used to interpolate the implicit level set function of the evolution equation with a high level of accuracy and smoothness. Then, the original initial value problem is discretized into an interpolation problem. Accordingly, the evolution equation is converted into a set of coupled ordinary differential equations, and a smooth evolution can be retained. Compared with finite difference scheme based level set approaches, the complex and costly re-initialization procedure is unnecessary. Numerical examples are also given to show the efficiency of the method.In this paper, radial basis functions are used to obtain the solution of evolution equations which appear in variational level set method based image segmentation. In this method, radial basis functions are used to interpolate the implicit level set function of the evolution equation with a high level of accuracy and smoothness. Then, the original initial value problem is discretized into an interpolation problem. Accordingly, the evolution equation is converted into a set of coupled ordinary differential equations, and a smooth evolution can be retained. Compared with finite difference scheme based level set approaches, the complex and costly re-initialization procedure is unnecessary. Numerical examples are also given to show the efficiency of the method.

关 键 词：radial basis functions evolution equations image segmentation RE-INITIALIZATION 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]