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

doi:10.1088/1674-1056/23/2/028702

Abstract 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.

Keywords: radial basis functions evolution equations image segmentation re-initialization

Received: 09 May 2013
Revised: 13 July 2013
Accepted manuscript online:

PACS:

87.57.nm

(Segmentation)

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

Corresponding Authors: Li Shu-Ling
E-mail: shuling1124@163.com

About author: 87.57.nm

Cite this article:

Li Shu-Ling (李淑玲), Li Xiao-Lin (李小林) Application of radial basis functions to evolution equations arising in image segmentation 2014 Chin. Phys. B 23 028702

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