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

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

中国物理B ›› 2014, Vol. 23 ›› Issue (2): 28702-028702.doi: 10.1088/1674-1056/23/2/028702

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

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

李淑玲, 李小林

College of Mathematics Science, Chongqing Normal University, Chongqing 400047, China

收稿日期:2013-05-09 修回日期:2013-07-13 出版日期:2013-12-12 发布日期:2013-12-12
基金资助:
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).

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

Li Shu-Ling (李淑玲), Li Xiao-Lin (李小林)

College of Mathematics Science, Chongqing Normal University, Chongqing 400047, China

Received:2013-05-09 Revised:2013-07-13 Online:2013-12-12 Published:2013-12-12
Contact: Li Shu-Ling E-mail:shuling1124@163.com
About author:87.57.nm
Supported by:
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).

摘要/Abstract

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.

关键词: radial basis functions, evolution equations, image segmentation, re-initialization

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.

Key words: radial basis functions, evolution equations, image segmentation, re-initialization

中图分类号: (Segmentation)

87.57.nm

李淑玲, 李小林. Application of radial basis functions to evolution equations arising in image segmentation[J]. 中国物理B, 2014, 23(2): 28702-028702.

Li Shu-Ling (李淑玲), Li Xiao-Lin (李小林). Application of radial basis functions to evolution equations arising in image segmentation[J]. Chin. Phys. B, 2014, 23(2): 28702-028702.

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

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

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