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

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 lev...

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Bibliographic Details
Published in:Chinese physics B 2014-02, Vol.23 (2), p.28702-1-028702-6
Main Authors: Li, Shu-Ling, Li, Xiao-Lin
Format: Article
Language:English
Subjects:
Differential equations
Evolution
Finite difference method
Image segmentation
Interpolation
Mathematical analysis
Mathematical models
Radial basis function
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Summary: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.
ISSN:1674-1056
1741-4199
DOI:10.1088/1674-1056/23/2/028702