Choosing compact support of radial basis function based on landmarks space distribution

Xuan Yang; Jihong Pei; Zhixiong Zhang

doi:10.1117/12.748319

14 November 2007 Choosing compact support of radial basis function based on landmarks space distribution

Xuan Yang, Jihong Pei, Zhixiong Zhang

Proceedings Volume 6789, MIPPR 2007: Medical Imaging, Parallel Processing of Images, and Optimization Techniques; 67890I (2007) https://doi.org/10.1117/12.748319
Event: International Symposium on Multispectral Image Processing and Pattern Recognition, 2007, Wuhan, China

Abstract

In image local elastic transformation, compact support radial basis functions are used to implement image elastic deformation. The elastic deformation area is related to the support of the radial basis function. However, how to choose the support based on space distribution of landmarks still is an unresolved problem. In this paper, the relation between the support and three landmarks space locations is analyzed using simple triangle structure for Wendland radial basis function. Moreover, for landmarks set, Delaunay triangle is constructed to obtain the support of each triangle, and the optimal support of radial basis function is chosen as the maximum. Experiments of artificial images and medial images show the feasibility of our conclusions.

Citation Download Citation

Xuan Yang, Jihong Pei, and Zhixiong Zhang "Choosing compact support of radial basis function based on landmarks space distribution", Proc. SPIE 6789, MIPPR 2007: Medical Imaging, Parallel Processing of Images, and Optimization Techniques, 67890I (14 November 2007); https://doi.org/10.1117/12.748319

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