Compact Support Analysis of Radial Basis Function in Image Local Elastic Transformation: Compact Support Analysis of Radial Basis Function in Image Local Elastic Transformation

In image local elastic transformation, compact support radial basis functions are used to implement local elastic deformation transformation. The elastic deformation area is related to the support of radial basis function. However, how to choose the support size of the radial basis function based on space distribution of landmarks still is an unresolved doubt. In this paper, choosing the support of Wendland basis functions based on the space distribution of two landmarks is analyzed in detail. For the landmarks set, Delaunay triangle is constructed to obtain the optimal distance between landmarks, and support is chosen correspondingly. The principle of choosing the support size of radial basis functions in image local elastic transformation is given also. Experiments of the artificial images and medial images show the feasibility of this conclusion.