Performance Analysis of a Compact Support Radial Basis Function Based on Thin-Plate Splines
نویسنده
چکیده
In landmark-based registration, radial basis function-based transformation play an important role. The compact support radial basis function based on thin-plate splines (CSTPS) is an effective function which has been used to perform interpolation in elastic registration of medical images. In this paper, the positive definite property of CSTPS is theoretically proved. Thus, the solvability of the equations determining the closed-form coefficients for the transformation functions is guaranteed. Next, the similarity between CSTPS with large support and TPS is proved based on a simple point-matching model. This behavior is advantageous for providing overall smooth deformation. Moreover, experiments involving transformations on random point sets and medical images demonstrated that the registration accuracy of CSTPS is satisfactory and stable for both local and global deformations.
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