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

[1] Bookstein F L. Principal warps: Thin-plate splines and thedecomposition of deformations[J].IEEE Trans. on. PatternAnalysis and Machine Intelligence.1989, 11(6):567-585 [2] Arad N and Reisfeld D. Image warping using few anchorpoints and radial functions[J].Computer Graphics Forum.1995,14(1):35-46 [3] Fornefett M, Rohr K, and Stiehl H S. Radial basis functionswith compact support for elastic registration of medicalimages[J].Image Vision Comput.2001, 19:87-96 [4] Fornefett M, Rohr K, and Stiehl H S. Elastic registration ofmedical images using radial basis functions with compactsupport. CVPR99, Colorada, 1999: 402-407. [5] Lie Wen-Nung and Chuang Cheng-Hung. Contour-basedimage registration with local deformations. OpticalEngineering, 2003, 42(5): 1405-1416. [6] Donato1 G and Belongie S. Approximate thin plate splinemappings. ECCV, Copenhagen, 2002: 531-542. [7] Wendland H. Piecewise polynomial, positive definite andcompactly supported radial functions of minimal degree[J].Adv.in Comp. Math.1995, 4:389-396 [8] Buhmann M D. A new class of radial basis functions withcompact support[J].Math. Comput.2000, 70:307-318 [9] Rohr K, Stiehl H S, and Sprengel R, et al.. Landmark-basedelastic registration using approximating thin-plate splines[J].IEEE Trans. on Med. Imaging.2001, 20(6):526-534 [10] Li J, Yang X, and Yu J P. Local warp algorithm in imageelastic registration. FLCI2005, Shenzhen, 2005: 693-698.