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Local interpolation schemes for landmark-based image registration: a comparison - MaRDI portal

Local interpolation schemes for landmark-based image registration: a comparison

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Publication:6249999

DOI10.1016/J.MATCOM.2014.06.002arXiv1403.5275MaRDI QIDQ6249999

Roberto Cavoretto, Alessandra De Rossi, Giampietro Allasia

Publication date: 20 March 2014

Abstract: In this paper we focus, from a mathematical point of view, on properties and performances of some local interpolation schemes for landmark-based image registration. Precisely, we consider modified Shepard's interpolants, Wendland's functions, and Lobachevsky splines. They are quite unlike each other, but all of them are compactly supported and enjoy interesting theoretical and computational properties. In particular, we point out some unusual forms of the considered functions. Finally, detailed numerical comparisons are given, considering also Gaussians and thin plate splines, which are really globally supported but widely used in applications.












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