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

Giampietro Allasia, Roberto Cavoretto and Alessandra De Rossi

Mathematics and Computers in Simulation (MATCOM), 2014, vol. 106, issue C, 1-25

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.

Keywords: Nonrigid image registration; Scattered data interpolation; Modified Shepard's formula; Wendland's functions; Lobachevsky splines (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:106:y:2014:i:c:p:1-25

DOI: 10.1016/j.matcom.2014.06.002

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