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

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  • Allasia, Giampietro
  • Cavoretto, Roberto
  • De Rossi, Alessandra

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.

Suggested Citation

  • Allasia, Giampietro & Cavoretto, Roberto & De Rossi, Alessandra, 2014. "Local interpolation schemes for landmark-based image registration: A comparison," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 106(C), pages 1-25.
    • Handle: RePEc:eee:matcom:v:106:y:2014:i:c:p:1-25
    DOI: 10.1016/j.matcom.2014.06.002
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    References listed on IDEAS

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    1. Quatember, Bernhard & Mayr, Martin & Recheis, Wolfgang & Demertzis, Stefanos & Allasia, Giampietro & De Rossi, Alessandra & Cavoretto, Roberto & Venturino, Ezio, 2010. "Geometric modeling and motion analysis of the epicardial surface of the heart," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(3), pages 608-622.
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    Cited by:

    1. Cavoretto, Roberto & De Rossi, Alessandra & Qiao, Hanli, 2018. "Topology analysis of global and local RBF transformations for image registration," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 147(C), pages 52-72.

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    1. Cavoretto, Roberto & De Rossi, Alessandra & Qiao, Hanli, 2018. "Topology analysis of global and local RBF transformations for image registration," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 147(C), pages 52-72.

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