A general-purpose Green's function-based interpolator

  • Authors:

  • Paul Wessel

  • Affiliations:

  • Department of Geology and Geophysics, School of Ocean and Earth Science and Technology, University of Hawaii at Manoa, 1680 East-West Road, Honolulu HI 96822, USA

  • Venue:
  • Computers & Geosciences
  • Year:
  • 2009

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Abstract

A useful approach to data interpolation is to determine the Green's function for the interpolation operator and construct the interpolation from the super-positioning of suitably scaled Green's functions located at the data constraints. Such Green's functions have been determined for Cartesian splines in 1-, 2-, and 3-D, including regularized splines and splines in tension. Furthermore, these techniques have also been extended to spherical surfaces. I present a new command-line tool, greenspline, which acts as a general-purpose interpolator for both Cartesian and spherical surface data. The program runs on all platforms and is compatible with the Generic Mapping Tools.