Algorithm 792

Algorithm 792: Accuracy tests of ACM algorithms for interpolation of scattered data in the plane We present results of accuracy tests on scattered-data fitting methods that have been published as ACM algorithms. The algorithms include seven triangulation-based methods and three modified Shepard methods, two of which are new algorithms. Our purpose is twofold: to guide potential users in the selection of an appropriate algorithm and to provide a test suite for assessing the accuracy of new methods (or existing methods that are not included in this survey). Our test suite consists of five sets of nodes, with node counts ranging from 25 to 100, and 10 test functions. These are made available in the form of three Fortran subroutines: TESTDT returns one of the node sets; TSTFN1 returns a value and, optionally, a gradient value, of one of the test functions; and TSTFN2 returns a value, first partials, and second partial derivatives of one of the test functions. (Source: http://dl.acm.org/)

This software is also peer reviewed by journal TOMS.


References in zbMATH (referenced in 19 articles , 1 standard article )

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  1. Erb, Wolfgang; Kaethner, Christian; Ahlborg, Mandy; Buzug, Thorsten M.: Bivariate Lagrange interpolation at the node points of non-degenerate Lissajous curves (2016)
  2. Bozzini, Mira; Rossini, Milvia: Properties of generators of quasi-interpolation operators of high approximation orders in spaces of polyharmonic splines (2014)
  3. Cavoretto, Roberto; De Rossi, Alessandra: A meshless interpolation algorithm using a cell-based searching procedure (2014)
  4. Costabile, F.A.; Dell’Accio, F.; Di Tommaso, F.: Complementary Lidstone interpolation on scattered data sets (2013)
  5. Caira, R.; Dell’Accio, F.; Di Tommaso, F.: On the bivariate Shepard-Lidstone operators (2012)
  6. Costabile, F.A.; Dell’Accio, F.; Di Tommaso, F.: Enhancing the approximation order of local Shepard operators by Hermite polynomials (2012)
  7. Allasia, G.; Besenghi, R.; Cavoretto, R.; De Rossi, A.: Scattered and track data interpolation using an efficient strip searching procedure (2011)
  8. Bozzini, Mira; Dyn, Nira; Rossini, Milvia: Construction of generators of quasi-interpolation operators of high approximation orders in spaces of polyharmonic splines (2011)
  9. Caliari, Marco; de Marchi, Stefano; Vianello, Marco: Bivariate Lagrange interpolation at the Padua points: Computational aspects (2008)
  10. Dagnino, C.; Lamberti, Paola: On the construction of local quadratic spline quasi-interpolants on bounded rectangular domains (2008)
  11. Rabut, Christophe; Rossini, Milvia: Polyharmonic multiresolution analysis: An overview and some new results (2008)
  12. Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco: Bivariate interpolation at Xu points: results, extensions and applications (2006)
  13. Caliari, Marco; Vianello, Marco; De Marchi, Stefano; Montagna, Roberto: Hyper2d: A numerical code for hyperinterpolation on rectangles (2006)
  14. Davydov, Oleg; Morandi, Rossana; Sestini, Alessandra: Local hybrid approximation for scattered data fitting with bivariate splines (2006)
  15. Lazzaro, Damiana; Montefusco, Laura B.: Radial basis functions for the multivariate interpolation of large scattered data sets (2002)
  16. Renka, Robert J.: Algorithm 790: CSHEP2D: Cubic Shepard method for bivariate interpolation of scattered data (1999)
  17. Renka, Robert J.: Remark on algorithm 752 (1999)
  18. Renka, Robert J.; Brown, Ron: Algorithm 791: TSHEP2D: Cosine series Shephard method for bivariate interpolation of scattered data (1999)
  19. Renka, Robert J.; Brown, Ron: Algorithm 792: Accuracy tests of ACM algorithms for interpolation of scattered data in the plane (1999)