Algorithm 791: TSHEP2D: Cosine series Shephard method for bivariate interpolation of scattered data We describe a new algorithm for scattered data interpolation. It is based on a modified Shepard method similar to that of R. Renka’s Algorithm 660 [ibid. 14, No. 2, 149-150 (1988)] but uses 10-parameter cosine series nodal functions in place of quadratic polynomials. Also, the interpolant has continuous second partial derivatives. An accompanying survey article of the authors [ibid. 25, No. 1, 78-94 (1999; reviewed below)] presents test results that show the method to be more accurate than polynomial-based methods in terms of reproducing test functions with large variations and steep gradients
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References in zbMATH (referenced in 2 articles , 1 standard article )
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- Thacker, William I.; Zhang, Jingwei; Watson, Layne T.; Birch, Jeffrey B.; Iyer, Manjula A.; Berry, Michael W.: Algorithm 905: SHEPPACK: modified Shepard algorithm for interpolation of scattered multivariate data (2010)
- Renka, Robert J.; Brown, Ron: Algorithm 791: TSHEP2D: Cosine series Shephard method for bivariate interpolation of scattered data (1999)