Multivariate interpolation of large sets of scattered data
ACM Transactions on Mathematical Software (TOMS)
Algorithm 792: accuracy test of ACM algorithms for interpolation of scattered data in the plane
ACM Transactions on Mathematical Software (TOMS)
Algorithm 660: QSHEP2D: Quadratic Shepard Method for Bivariate Interpolation of Scattered Data
ACM Transactions on Mathematical Software (TOMS)
Algorithm 792: accuracy test of ACM algorithms for interpolation of scattered data in the plane
ACM Transactions on Mathematical Software (TOMS)
SHEPPACK: a Fortran 95 package for interpolation using the modified Shepard algorithm
Proceedings of the 44th annual Southeast regional conference
Algorithm 905: SHEPPACK: Modified Shepard Algorithm for Interpolation of Scattered Multivariate Data
ACM Transactions on Mathematical Software (TOMS)
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We describe a new algorithm for scattered data interpolation. It is based on a modified Shepard method similar to that of Algorithm 660 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 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.