Multivariate interpolation of large sets of scattered data
ACM Transactions on Mathematical Software (TOMS)
Efficient formulation of a bivariate nonic C2-hermite polynomial on triangles
ACM Transactions on Mathematical Software (TOMS)
Algorithm 684: C1- and C2-interplation on triangles with quintic and nonic bivariate polynomials
ACM Transactions on Mathematical Software (TOMS)
Algorithm 751: TRIPACK: a constrained two-dimensional Delaunay triangulation package
ACM Transactions on Mathematical Software (TOMS)
Algorithm 752: SRFPACK: software for scattered data fitting with a constrained surface under tension
ACM Transactions on Mathematical Software (TOMS)
Algorithm 761: Scattered-data surface fitting that has the accuracy of a cubic polynomial
ACM Transactions on Mathematical Software (TOMS)
ACM Transactions on Mathematical Software (TOMS)
Algorithm 790: CSHEP2D: cubic Shepard method for bivariate interpolation of scattered data
ACM Transactions on Mathematical Software (TOMS)
Algorithm 791: TSHEP2D: cosine series Shepard method for bivariate interpolation of scattered data
ACM Transactions on Mathematical Software (TOMS)
ACM Transactions on Mathematical Software (TOMS)
ACM Transactions on Mathematical Software (TOMS)
Algorithm 660: QSHEP2D: Quadratic Shepard Method for Bivariate Interpolation of Scattered Data
ACM Transactions on Mathematical Software (TOMS)
Data Structures for Range Searching
ACM Computing Surveys (CSUR)
A two-dimensional interpolation function for irregularly-spaced data
ACM '68 Proceedings of the 1968 23rd ACM national conference
ACM Transactions on Mathematical Software (TOMS)
Algorithm 790: CSHEP2D: cubic Shepard method for bivariate interpolation of scattered data
ACM Transactions on Mathematical Software (TOMS)
Algorithm 791: TSHEP2D: cosine series Shepard method for bivariate interpolation of scattered data
ACM Transactions on Mathematical Software (TOMS)
Radial basis functions for the multivariate interpolation of large scattered data sets
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Journal of Computational and Applied Mathematics
SHEPPACK: a Fortran 95 package for interpolation using the modified Shepard algorithm
Proceedings of the 44th annual Southeast regional conference
Local hybrid approximation for scattered data fitting with bivariate splines
Computer Aided Geometric Design
Bivariate Lagrange interpolation at the Padua points: Computational aspects
Journal of Computational and Applied Mathematics
On the construction of local quadratic spline quasi-interpolants on bounded rectangular domains
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
On the bivariate Shepard-Lidstone operators
Journal of Computational and Applied Mathematics
Surface interpolation by adaptive neuro-fuzzy inference system based local ordinary kriging
ACCV'06 Proceedings of the 7th Asian conference on Computer Vision - Volume Part I
Multivariate polynomial interpolation and meshfree differentiation via undetermined coefficients
Journal of Computational and Applied Mathematics
Enhancing the approximation order of local Shepard operators by Hermite polynomials
Computers & Mathematics with Applications
A meshless interpolation algorithm using a cell-based searching procedure
Computers & Mathematics with Applications
Complementary Lidstone interpolation on scattered data sets
Numerical Algorithms
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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 nodes 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 funciton; and TSTFN2 returns a value, first partials, and second partial derivatives of one of the test functions.