Algorithm 1012: DELAUNAYSPARSE: Interpolation via a Sparse Subset of the Delaunay Triangulation in Medium to High Dimensions

被引：6
|
作者：
Chang, Tyler H. [1 ]
Watson, Layne T. [2 ]
Lux, Thomas C. H. [1 ]
Butt, Ali R. [1 ]
Cameron, Kirk W. [1 ]
Hong, Yili [3 ]
机构：
[1] Virginia Polytech Inst & State Univ, Dept Comp Sci, MC 0106, Blacksburg, VA 24061 USA
[2] Virginia Polytech Inst & State Univ, Dept Comp Sci Math & Aerosp & Ocean Engn, MC 0106, Blacksburg, VA 24061 USA
[3] Virginia Polytech Inst & State Univ, Dept Stat, MC 0439, Blacksburg, VA 24061 USA
来源：
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE | 2020年 / 46卷 / 04期
关键词：
Delaunay triangulation; interpolation; multivariate approximation; high-dimensional data;
D O I：
10.1145/3422818
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
DELAUNAYSPARSE contains both serial and parallel codes written in Fortran 2003 (with OpenMP) for performing medium- to high-dimensional interpolation via the Delaunay triangulation. To accommodate the exponential growth in the size of the Delaunay triangulation in high dimensions, DELAUNAYSPARSE computes only a sparse subset of the complete Delaunay triangulation, as necessary for performing interpolation at the user specified points. This article includes algorithm and implementation details, complexity and sensitivity analyses, usage information, and a brief performance study.
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页数：20
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