STRIPACK: Delaunay triangulation and Voronoi diagram on the surface of a sphere

被引:53
|
作者
Renka, RJ [1 ]
机构
[1] Univ N Texas, Dept Comp Sci, Denton, TX 76203 USA
来源
关键词
Delaunay triangulation; Dirichlet tessellation; sphere; Thiessen regions; Voronoi diagram;
D O I
10.1145/275323.275329
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
STRIPACK is a Fortran 77 software package that employs an incremental algorithm to construct a Delaunay triangulation and, optionally, a Voronoi diagram of a set of points (nodes) on the surface of the unit sphere. The triangulation covers the convex hull of the nodes, which need not be the entire surface, while the Voronoi diagram covers the entire surface. The package provides a wide range of capabilities including an efficient means of updating the triangulation with nodal additions,or deletions. For N nodes, the storage requirement for the triangulation is 13N integer storage locations in addition to 3N nodal coordinates. Using an off-line algorithm and work space of size 3N, the triangulation can be constructed with time complexity O(NlogN).
引用
收藏
页码:416 / 434
页数:19
相关论文
共 50 条
  • [1] Computation of Voronoi diagram and Delaunay triangulation and the application
    Ding, Yongxiang
    Xia, Juchen
    [J]. Huazhong Ligong Daxue Xuebao/Journal Huazhong (Central China) University of Science and Technology, 1996, 24 (Suppl 1):
  • [2] ON SIMULTANEOUS CONSTRUCTION OF VORONOI DIAGRAM AND DELAUNAY TRIANGULATION BY PHYSARUM POLYCEPHALUM
    Shirakawa, Tomohiro
    Adamatzky, Andrew
    Gunji, Yukio-Pegio
    Miyake, Yoshihiro
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2009, 19 (09): : 3109 - 3117
  • [3] Procedural Playable Cave Systems based on Voronoi Diagram and Delaunay Triangulation
    Santamaria-Ibirika, Aitor
    Cantero, Xabier
    Huerta, Sergio
    Santos, Igor
    Bringas, Pablo G.
    [J]. 2014 INTERNATIONAL CONFERENCE ON CYBERWORLDS (CW), 2014, : 15 - 22
  • [4] Finding the constrained delaunay triangulation and constrained Voronoi diagram of a simple polygon in linear time
    Chin, F
    Wang, CA
    [J]. SIAM JOURNAL ON COMPUTING, 1998, 28 (02) : 472 - 487
  • [5] The Voronoi functional is maximized by the Delaunay triangulation in the plane
    Edelsbrunner, Herbert
    Glazyrin, Alexey
    Musin, Oleg R.
    Nikitenko, Anton
    [J]. COMBINATORICA, 2017, 37 (05) : 887 - 910
  • [6] The Voronoi functional is maximized by the Delaunay triangulation in the plane
    Herbert Edelsbrunner
    Alexey Glazyrin
    Oleg R. Musin
    Anton Nikitenko
    [J]. Combinatorica, 2017, 37 : 887 - 910
  • [7] Using the delaunay triangulation/voronoi diagram to extract building information from raw LIDAR data
    Tse, Rebecca
    Gold, Chris
    Kidner, Dave
    [J]. ISVD 2007: THE 4TH INTERNATIONAL SYMPOSIUM ON VORONOI DIAGRAMS IN SCIENCE AND ENGINEERING 2007, PROCEEDINGS, 2007, : 222 - +
  • [8] Localised sensor direction adjustments with geometric structures of Voronoi diagram and Delaunay triangulation for directional sensor networks
    Sung, Tien-Wen
    Yang, Chu-Sing
    [J]. INTERNATIONAL JOURNAL OF AD HOC AND UBIQUITOUS COMPUTING, 2015, 20 (02) : 91 - 106
  • [9] Micro Expression Recognition Using Delaunay Triangulation and Voronoi Tessellation
    Adyapady, Rashmi R.
    Annappa, B.
    [J]. IETE JOURNAL OF RESEARCH, 2023, 69 (11) : 8019 - 8035
  • [10] Improved initialisation for centroidal Voronoi tessellation and optimal Delaunay triangulation
    Quinn, Jonathan
    Sun, Feng
    Langbein, Frank C.
    Lai, Yu-Kun
    Wang, Wenping
    Martin, Ralph R.
    [J]. COMPUTER-AIDED DESIGN, 2012, 44 (11) : 1062 - 1071