A marching method for the triangulation of surfaces

被引：102
|
作者：
Hartmann, E [1 ]
机构：
[1] Tech Univ Darmstadt, Dept Math, D-64289 Darmstadt, Germany
来源：
VISUAL COMPUTER | 1998年 / 14卷 / 03期
关键词：
triangulation; marching method; numerical implicitization; parametric surface; implicit surface; offset surface; blend surface;
D O I：
10.1007/s003710050126
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
All surfaces that can be described by collections of equations, especially the parametric ones, can be treated uniformly as implicit surfaces. The idea of numerical implicitization makes this possible. We introduce a marching method for the triangulation of implicit surfaces. The method produces coherent nets of triangles, even for sets of intersecting surface patches.
引用
收藏
页码：95 / 108
页数：14
相关论文
共 50 条
  • [41] Real-time triangulation of molecular surfaces
    Ryu, Joonghyun
    Park, Rhohun
    Seo, Jeongyeon
    Kim, Chongmin
    Lee, Hyun Chan
    Kim, Deok-Soo
    [J]. COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2007, PT 1, PROCEEDINGS, 2007, 4705 : 55 - +
  • [42] Triangulation of p-Order Parametric Surfaces
    D. Nordsletten
    N. P. Smith
    [J]. Journal of Scientific Computing, 2008, 34 : 308 - 335
  • [43] Modeling curved surfaces using locally conformal order-marching time-domain method
    Shao, Wei
    Wang, Bing-Zhong
    Li, Hua
    [J]. INTERNATIONAL JOURNAL OF INFRARED AND MILLIMETER WAVES, 2007, 28 (11): : 1033 - 1038
  • [44] Octree-based decimation of marching cubes surfaces
    Shekhar, R
    Fayyad, E
    Yagel, R
    Cornhill, JF
    [J]. VISUALIZATION '96, PROCEEDINGS, 1996, : 335 - +
  • [45] Modeling Curved Surfaces Using Locally Conformal Order-Marching Time-Domain Method
    Wei Shao
    Bing-Zhong Wang
    Hua Li
    [J]. International Journal of Infrared and Millimeter Waves, 2007, 28 : 1033 - 1038
  • [46] Comparison of marching-on-in-time method with marching-on-in-degree method for the TD-EFIE solver
    Ji, Z
    Sarkar, TK
    Jung, BH
    Salazar-Palma, M
    Yuan, MT
    [J]. 2005 IEEE/ACES International Conference on Wireless Communications and Applied Computational Electromagnetics, 2005, : 297 - 300
  • [47] A new method for quadtree triangulation
    Samet, Refik
    Ozsavas, Emrah
    [J]. PROCEEDINGS OF THE 9TH WSEAS INTERNATIONAL CONFERENCE ON AUTOMATIC CONTROL, MODELING & SIMULATION, 2007, : 233 - +
  • [48] Modified method of laser triangulation
    Adamov, A. A.
    Baranov, M. S.
    Khramov, V. N.
    Abdrakhmanov, V. L.
    Golubev, A. V.
    Chechetkin, I. A.
    [J]. INTERNATIONAL CONFERENCE PHYSICA.SPB/2018, 2018, 1135
  • [49] Research on precision of Marching Cubes method
    Yang, Xingqiang
    Zhang, Caiming
    [J]. Journal of Information and Computational Science, 2006, 3 (03): : 595 - 604
  • [50] Finding minimum energy reaction paths on ab initio potential energy surfaces using the fast marching method
    Liu, Yuli
    Ayers, Paul W.
    [J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 2011, 49 (07) : 1291 - 1301
12345