Estimate of minimum distance between convex polyhedra based on enclosed ellipsoids

被引:0
|
作者
Shiang, SP [1 ]
Liu, JS [1 ]
Chien, YR [1 ]
机构
[1] Acad Sinica, Inst Informat Sci, Taipei 11529, Taiwan
关键词
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A tight estimate of upper and lower bounds of the distance between convex polyhedra based on the best ellipsoid fit is proposed in the paper Estimated distance is mainly based on enclosed ellipsoids, instead of minimum volume enclosing ellipsoids. We provide an algorithm for computing enclosed ellipsoid of convex polyhedron by the use of its best fit enclosing ellipsoid. By this estimate, the collision-free region could be much larger than and the detection of potential collisions can be more accurate than that of using enclosing ellipsoids. A numerical example is presented to show the tightness of upper and lower distance estimate based on enclosed ellipsoids.
引用
收藏
页码:739 / 744
页数:6
相关论文
共 50 条
  • [1] Minimum distance between the faces of two convex polyhedra: A sufficient condition
    Llanas, B
    De Sevilla, MF
    Feliu, V
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2003, 26 (04) : 361 - 385
  • [2] Minimum Distance Between the Faces of Two Convex Polyhedra: A Sufficient Condition
    B. Llanas
    M. Fernandez De Sevilla
    V. Feliu
    [J]. Journal of Global Optimization, 2003, 26 : 361 - 385
  • [3] Pseudo minimum translational distance between convex polyhedra(Ⅰ)——Definition and properties
    朱向阳
    丁汉
    熊有伦
    [J]. Science China Technological Sciences, 2001, (02) : 216 - 224
  • [4] Pseudo minimum translational distance between convex polyhedra (I)Definition and properties
    Zhu Xiangyang
    Ding Han
    Xiong Youlun
    [J]. Science in China Series E: Technolgical Science, 2001, 44 (2): : 216 - 224
  • [5] An algorithm on collision detection by computing the minimum distance between two convex polyhedra
    Jin, Hanjun
    Wang, Yanlin
    Wang, Xiaorong
    Fu, Jia
    [J]. WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 304 - 304
  • [6] Pseudo minimum translational distance between convex polyhedra(I) - Definition and properties
    Zhu, XY
    Ding, H
    Xiong, YL
    [J]. SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES, 2001, 44 (02): : 216 - U2
  • [7] Algorithm research for computing the minimum distance between two convex polyhedra in collision detection
    Jin, Hanjun
    Li, Zhaohui
    Wang, Yanlin
    Wang, Qiong
    [J]. Wuhan Ligong Daxue Xuebao (Jiaotong Kexue Yu Gongcheng Ban)/Journal of Wuhan University of Technology (Transportation Science and Engineering), 2006, 30 (02): : 300 - 302
  • [8] Computing the minimum distance between two ellipsoids
    Chen, XD
    Yong, JH
    Xiong, XC
    Zheng, GQ
    Sun, JG
    [J]. CAD/ GRAPHICS TECHNOLOGY AND ITS APPLICATIONS, PROCEEDINGS, 2003, : 403 - 404
  • [9] An algorithm for computing the minimum distance between two convex polyhedra in three-dimensional space
    Liu Hui
    Jin Hanjun
    [J]. KAM: 2008 INTERNATIONAL SYMPOSIUM ON KNOWLEDGE ACQUISITION AND MODELING, PROCEEDINGS, 2008, : 313 - 317
  • [10] Computing the minimum directed distances between convex polyhedra
    Shih, CL
    Liu, JY
    [J]. JOURNAL OF INFORMATION SCIENCE AND ENGINEERING, 1999, 15 (03) : 353 - 373