AUTOMATIC TESSELLATION OF QUADRIC SURFACES USING GRASSMANN-CAYLEY ALGEBRA

被引：0
|
作者：
Jourdan, Frederic [1 ]
Hegron, Gerard [2 ]
Mace, Pierre [3 ]
机构：
[1] Ecole Mines Nantes, 4 Rue Alfred Kastler,BP 20722, F-44307 Nantes, France
[2] Ecole Architecture Nantes, CERMA, F-44319 Nantes, France
[3] Ecole Architecture Paris La Villette, ARIAM, F-750I9 Paris, France
来源：
COMPUTER VISION AND GRAPHICS (ICCVG 2004) | 2006年 / 32卷
关键词：
Grassmann-Cayley algebra; conics and quadrics; surface modeling; tessellations;
D O I：
10.1007/1-4020-4179-9_97
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Grassmann-Cayley algebra (GCA) provides an efficient formulation of projectice geometry, allowing work with elementary geometrical objects at a low computational cost. In this paper we use GCA as a mathematical framework for modeling conic curves and quadric surfaces of 3D space, and for computing rational parameterizations of these. Then, through ad hoc sampling of the parameter space, we derive tessellations of conics and quadrics.
引用
收藏
页码：674 / 682
页数：9
相关论文
共 50 条
  • [1] Quadric modeling in a Grassmann-Cayley algebra setting
    Jourdan, F
    NINTH INTERNATIONAL CONFERENCE ON INFORMATION VISUALISATION, PROCEEDINGS, 2005, : 860 - 865
  • [2] Grassmann-Cayley algebra and robotics
    White, Neil L.
    Journal of Intelligent and Robotic Systems: Theory and Applications, 1994, 11 (1-2): : 91 - 107
  • [3] GRASSMANN-CAYLEY ALGEBRA AND ROBOTICS
    WHITE, NL
    JOURNAL OF INTELLIGENT & ROBOTIC SYSTEMS, 1994, 11 (1-2) : 91 - 107
  • [4] Kinestatic analysis of robot manipulators using the Grassmann-Cayley algebra
    Staffetti, E
    IEEE TRANSACTIONS ON ROBOTICS AND AUTOMATION, 2004, 20 (02): : 200 - 210
  • [5] Projective geometric theorem proving with Grassmann-Cayley algebra
    Li, Hongbo
    HERMANN GRASSMANN: FROM PAST TO FUTURE: GRASSMANN'S WORK IN CONTEXT, 2011, : 275 - 285
  • [6] Mobility analysis of overconstrained parallel mechanism using Grassmann-Cayley algebra
    Chai, Xinxue
    Li, Qinchuan
    Ye, Wei
    APPLIED MATHEMATICAL MODELLING, 2017, 51 : 643 - 654
  • [7] Singularity Analysis of Lower Mobility Parallel Manipulators Using Grassmann-Cayley Algebra
    Kanaan, Daniel
    Wenger, Philippe
    Caro, Stephane
    Chablat, Damien
    IEEE TRANSACTIONS ON ROBOTICS, 2009, 25 (05) : 995 - 1004
  • [8] Kinestatic analysis of serial and parallel robot manipulators using Grassmann-Cayley algebra
    Staffetti, E
    Thomas, F
    ADVANCES IN ROBOT KINEMATICS, 2000, : 17 - 26
  • [9] Singularity analysis of the H4 robot using Grassmann-Cayley algebra
    Amine, Semaan
    Caro, Stephane
    Wenger, Philippe
    Kanaan, Daniel
    ROBOTICA, 2012, 30 : 1109 - 1118
  • [10] SINGULARITY ANALYSIS OF THE 4 RUU PARALLEL MANIPULATOR USING GRASSMANN-CAYLEY ALGEBRA
    Amine, Semaan
    Masouleh, Mehdi Tale
    Caro, Stephane
    Wenger, Philippe
    Gosselin, Clement
    TRANSACTIONS OF THE CANADIAN SOCIETY FOR MECHANICAL ENGINEERING, 2011, 35 (04) : 515 - 528
12345