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

页码：674 / 682

页数：9

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