Oriented conformal geometric algebra

被引：10
|
作者：
Cameron, Jonathan [1 ]
Lasenby, Joan [1 ]
机构：
[1] Univ Cambridge, Dept Engn, Signal Proc & Commun Lab, Cambridge CB2 1PZ, England
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2008年 / 18卷 / 3-4期
关键词：
conformal geometric algebra; oriented projective geometry; interpolation;
D O I：
10.1007/s00006-008-0084-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In [16] Stolfi developed a complete theory of Oriented Projective Geometry. He showed that assigning meaning to the sign of an otherwise homogeneous representation of geometry could provide a, multitude of benefits. This paper extends his work by applying the same approach to Conformal Geometric Algebra. Oriented Conformal Geometric Algebra allows intuitive manipulation of such concepts as half-spaces, inclusion within geometric entities and ordered intersections. It also illustrates the non-commutative nature of the meet. The paper concludes with some examples of applications in which Oriented Conformal Geometric Algebra is already providing benefits.
引用
收藏
页码：523 / 538
页数：16
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