Geometric algebra: A computational framework for geometrical applications Part 2

被引：35
作者：
Mann, S
Dorst, L
机构：
[1] Univ Waterloo, Sch Comp Sci, Waterloo, ON N2L 3G1, Canada
[2] Univ Amsterdam, Inst Informat, NL-1012 WX Amsterdam, Netherlands
来源：
IEEE COMPUTER GRAPHICS AND APPLICATIONS | 2002年 / 22卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1109/MCG.2002.1016699
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
A two-part introduction to geometric algebra which intends to alert in the existence of a small set of products that appears to generate all geometric constructions in one consistent framework. Using this framework can simplify the set of data structures representing objects because it inherently encodes all relationships and symmetries of the geometrical primitives in those operators. This paper presents some of the most important or useful ideas of geometric algebra as it relates to computer graphics.
引用
收藏
页码：58 / 67
页数：10
相关论文
共 14 条
[1]  
BOUMA TA, ACTA APPL MATH
[2]  
DORAN C, 1996, CLIFFORD GEOMETRIC A
[3]  
DORAN C, 2001, PHYSICAL APPPL GEOME
[4]  
DORAN C, 2001, PHYSICAL APPL GEOMET
[5]   Geometric algebra: A computational framework for geometrical applications - Part 1 [J].
Dorst, L ;
Mann, S .
IEEE COMPUTER GRAPHICS AND APPLICATIONS, 2002, 22 (03) :24-31
[6]  
DORST L, GABLE GEOMETRIC ALGE
[7]  
FONTIJNE D, DAIGEN GEOMETRIC ALG
[8]  
FONTIJNE D, GEOMETRIC ALGEBRA IE
[9]   The ambient spaces of computer graphics and geometric modeling [J].
Goldman, R .
IEEE COMPUTER GRAPHICS AND APPLICATIONS, 2000, 20 (02) :76-84
[10]   THE DESIGN OF LINEAR ALGEBRA AND GEOMETRY [J].
HESTENES, D .
ACTA APPLICANDAE MATHEMATICAE, 1991, 23 (01) :65-93
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