Euclidean geometric objects in the Clifford geometric algebra of {origin, 3-space, infinity}

被引：9

作者：

Hitzer, EMS ^{[1
]}

机构：

[1] Univ Fukui, Dept Engn Phys, 3-9-1 Bunkyo, Fukui 9108507, Japan

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2004年 / 11卷 / 05期

关键词：

Clifford algebra; geometric algebra; Horosphere; position; orientation; radius; 3D Euclidean object modeling;

D O I：

10.36045/bbms/1110205625

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper concentrates on the homogeneous (conformal) model of Euclidean space (Horosphere) with subspaces that intuitively correspond to Euclidean geometric objects in three dimensions. Mathematical details of the construction and (useful) parametrizations of the 3D Euclidean object models are explicitly demonstrated in order to show how 3D Euclidean information on positions, orientations and radii can be extracted.

引用

页码：653 / 662

页数：10

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