Some applications of Clifford algebra to geometries

被引:0
|
作者
Li, HB [1 ]
机构
[1] Arizona State Univ, Dept Phys & Astron, Tempe, AZ 85287 USA
关键词
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper focuses on a Clifford algebra model for geometric computations in 2D and 3D geometries. The model integrates symbolic representation of geometric entities, such as points, lines, planes, circles and spheres, with that of geometric constraints such as angles and distances, and is appropriate for both symbolic and numeric computations. Details on how to apply this model are provided and examples are given to illustrate the application.
引用
收藏
页码:156 / 179
页数:24
相关论文
共 50 条
  • [1] Space-Time Geometry and Some Applications of Clifford Algebra in Physics
    Ying-Qiu Gu
    Advances in Applied Clifford Algebras, 2018, 28
  • [2] Space-Time Geometry and Some Applications of Clifford Algebra in Physics
    Gu, Ying-Qiu
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2018, 28 (04)
  • [3] Applications of Clifford's Geometric Algebra
    Hitzer, Eckhard
    Nitta, Tohru
    Kuroe, Yasuaki
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2013, 23 (02) : 377 - 404
  • [4] Applications of Matrix Algebra to Clifford Groups
    Lee, Doohann
    Song, Youngkwon
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2012, 22 (02) : 391 - 398
  • [5] Applications of Matrix Algebra to Clifford Groups
    Doohann Lee
    Youngkwon Song
    Advances in Applied Clifford Algebras, 2012, 22 : 391 - 398
  • [6] Applications of Clifford’s Geometric Algebra
    Eckhard Hitzer
    Tohru Nitta
    Yasuaki Kuroe
    Advances in Applied Clifford Algebras, 2013, 23 : 377 - 404
  • [7] Clifford geometric algebras in multilinear algebra and non-euclidean geometries
    Sobczyk, G
    COMPUTATIONAL NONCOMMUTATIVE ALGEBRA AND APPLICATIONS, 2004, 136 : 1 - 27
  • [8] Current survey of Clifford geometric algebra applications
    Hitzer, Eckhard
    Lavor, Carlile
    Hildenbrand, Dietmar
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (03) : 1331 - 1361
  • [9] New Applications of Clifford's Geometric Algebra
    Breuils, Stephane
    Tachibana, Kanta
    Hitzer, Eckhard
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2022, 32 (02)
  • [10] New Applications of Clifford’s Geometric Algebra
    Stephane Breuils
    Kanta Tachibana
    Eckhard Hitzer
    Advances in Applied Clifford Algebras, 2022, 32