Survey of new applications of geometric algebra

被引:6
|
作者
Hitzer, Eckhard [1 ,4 ]
Kamarianakis, Manos [2 ]
Papagiannakis, George [2 ]
Vasik, Petr [3 ]
机构
[1] Int Christian Univ, Coll Liberal Arts, Tokyo, Japan
[2] Univ Crete, Dept Comp Sci, Iraklion, Greece
[3] Brno Univ Technol, Fac Mech Engn, Brno, Czech Republic
[4] Int Christian Univ, Osawa 3-10-2, Mitaka 1818585, Japan
关键词
Clifford geometric algebra; computing; control; data processing; electric engineering; geometry; image and signal processing; mathematics; medical science; neural networks; physics; quantum computing; robotics; software; surface representations; EXPONENTIALS; MULTIVECTOR; ALGORITHMS; GENERATION; DESIGN;
D O I
10.1002/mma.9575
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This survey introduces 101 new publications on applications of Clifford's geometric algebras (GAs) newly published during 2022 (until mid-January 2023). The selection of papers is based on a comprehensive search with Dimensions.ai, followed by detailed screening and clustering. Readers will learn about the use of GA for mathematics, computation, surface representations, geometry, image, and signal processing, computing and software, quantum computing, data processing, neural networks, medical science, physics, electric engineering, control and robotics.
引用
收藏
页码:11368 / 11384
页数:17
相关论文
共 50 条
  • [1] Current survey of Clifford geometric algebra applications
    Hitzer, Eckhard
    Lavor, Carlile
    Hildenbrand, Dietmar
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (03) : 1331 - 1361
  • [2] New Applications of Clifford's Geometric Algebra
    Breuils, Stephane
    Tachibana, Kanta
    Hitzer, Eckhard
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2022, 32 (02)
  • [3] New Applications of Clifford’s Geometric Algebra
    Stephane Breuils
    Kanta Tachibana
    Eckhard Hitzer
    Advances in Applied Clifford Algebras, 2022, 32
  • [4] A Survey of Geometric Algebra and Geometric Calculus
    Alan Macdonald
    Advances in Applied Clifford Algebras, 2017, 27 : 853 - 891
  • [5] A Survey of Geometric Algebra and Geometric Calculus
    Macdonald, Alan
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017, 27 (01) : 853 - 891
  • [6] A Survey on Quaternion Algebra and Geometric Algebra Applications in Engineering and Computer Science 1995-2020
    Bayro-Corrochano, Eduardo
    IEEE ACCESS, 2021, 9 : 104326 - 104355
  • [7] Geometric algebra: Applications in engineering
    Lasenby, J
    CLIFFORD (GEOMETRIC) ALGEBRAS WITH APPLICATIONS TO PHYSICS, MATHEMATICS, AND ENGINEERING, 1996, : 423 - 440
  • [8] Applications of Clifford's Geometric Algebra
    Hitzer, Eckhard
    Nitta, Tohru
    Kuroe, Yasuaki
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2013, 23 (02) : 377 - 404
  • [9] Applications of Clifford’s Geometric Algebra
    Eckhard Hitzer
    Tohru Nitta
    Yasuaki Kuroe
    Advances in Applied Clifford Algebras, 2013, 23 : 377 - 404
  • [10] Recent applications of conformal geometric algebra
    Lasenby, A
    COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS, 2005, 3519 : 298 - 328