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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 14期

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

页码：11368 / 11384

页数：17

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 geometric algebra in robot vision
Sommer, G
COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS, 2005, 3519 : 258 - 277
[10] Recent applications of conformal geometric algebra
Lasenby, A
COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS, 2005, 3519 : 298 - 328

← 1 2 3 4 5 →