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New Applications of Clifford’s Geometric Algebra
Advances in Applied Clifford Algebras ( IF 1.5 ) Pub Date : 2022-02-14 , DOI: 10.1007/s00006-021-01196-7
Stephane Breuils 1 , Kanta Tachibana 2 , Eckhard Hitzer 3
Affiliation  

The new applications of Clifford’s geometric algebra surveyed in this paper include kinematics and robotics, computer graphics and animation, neural networks and pattern recognition, signal and image processing, applications of versors and orthogonal transformations, spinors and matrices, applied geometric calculus, physics, geometric algebra software and implementations, applications to discrete mathematics and topology, geometry and geographic information systems, encryption, and the representation of higher order curves and surfaces.



中文翻译:

克利福德几何代数的新应用

本文调查的克利福德几何代数的新应用包括运动学和机器人学、计算机图形学和动画、神经网络和模式识别、信号和图像处理、倒数和正交变换的应用、旋量和矩阵、应用几何微积分、物理学、几何代数软件和实现、离散数学和拓扑的应用、几何和地理信息系统、加密以及高阶曲线和曲面的表示。

更新日期:2022-02-14
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