Algebra

   

New Applications of Clifford’s Geometric Algebra

Authors: Stephane Breuils, Kanta Tachibana, Eckhard Hitzer

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.

Comments: 43 Pages. Revised (expanded) version of journal article https://doi.org/10.1007/s00006-021-01196-7.

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Submission history

[v1] 2022-02-14 09:20:00

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