Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics

This book introduces geometric algebra with an emphasis on the background mathematics of Hamilton, Grassmann, and Clifford. Unlike similar texts, this one first gives separate descriptions of the various algebras and then explains how they are combined to define the field of geometric algebra. With...

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1. Verfasser: Kanatani, Kenichi
Format: Buch
Sprache:eng
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Zusammenfassung:This book introduces geometric algebra with an emphasis on the background mathematics of Hamilton, Grassmann, and Clifford. Unlike similar texts, this one first gives separate descriptions of the various algebras and then explains how they are combined to define the field of geometric algebra. With useful historical notes and exercises, it gives readers insight into the mathematical theories behind complicated geometric computations. It shows how to describe and compute geometry for 3D modeling applications in computer graphics and computer vision.
DOI:10.1201/b18273