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

Kanatani, Kenichi

 
9780367575823: Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics
Softcover
ISBN 10: 0367575825 ISBN 13: 9780367575823
Verlag: A K Peters/CRC Press, 2020

Inhaltsangabe

Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics introduces geometric algebra with an emphasis on the background mathematics of Hamilton, Grassmann, and Clifford. It shows how to describe and compute geometry for 3D modeling applications in computer graphics and computer vision.





Unlike similar texts, this book first gives separate descriptions of the various algebras and then explains how they are combined to define the field of geometric algebra. It starts with 3D Euclidean geometry along with discussions as to how the descriptions of geometry could be altered if using a non-orthogonal (oblique) coordinate system. The text focuses on Hamilton’s quaternion algebra, Grassmann’s outer product algebra, and Clifford algebra that underlies the mathematical structure of geometric algebra. It also presents points and lines in 3D as objects in 4D in the projective geometry framework; explores conformal geometry in 5D, which is the main ingredient of geometric algebra; and delves into the mathematical analysis of camera imaging geometry involving circles and spheres.





With useful historical notes and exercises, this book gives readers insight into the mathematical theories behind complicated geometric computations. It helps readers understand the foundation of today’s geometric algebra.

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Über die Autorin bzw. den Autor

Kenichi Kanatani is a professor emeritus at Okayama University. A fellow of IEICE and IEEE, Dr. Kanatani is the author of numerous books on computer vision and applied mathematics. He is also a board member of several journals and conferences.

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Verlag
A K Peters/CRC Press
Erscheinungsdatum
2020
Sprache
Englisch
ISBN 10 
0367575825
ISBN 13 
9780367575823
Einband
Taschenbuch
Anzahl der Seiten
192
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Deutschland

Weitere beliebte Ausgaben desselben Titels

9781482259506: Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics

Vorgestellte Ausgabe

ISBN 10:  1482259508 ISBN 13:  9781482259506
Verlag: A K Peters/CRC Press, 2015
Hardcover