Kenichi Kanatani

Understanding Geometric Algebra (eBook, PDF)

Hamilton, Grassmann, and Clifford for Computer Vision and Graphics

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 208
• Erscheinungstermin: 6. April 2015
• Englisch
• ISBN-13: 9781482259513
• Artikelnr.: 42564787

Autorenporträt

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.

Inhaltsangabe

Introduction. 3D Euclidean Geometry. Oblique Coordinate Systems. Hamilton's
Quaternion Algebra. Grassmann's Outer Product Algebra. Geometric Product
and Clifford Algebra. Homogeneous Space and Grassmann-Cayley Algebra.
Conformal Space and Conformal Geometry: Geometric Algebra. Camera Imaging
and Conformal Transformations. Answers. Bibliography. Index.

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Introduction. 3D Euclidean Geometry. Oblique Coordinate Systems. Hamilton's Quaternion Algebra. Grassmann's Outer Product Algebra. Geometric Product and Clifford Algebra. Homogeneous Space and Grassmann-Cayley Algebra. Conformal Space and Conformal Geometry: Geometric Algebra. Camera Imaging and Conformal Transformations. Answers. Bibliography. Index.

Rezensionen

"Several software tools are available for executing geometric algebra, but the purpose of the book is to bring about a deeper insight and interest in the theory on which these tools are based."
-Zentralblatt MATH 1319