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

1st Edition

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

By Kenichi Kanatani Copyright 2015
208 Pages
by A K Peters/CRC Press

208 Pages 74 B/W Illustrations
by A K Peters/CRC Press

208 Pages
by A K Peters/CRC Press
Also available as eBook on:
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... Read more

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.

Biography

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.

"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

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