Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics, 1st Edition (e-Book) book cover

Understanding Geometric Algebra

Hamilton, Grassmann, and Clifford for Computer Vision and Graphics, 1st Edition

By Kenichi Kanatani

A K Peters/CRC Press

208 pages

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Hardback: 9781482259506
pub: 2015-04-06
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pub: 2015-04-06
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Description

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

Table of Contents

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.

About the Author

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.

Subject Categories

BISAC Subject Codes/Headings:
COM012000
COMPUTERS / Computer Graphics
MAT002000
MATHEMATICS / Algebra / General
TEC037000
TECHNOLOGY & ENGINEERING / Robotics