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Understanding Geometric Algebra - Hamilton, Grassmann, and Clifford for Computer Vision and Graphics (Paperback) Loot Price: R1,580
Discovery Miles 15 800
Understanding Geometric Algebra - Hamilton, Grassmann, and Clifford for Computer Vision and Graphics (Paperback): Kenichi...

Understanding Geometric Algebra - Hamilton, Grassmann, and Clifford for Computer Vision and Graphics (Paperback)

Kenichi Kanatani

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Loot Price R1,580 Discovery Miles 15 800 | Repayment Terms: R148 pm x 12*

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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.

General

Imprint: Crc Press
Country of origin: United Kingdom
Release date: June 2020
First published: 2015
Authors: Kenichi Kanatani
Dimensions: 254 x 178 x 16mm (L x W x T)
Format: Paperback
Pages: 208
ISBN-13: 978-0-367-57582-3
Categories: Books > Science & Mathematics > Mathematics > Algebra > General
Books > Computing & IT > Applications of computing > Artificial intelligence > Computer vision
Books > Professional & Technical > Electronics & communications engineering > Electronics engineering > Automatic control engineering > Robotics
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LSN: 0-367-57582-5
Barcode: 9780367575823

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