ENGLISH

Rotation Transforms for Computer Graphics

By John Vince (auth.)

Book information

Publisher
Springer-Verlag London
Year
2011
ISBN
085729153X, 9780857291530, 9780857291547
DOI
10.1007/978-0-85729-154-7
Language
english
Format
PDF
Filesize
2 MB (2086969 bytes)
Edition
1
Pages
232\249
Topic
Computers
Time added
2011-06-04 13:46:07
Computer Graphics; Mathematicsgeneral

Description

Rotation transforms are used everywhere in computer graphics from rotating pictures in editing software, to providing an arbitrary view of a 3D virtual environment. Although the former is a trivial operation, the latter can be a challenging task. Rotation Transforms for Computer Graphics covers a wide range of mathematical techniques used for rotating points and frames of reference in the plane and 3D space. It includes many worked examples and over 100 illustrations that make it essential reading for students, academics, researchers and professional practitioners. The book includes introductory chapters on complex numbers, matrices, quaternions and geometric algebra, and further chapters on how these techniques are employed in 2D and 3D computer graphics. In particular, matrix and bivector transforms are developed and evaluated to rotate points in a fixed frame of reference, and vice versa.

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