Rotation Transforms for Computer Graphics by John Vince
English | 2011 | ISBN: 085729153X | PDF | 258 pages |
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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