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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