*The geometric ideas in computer science, mathematics, engineering, and
physics have considerable overlap and students in each of these disciplines
will eventually encounter geometric computing problems. The topic is
traditionally taught in mathematics departments via geometry courses,
and in computer science through computer graphics modules. This text
isolates the fundamental topics affecting these disciplines
and lying at the intersection of classical geometry and modern
computing.*

*The main theme of the book is the definition of coordinate-free
geometric software layers for Euclidean, spherical, projective and
oriented-projective geometries. Results are derived from elementary
linear algebra and many classical computer graphics problems
(including the graphics pipeline) are recast in this new language.
Also included is a new treatment of classical geometric and solid
modeling problems. The definition of geometric software layers
promotes reuse, speeds up debugging, and prepares the ground for a
thorough discussion of advanced topics.*

*Start-up programs are provided for many programming exercises making
this an invaluable book for computer science lecturers as well as
software developers and researchers in the computer graphics industry.*

Table of contents:
pdf,
txt.

Code (Release 1.2—April 2011):
igc-code.zip (648 KB),
igc-code.tgz (251 KB).

Figures:
pdf
(2.3 MB) 1 figure/page; 348 figures (345 vector + 3 raster).

Errata:
pdf (April 2011).

ISBN-10: 1848001142

ISBN-13: 978-1848001145