Table of contents

Euclidean Geometry

NonEuclidean Geometries

CoordinateFree Geometry

Raster Graphics
About this book
Introduction
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 lies at the intersection of classical geometry and modern computing.
The main theme of the book is the definition of coordinatefree geometric software layers for Euclidean, spherical, projective, and orientedprojective 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 novel 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.
Startup 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.
Keywords
Bibliographic information
 DOI https://doi.org/10.1007/9781848001152
 Copyright Information Springer London 2008
 Publisher Name Springer, London
 eBook Packages Computer Science
 Print ISBN 9781848001145
 Online ISBN 9781848001152
 About this book