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
 Book Title Introduction to Geometric Computing

Authors
Sherif Ghali
 DOI https://doi.org/10.1007/9781848001152
 Copyright Information Springer London 2008
 Publisher Name Springer, London
 eBook Packages Computer Science Computer Science (R0)
 Softcover ISBN 9781848001145
 eBook ISBN 9781848001152
 Edition Number 1
 Number of Pages XVII, 340
 Number of Illustrations 0 b/w illustrations, 0 illustrations in colour

Topics
Software Engineering/Programming and Operating Systems
Geometry
Math Applications in Computer Science
Computer Graphics
ComputerAided Engineering (CAD, CAE) and Design
Computer Imaging, Vision, Pattern Recognition and Graphics
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Reviews
From the reviews:
"This textbook is excellent for students and programmers working in geometric computing. … The main theme of the book is the definition of coordinatefree geometric software layers for Euclidean, spherical, projective, and oriented projective geometries. … The reader can learn the way of designing libraries for Euclidean, spherical, projective, and oriented projective geometries. … The author also presents the classical raster graphics algorithms that are traditionally introduced in an undergraduate computer graphics course." (Attila Fazekas, Zentralblatt MATH, Vol. 1154, 2009)