Introduction to Geometric Computing - Sherif Ghali

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Introduction to Geometric Computing

By: Sherif Ghali

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Paperback | 25 June 2015

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Paperback
360 Pages

Dimensions(cm)
15.88 x 19.05 x 1.27

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Although geometry has been a flourishing discipline for millennia, most of it has seen either no practical applications or only esoteric ones. Computing is quickly making much of geometry intriguing not only for philosophers and mathematicians, but also for scientists and engineers. What is the core set of topics that a practitioner needs to study before embarking on the design and implementation of a geometric system in a specialized discipline? This book attempts to find the answer.

Every programmer tackling a geometric computing problem encounters design decisions that need to be solved. What may not be clear to individual programmers is that these design decisions have already been contemplated by others who have gone down some system design path only to discover (usually much later) that the design decisions that were made were lacking in some respect. This book reviews the geometric theory then applies it in an attempt to find that elusive "right" design.

Industry 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 coordinate-free 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)

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Euclidean geometry	p. 1
2D computational Euclidean geometry	p. 3
Geometric predicates	p. 17
3D computational Euclidean geometry	p. 27
Affine transformations	p. 35
Affine intersections	p. 51
Genericity in geometric computing	p. 61
Numerical precision	p. 69
Non-Euclidean geometries	p. 85
1D computational spherical geometry	p. 87
2D computational spherical geometry	p. 93
Rotations and quaternions	p. 101
Projective geometry	p. 109
Homogeneous coordinates for projective geometry	p. 119
Barycentric coordinates	p. 143
Oriented projective geometry	p. 149
Oriented projective intersections	p. 157
Coordinate-free geometry	p. 169
Homogeneous coordinates for Euclidean geometry	p. 171
Coordinate-free geometric computing	p. 175
Introduction to CGAL	p. 183
Raster graphics	p. 191
Segment scan conversion	p. 193
Polygon-point containment	p. 201
Illumination and shading	p. 205
Raster-based visibility	p. 209
Ray tracing	p. 213
Tree and graph drawing	p. 217
Tree drawing	p. 219
Graph drawing	p. 227
Geometric and solid modeling	p. 235
Boundary representations	p. 237
The halfedge data structure and Euler operators	p. 245
BSP trees in Euclidean and spherical geometries	p. 255
Geometry-free geometric computing	p. 265
Constructive solid geometry	p. 277
Vector visibility	p. 285
Visibility from Euclidean to spherical spaces	p. 287
Visibility in space	p. 293
Appendices	p. 297
The PostScript language	p. 299
OpenGL	p. 309
The GLOW toolkit	p. 319
Bibliography	p. 331
Index	p. 335
Table of Contents provided by Blackwell. All Rights Reserved.

Introduction to Geometric Computing

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

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