Computer Graphics for Java Programmers

by Ammeraal, Leen; Zhang, Kang

• ISBN13: 9780470031605
• ISBN10: 0470031603
• Edition: 2nd
• Format: Paperback
• Copyright: 2007-02-27
• Publisher: WILEY

Summary

A great many varied and interesting visual effects can be achieved with computer graphics, for which a fundamental understanding of the underlying mathematical concepts and a knowledge of how they can be implemented in a particular programming language is essential.Computer Graphics for Java Programmers, 2nd edition covers elementary concepts in creating and manipulating 2D and 3D graphical objects, covering topics from classic graphics algorithms to perspective drawings and hidden-line elimination. Completely revised and updated throughout, the second edition of this highly popular textbook contains a host of ready-to-run-programs and worked examples, illuminating general principles and geometric techniques. Ideal for classroom use or self-study, it provides a perfect foundation for programming computer graphics using Java.

Author Biography

Leen Ammeraal is a retired lecturer of Hogeschool Utrecht, The Netherlands, where he was employed from 1977 to 1998. He has a degree (ir.) in mathematics at University of Technology Delft, The Netherlands. He worked as a programmer and mathematician at Akzo Research and Engineering, Arnhem, The Netherlands, from 1961 to 1972 and did research work on compilers from 1972 to 1977 at Mathematical Centre, Amsterdam. He wrote many books for Wiley (as well as for the Dutch publisher Academic Service). Some of his Wiley books have been translated into other languages (Japanese, Russian, Italian, French, German, Greek, Danish, Portuguese, Bulgarian).

Kang Zhang is a Professor in Computer Science and Director of Visual Computing Lab at the University of Texas at Dallas. He received his B.Eng. in Computer Engineering from the University of Electronic Science and Technology, China, in 1982; and Ph.D. from the University of Brighton, UK, in 1990. He held academic positions in the UK and Australia, prior to joining UTD. Zhang's current research interests are in the areas of visual languages, graphical visualization, and Web engineering; and has published over 130 papers in these areas. He has taught computer graphics and related subjects at both graduate and undergraduate levels for many years. Zhang was also an editor of two books on software visualization.

Table of Contents

Preface	p. ix
Elementary Concepts	p. 1
Lines, Coordinates and Pixels	p. 2
The Boundaries of Filled Regions	p. 7
Logical Coordinates	p. 8
Anisotropic and Isotropic Mapping Modes	p. 14
Defining a Polygon by Using the Mouse	p. 21
Exercises	p. 26
Applied Geometry	p. 31
Vectors	p. 32
Inner Product	p. 34
Determinants	p. 34
Vector Product	p. 37
The Orientation of Three Points	p. 38
Polygons	p. 41
The Area of a Polygon	p. 42
Point-in-Triangle Test	p. 44
Point-in-Polygon Test	p. 45
Point-on-Line Test	p. 47
Distance Between a Point and a Line	p. 50
Projection of a Point on a Line	p. 51
Triangulation of Polygons	p. 53
Exercises	p. 58
Geometrical Transformations	p. 63
Matrix Multiplication	p. 64
Linear Transformations	p. 65
Translations	p. 71
Homogeneous Coordinates	p. 71
Inverse Transformations and Matrix Inversion	p. 72
Rotation About an Arbitrary Point	p. 74
Changing the Coordinate System	p. 78
Rotations About 3D Coordinate Axes	p. 79
Rotation About an Arbitrary Axis	p. 80
Exercises	p. 88
Some Classic Algorithms	p. 91
Bresenham's Algorithm for Line Drawing	p. 92
Doubling the Line-Drawing Speed	p. 97
Circles	p. 102
Cohen-Sutherland Line Clipping	p. 107
Sutherland-Hodgman Polygon Clipping	p. 113
Bezier Curves	p. 120
B-Spline Curve Fitting	p. 130
Exercises	p. 135
Perspective	p. 139
Introduction	p. 140
The Viewing Transformation	p. 141
The Perspective Transformation	p. 146
A Cube in Perspective	p. 148
Some Useful Classes	p. 152
A General Program for Wire-Frame Models	p. 168
Exercises	p. 174
Hidden-Line Elimination	p. 177
Line Segments and Triangles	p. 178
Tests for Visibility	p. 179
Specification and Representation of 3D Objects	p. 190
Holes and Invisible Line Segments	p. 192
Individual Faces and Line Segments	p. 194
Automatic Generation of Object Specification	p. 198
Hidden-Line Elimination with HP-GL Output	p. 207
Implementation	p. 209
Exercises	p. 213
Hidden-Face Elimination	p. 219
Back-Face Culling	p. 220
Coloring Individual Faces	p. 225
Painter's Algorithm	p. 226
Z-Buffer Algorithm	p. 234
Exercises	p. 246
Fractals	p. 249
Introduction	p. 249
Koch Curves	p. 250
String Grammars	p. 253
Mandelbrot and Julia Sets	p. 264
Exercises	p. 276
Linear Interpolation of 1/z	p. 277
A Note on Event Handling	p. 281
File Obj3D.java	p. 287
Class CvHLines.java	p. 293
Some Applications	p. 301
Platonic Solids	p. 301
Sphere Representations	p. 312
A Torus	p. 319
Beams in a Spiral	p. 323
Functions of Two Variables	p. 326
Hints and Solutions to Exercises	p. 339
Bibliography	p. 371
Index	p. 373
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