Curves and Surfaces for Computer GraphicsComputer graphics is important in many areas including engineering design, architecture, education, and computer art and animation. This book examines a wide array of current methods used in creating real-looking objects in the computer, one of the main aims of computer graphics. Key features: * Good foundational mathematical introduction to curves and surfaces; no advanced math required * Topics organized by different interpolation/approximation techniques, each technique providing useful information about curves and surfaces * Exposition motivated by numerous examples and exercises sprinkled throughout, aiding the reader * Includes a gallery of color images, Mathematica code listings, and sections on curves & surfaces by refinement and on sweep surfaces * Web site maintained and updated by the author, providing readers with errata and auxiliary material This engaging text is geared to a broad and general readership of computer science/architecture engineers using computer graphics to design objects, programmers for computer gamemakers, applied mathematicians, and students majoring in computer graphics and its applications. It may be used in a classroom setting or as a general reference. |
Contents
7 | 35 |
11 | 41 |
Linear Interpolation | 49 |
3 | 70 |
3 | 78 |
4 | 87 |
Hermite Interpolation | 111 |
Spline Interpolation 141 | 140 |
5 | 344 |
Sweep Surfaces | 347 |
6 | 358 |
A Conic Sections | 363 |
Graphics Gallery | 377 |
Answers to Exercises | 387 |
7 | 415 |
| 447 | |