Generative Modeling for Computer Graphics and CAD

A complete overview of the geometry associated with computer graphics that provides everything a reader needs to understand the topic. Includes a summary hundreds of formulae used to solve 2D and 3D geometric problems; worked examples; proofs; mathematical strategies for solving geometric problems; a glossary of terms used in geometry....

Requires only a basic knowledge of mathematics and is geared toward the general educated specialists. Includes agallery of color images and Mathematica code listings. Computer 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. 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...