Mathematical Structures for Computer Graphics

A comprehensive exploration of the mathematics behind the modeling and rendering of computer graphics scenes

Mathematical Structures for Computer Graphics presents an accessible and intuitive approach to the mathematical ideas and techniques necessary for two- and three-dimensional computer graphics. Focusing on the significant mathematical results, the book establishes key algorithms used to build complex graphics scenes.

• Numerous examples of two- and three-dimensional techniques along with numerical calculations
• Plenty of mathematical and programming exercises in each chapter, which are designed particularly for graphics tasks
• Additional details at the end of each chapter covering historical notes, further calculations, and connected concepts for readers who wish to delve deeper
• Unique coverage of topics such as calculations with homogeneous coordinates, computational geometry for polygons, use of barycentric coordinates, various descriptions for curves, and L-system techniques for recursive images

STEVEN J. JANKE, PhD, is Professor of Mathematics and Computer Science at Colorado College. He has over 20 years of teaching experience in the field of computer graphics and is the coauthor of Introduction to Linear Models and Statistical Inference, also published by Wiley.