Geometric Methods and Applications: For Computer Science and Engineering

by Jean Gallier

As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book fills the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics that do not cover the underlying geometric concepts in detail. Gallier offers an introduction to affine, projective, computational, and Euclidean geometry, basics of differential geometry and Lie groups, and explores many of the practical applications of geometry. Some of these include computer vision, efficient communication, error correcting codes, cryptography, motion interpolation, and robot kinematics. This comprehensive text covers most of the geometric background needed for conducting research in computer graphics, geometric modeling, computer vision, and robotics and as such will be of interest to a wide audience including computer scientists, mathematicians, and engineers.

586 pages, Hardcover

First published November 3, 2000

Reviews

[Shaun Zhang · Rating 3 out of 5]

The book covers a broad branches of geometry, from classical to differential, then to Lie algebra, but actually lacks geometric favor. In terms of what I read and skimmed, none explain very clear. The structure is messy and there seems no main framework in each chapter.