A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing

Daniel Cohen-Or, Chen Greif, Tao Ju, Niloy J. Mitra, Ariel Shamir, Olga Sorkine-Hornung, Hao (Richard) Zhang

May 21, 2015 by A K Peters/CRC Press
Reference - 246 Pages - 156 Color Illustrations
ISBN 9781498706285 - CAT# K24819

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  • Describes mathematical approaches (such as singular value decomposition, signal transforms, differential analysis, interpolation, and dynamic programming) useful in many domains, including computer graphics, image processing, computer vision, digital geometry processing, and geometry
  • Presents solutions to various applied problems, such as image alignment, surface approximation, compression, and image manipulation
  • Improves readers’ problem-solving skills through the solution of non-trivial geometric problems
  • Requires no in-depth background in mathematics, emphasizing the main principles without excessive rigor
  • Prepares readers for advanced studies in visual computing or applied geometry


A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing shows how to use a collection of mathematical techniques to solve important problems in applied mathematics and computer science areas. The book discusses fundamental tools in analytical geometry and linear algebra. It covers a wide range of topics, from matrix decomposition to curvature analysis and principal component analysis to dimensionality reduction.

Written by a team of highly respected professors, the book can be used in a one-semester, intermediate-level course in computer science. It takes a practical problem-solving approach, avoiding detailed proofs and analysis. Suitable for readers without a deep academic background in mathematics, the text explains how to solve non-trivial geometric problems. It quickly gets readers up to speed on a variety of tools employed in visual computing and applied geometry.