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

by Daniel Cohen-Or (Editor), Chen Greif (Editor), Tao Ju (Editor), Niloy J. Mitra (Editor), Ariel Shamir (Editor)

Overview

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.

Product Details

ISBN-13:	9780367658786
Publisher:	CRC Press
Publication date:	09/30/2020
Pages:	244
Product dimensions:	7.00(w) x 10.00(h) x (d)

About the Author

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

Table of Contents

Analytical Geometry. Linear Algebra. Least Squares Solutions. PCA and SVD. Spectral Transform. Solution of Linear Solutions . Laplace and Poisson. Curvatures: A Differential Geometry Tool. Dimensionality Reduction. Scattered Data Interpolation. Topology: How Are Objects Connected? Graphs and Images. Skewing Scheme.