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

ISBN-13: 9781498706285 / Angielski / Twarda / 2015 / 246 str.

Daniel Cohen-Or; Chen Greif; Tao Ju

Opis

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.

Spis treści

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.

O autorze

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