ABSTRACT

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

chapter 2|18 pages

Linear Algebra?

chapter 3|16 pages

Least-Squares Solutions

chapter 4|16 pages

PCA and SVD

chapter 5|18 pages

Spectral Transform

chapter 6|18 pages

Solution of Linear Systems

chapter 7|18 pages

Laplace and Poisson

chapter 8|14 pages

Curvatures: A Differential Geometry Tool

chapter 9|16 pages

Dimensionality Reduction

chapter 10|16 pages

Scattered-Data Interpolation

chapter 11|14 pages

Topology: How Are Objects Connected?

chapter 12|28 pages

Graphs and Images

chapter 13|8 pages

Skewing Schemes