A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing
- Length: 246 pages
- Edition: 1
- Language: English
- Publisher: A K Peters/CRC Press
- Publication Date: 2015-06-01
- ISBN-10: 1498706282
- ISBN-13: 9781498706285
- Sales Rank: #2016287 (See Top 100 Books)
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.
Table of Contents
Chapter 1: Analytical Geometry
Chapter 2: Linear Algebra?
Chapter 3: Least-Squares Solutions
Chapter 4: PCA and SVD
Chapter 5: Spectral Transform
Chapter 6: Solution of Linear Systems
Chapter 7: Laplace and Poisson
Chapter 8: Curvatures: A Differential Geometry Tool
Chapter 9: Dimensionality Reduction
Chapter 10: Scattered-Data Interpolation
Chapter 11: Topology: How Are Objects Connected?
Chapter 12: Graphs and Images
Chapter 13: Skewing Schemes