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

1. Auflage 2015
ISBN: 978-1-4987-0628-5
Verlag: CRC Press

Buch, Englisch, 244 Seiten, Format (B × H): 185 mm x 261 mm, Gewicht: 701 g

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.

Autoren/Hrsg.

Cohen-Or, Daniel

Greif, Chen

Ju, Tao

Mitra, Niloy J

Shamir, Ariel

Sorkine-Hornung, Olga

Zhang

Zhang, Hao (Richard)

Fachgebiete

• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Spiele-Programmierung, Rendering, Animation
• Mathematik | Informatik EDV | Informatik Professionelle Anwendung
• Mathematik | Informatik Mathematik Geometrie

Inhaltsverzeichnis

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.

Über Autor(innen)

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