Cohen-Or / Greif / Ju Mathematical Tools for Applied Geometry

Foundations for Computer Graphics, Vision, and Image Processing
1. Auflage 2015
ISBN: 978-1-4987-0630-8
Verlag: CRC Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 246 Seiten

The efficient solution of many important problems in applied geometry relies on the use of effective mathematical and computational tools. This book presents, using a light approach, a sampler of tools that have been adopted in computer graphics, image processing, vision, and geometry in general. The focus is on computational and algorithmic details, without delving too deeply into the underlying theoretical analysis. The book covers a wide range of topics, from matrix decomposition to curvature analysis, and principle component analysis to least square fitting, to name a few.

Autoren/Hrsg.

Cohen-Or, Daniel

Greif, Chen

Ju, Tao

Mitra, Niloy Jyoti

Mitra, Niloy J.

Shami, Ariel

Shamir, Ariel

Sorkine-Hornung, Olga

Zhang, Hao

Zhang, Hao (Richard)

Fachgebiete

• Mathematik | Informatik EDV | Informatik Professionelle Anwendung
• Technische Wissenschaften Sonstige Technologien | Angewandte Technik Signalverarbeitung, Bildverarbeitung, Scanning

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.