Guide to Computational Geometry Processing

J. Andreas Bærentzen|Jens Gravesen|François Anton|Henrik Aanæs

ISBN 10: 1447160312 / ISBN 13: 9781447160311

Published by Springer London, 2014

About this Item

Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides a practical focus on important techniques not covered by traditional courses on computer vision and computer graphicsPresents an introduction to the theoretical and mathematical underpinnings of each techniqueIncludes self-study ex. Seller Inventory # 4185502

Bibliographic Details

Title: Guide to Computational Geometry Processing

Publisher: Springer London

Publication Date: 2014

Binding: Soft cover

Condition: New

About this title

Synopsis:

This book reviews the algorithms for processing geometric data, with a practical focus on important techniques not covered by traditional courses on computer vision and computer graphics. Features: presents an overview of the underlying mathematical theory, covering vector spaces, metric space, affine spaces, differential geometry, and finite difference methods for derivatives and differential equations; reviews geometry representations, including polygonal meshes, splines, and subdivision surfaces; examines techniques for computing curvature from polygonal meshes; describes algorithms for mesh smoothing, mesh parametrization, and mesh optimization and simplification; discusses point location databases and convex hulls of point sets; investigates the reconstruction of triangle meshes from point clouds, including methods for registration of point clouds and surface reconstruction; provides additional material at a supplementary website; includes self-study exercises throughout the text.

From the Back Cover:

Optical scanning is rapidly becoming ubiquitous. From industrial laser scanners to medical CT, MR and 3D ultrasound scanners, numerous organizations now have easy access to optical acquisition devices that provide huge volumes of image data. However, the raw geometry data acquired must first be processed before it is useful.

This Guide to Computational Geometry Processing reviews the algorithms for processing geometric data, with a practical focus on important techniques not covered by traditional courses on computer vision and computer graphics. This is balanced with an introduction to the theoretical and mathematical underpinnings of each technique, enabling the reader to not only implement a given method, but also to understand the ideas behind it, its limitations and its advantages.

Topics and features:

• Presents an overview of the underlying mathematical theory, covering vector spaces, metric space, affine spaces, differential geometry, and finite difference methods for derivatives and differential equations
• Reviews geometry representations, including polygonal meshes, splines, and subdivision surfaces
• Examines techniques for computing curvature from polygonal meshes
• Describes algorithms for mesh smoothing, mesh parametrization, and mesh optimization and simplification
• Discusses point location databases and convex hulls of point sets
• Investigates the reconstruction of triangle meshes from point clouds, including methods for registration of point clouds and surface reconstruction
• Provides additional material at a supplementary website
• Includes self-study exercises throughout the text

Graduate students will find this text a valuable, hands-on guide to developing key skills in geometry processing. The book will also serve as a useful reference for professionals wishing to improve their competency in this area.