Guide to Computational Geometry Processing

Foundations, Algorithms, and Methods

Nonfiction, Computers, Database Management, Data Processing, Application Software, Computer Graphics, General Computing
Cover of the book Guide to Computational Geometry Processing by J. Andreas Bærentzen, Jens Gravesen, Henrik Aanæs, François Anton, Springer London
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Author: J. Andreas Bærentzen, Jens Gravesen, Henrik Aanæs, François Anton ISBN: 9781447140757
Publisher: Springer London Publication: May 31, 2012
Imprint: Springer Language: English
Author: J. Andreas Bærentzen, Jens Gravesen, Henrik Aanæs, François Anton
ISBN: 9781447140757
Publisher: Springer London
Publication: May 31, 2012
Imprint: Springer
Language: English

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.

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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.

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