Guide to Computational Geometry Processing: Foundations, Algorithms, and Methods

Guide to Computational Geometry Processing: Foundations, Algorithms, and Methods

Author
Aanæs, HenrikAnton, FrançoisBærentzen, Jakob AndreasGravesen, Jens
Publisher
Imprint: Springer, Springer London
Language
English
Year
2012
Page
1 texte électronique :) fichiers PDF (XVIII, 325 p. 174 ill., 17 ill. en coul
ISBN
9781447140740,9781447140757,1447140753
File Type
pdf
File Size
15.2 MiB

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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