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Guide to Computational Geometry Processing: Foundations, Algorithms, and Methods (in English)
J. Andreas Bærentzen
(Author)
·
Jens Gravesen
(Author)
·
François Anton
(Author)
·
Springer
· Paperback
Guide to Computational Geometry Processing: Foundations, Algorithms, and Methods (in English) - Bærentzen, J. Andreas ; Gravesen, Jens ; Anton, François
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Synopsis "Guide to Computational Geometry Processing: Foundations, Algorithms, and Methods (in 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.
