Guide to Computational Geometry Processing

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

Provides a practical focus on important techniques not covered by traditional courses on computer vision and computer graphics

Presents an introduction to the theoretical and mathematical underpinnings of each technique

Includes self-study exercises throughout the text, and supplies additional material at a supplementary website

Includes supplementary material: [...]

Inhaltsverzeichnis

Part I: Mathematical Preliminaries.-
Vector Spaces, Affine Spaces, and Metric Spaces.- Differential Geometry.- Finite Difference Methods for Partial Differential Equations.-
Part II: Computational Geometry Processing.-
Polygonal Meshes.- Splines.- Subdivision.- Curvature in Triangle Meshes.- Mesh Smoothing and Variational Subdivision.- Parametrization of Meshes.- Simplifying and Optimizing Triangle Meshes.- Spatial Data Indexing and Point Location.- Convex Hulls.- Triangle Mesh Generation: Delaunay Triangulation.- 3D Surface Registration via Iterative Closest Point (ICP).- Surface Reconstruction using Radial Basis Functions.- Volumetric Methods for Surface Reconstruction and Manipulation.- Isosurface Polygonization.

Details

Erscheinungsjahr:	2014
Fachbereich:	Allgemeines
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xviii 326 S.
ISBN-13:	9781447160311
ISBN-10:	1447160312
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Bærentzen, J. Andreas Aanæs, Henrik Anton, François Gravesen, Jens
Hersteller:	Springer London Springer-Verlag London Ltd.
Maße:	235 x 155 x 19 mm
Von/Mit:	J. Andreas Bærentzen (u. a.)
Erscheinungsdatum:	11.06.2014
Gewicht:	0,522 kg

Artikel-ID: 105246150