Guide to Computational Geometry Processing
Foundations, Algorithms, and Methods
Seiten
2014
|
2012 ed.
Springer London Ltd (Verlag)
978-1-4471-6031-1 (ISBN)
Springer London Ltd (Verlag)
978-1-4471-6031-1 (ISBN)
describes algorithms for mesh smoothing, mesh parametrization, and mesh optimization and simplification; investigates the reconstruction of triangle meshes from point clouds, including methods for registration of point clouds and surface reconstruction;
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.
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.
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.
| Zusatzinfo | XVIII, 326 p. |
|---|---|
| Verlagsort | England |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Informatik ► Grafik / Design ► Digitale Bildverarbeitung |
| Mathematik / Informatik ► Informatik ► Software Entwicklung | |
| Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik | |
| Informatik ► Weitere Themen ► CAD-Programme | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| ISBN-10 | 1-4471-6031-2 / 1447160312 |
| ISBN-13 | 978-1-4471-6031-1 / 9781447160311 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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