Guide to Computational Geometry Processing : Foundations, Algorithms, and Methods. 1st ed. 2012
- 種類:
- 電子ブック
- 責任表示:
- by J. Andreas Bærentzen, Jens Gravesen, François Anton, Henrik Aanæs
- 出版情報:
- London : Springer London : Imprint: Springer, 2012
- 著者名:
- ISBN:
- 9781447140757 [1447140753]
- 注記:
- 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.
Optical scanning is rapidly becoming ubiquitous. From industrial laser scanners to medical CT, MR and 3D ultrasound scanners, numerous organizations now have easy access to optical acquisition devices that provide huge volumes of image data. However, the raw geometry data acquired must first be processed before it is useful. This Guide to Computational Geometry Processing 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. This is balanced with an introduction to the theoretical and mathematical underpinnings of each technique, enabling the reader to not only implement a given method, but also to understand the ideas behind it, its limitations and its advantages. Topics and 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 equati - ローカル注記:
- 学内専用E-BOOKS (local access only)
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