Guide To Computational Geometry Processing: Foundations, Algorithms, And Methods

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.

• • Author: J. Andreas B?entzen, Jens Gravesen, Francois Anton, Henrik Aan?
• • Publisher: Springer
• • Publication Date: Jun 11, 2014
• • Number of Pages: 344 pages
• • Language: English
• • Binding: Paperback
• • ISBN-10: 1447160312
• • ISBN-13: 9781447160311