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.

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This book reviews algorithms for processing geometric data, with a practical focus on techniques not covered by typical courses on computer vision and graphics. Presents an overview of underlying theory, and includes self-study exercises throughout the text.

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Articles li�s � Guide to Computational Geometry Processing: Foundations,...

Guide to Computational Geometry Processing: Foundations, Algorithms, and Methods

B�rentzen, J. Andreas; Gravesen, Jens; Anton, Fran�ois; Aan�s, Henrik

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