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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.
The 9th issue of the Transactions on Computational Science journal,
edited by Fran ois Anton, is devoted to the subject of Voronoi
diagrams in science and engineering. The 9 papers included in the
issue constitute extended versions of selected papers from the
International Symposium on Voronoi Diagrams, held in Copenhagen,
Denmark, June 23-36, 2009. Topics covered include: divide and
conquer construction of Voronoi diagrams; new generalized Voronoi
diagrams or properties of existing generalized Voronoi diagrams;
and applications of Voronoi diagrams and their duals in graph
theory, computer graphics, bioinformatics, and spatial process
simulation.
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