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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.
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