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Digital and Discrete Geometry - Theory and Algorithms (Hardcover, 2014 ed.)
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Digital and Discrete Geometry - Theory and Algorithms (Hardcover, 2014 ed.)
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This book provides comprehensive coverage of the modern methods for
geometric problems in the computing sciences. It also covers
concurrent topics in data sciences including geometric processing,
manifold learning, Google search, cloud data, and R-tree for
wireless networks and BigData. The author investigates digital
geometry and its related constructive methods in discrete geometry,
offering detailed methods and algorithms. The book is divided into
five sections: basic geometry; digital curves, surfaces and
manifolds; discretely represented objects; geometric computation
and processing; and advanced topics. Chapters especially focus on
the applications of these methods to other types of geometry,
algebraic topology, image processing, computer vision and computer
graphics. Digital and Discrete Geometry: Theory and Algorithms
targets researchers and professionals working in digital image
processing analysis, medical imaging (such as CT and MRI) and
informatics, computer graphics, computer vision, biometrics, and
information theory. Advanced-level students in electrical
engineering, mathematics, and computer science will also find this
book useful as a secondary text book or reference. Praise for this
book: This book does present a large collection of important
concepts, of mathematical, geometrical, or algorithmical nature,
that are frequently used in computer graphics and image processing.
These concepts range from graphs through manifolds to homology. Of
particular value are the sections dealing with discrete versions of
classic continuous notions. The reader finds compact definitions
and concise explanations that often appeal to intuition, avoiding
finer, but then necessarily more complicated, arguments... As a
first introduction, or as a reference for professionals working in
computer graphics or image processing, this book should be of
considerable value." - Prof. Dr. Rolf Klein, University of Bonn.
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