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A Short Course in Computational Geometry and Topology
Herbert Edelsbrunner
出版Springer Science & Business, 2014-04-28
主題Computers / Computer ScienceMathematics / TopologyTechnology & Engineering / BiomedicalMathematics / AppliedComputers / GeneralMathematics / Geometry / Analytic
ISBN33190595729783319059570
URLhttp://books.google.com.hk/books?id=jum5BAAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋This monograph presents a short course in computational geometry and topology. In the first part the book covers Voronoi diagrams and Delaunay triangulations, then it presents the theory of alpha complexes which play a crucial role in biology. The central part of the book is the homology theory and their computation, including the theory of persistence which is indispensable for applications, e.g. shape reconstruction. The target audience comprises researchers and practitioners in mathematics, biology, neuroscience and computer science, but the book may also be beneficial to graduate students of these fields.