A Short Course in Computational Geometry and Topology

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  • A Short Course in Computational Geometry and Topology Book Detail

  • Author : Herbert Edelsbrunner
  • Release Date : 2014-04-28
  • Publisher : Springer Science & Business
  • Genre : Computers
  • Pages : 105
  • ISBN 13 : 3319059572
  • File Size : 18,18 MB

A Short Course in Computational Geometry and Topology by Herbert Edelsbrunner PDF Summary

Book Description: 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.

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