A Short Course in Computational Geometry and Topology

With the aim to bring the subject of Computational Geometry and Topology closer to the scientific audience, this book is written in thirteen ready-to-teach sections organized in four parts: TESSELLATIONS, COMPLEXES, HOMOLOGY, PERSISTENCE. To speak to the non-specialist, detailed formalisms are often...

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Main Author: Edelsbrunner, Herbert. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Series:SpringerBriefs in Mathematical Methods,
Subjects:
Online Access:https://doi.org/10.1007/978-3-319-05957-0
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300 |a IX, 110 p. 64 illus., 60 illus. in color.  |b online resource. 
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505 0 |a Roots of Geometry and Topology -- Voronoi and Delaunay Diagrams -- Weighted Diagrams -- Three Dimensions -- Alpha Complexes -- Holes -- Area Formulas -- Topological Spaces -- Homology Groups -- Complex Construction -- Filtrations -- PL Functions -- Matrix Reduction -- Epilogue. 
520 |a With the aim to bring the subject of Computational Geometry and Topology closer to the scientific audience, this book is written in thirteen ready-to-teach sections organized in four parts: TESSELLATIONS, COMPLEXES, HOMOLOGY, PERSISTENCE. To speak to the non-specialist, detailed formalisms are often avoided in favor of lively 2- and 3-dimensional illustrations. The book is warmly recommended to everybody who loves geometry and the fascinating world of shapes. 
650 0 |a Computer mathematics. 
650 0 |a Manifolds (Mathematics). 
650 0 |a Complex manifolds. 
650 0 |a Biomedical engineering. 
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