A Short Course in Computational Geometry and Topology [electronic resource] / by Herbert Edelsbrunner.

By: Edelsbrunner, Herbert [author.]Contributor(s): SpringerLink (Online service)Material type: TextTextSeries: SpringerBriefs in Applied Sciences and TechnologyPublisher: Cham : Springer International Publishing : Imprint: Springer, 2014Description: IX, 110 p. 64 illus., 60 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319059570Subject(s): Mathematics | Computer mathematics | Manifolds (Mathematics) | Complex manifolds | Biomathematics | Biomedical engineering | Mathematics | Computational Science and Engineering | Manifolds and Cell Complexes (incl. Diff.Topology) | Biomedical Engineering | Mathematical and Computational BiologyAdditional physical formats: Printed edition:: No titleDDC classification: 004 LOC classification: QA71-90Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
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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.

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.

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