A Short Course in Computational Geometry and Topology

• Κύριος συγγραφέας: Edelsbrunner, Herbert (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: SpringerBriefs in Applied Sciences and Technology,
• Θέματα: Mathematics.; Computer mathematics.; Manifolds (Mathematics).; Complex manifolds.; Biomathematics.; Biomedical engineering.; Computational Science and Engineering.; Manifolds and Cell Complexes (incl. Diff.Topology).; Biomedical Engineering.; Mathematical and Computational Biology.

 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. 

 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.