03080nam 22006855 450 991030015520332120251117074723.03-319-05957-210.1007/978-3-319-05957-0(CKB)3710000000105754(EBL)1731092(OCoLC)879343648(SSID)ssj0001205063(PQKBManifestationID)11683159(PQKBTitleCode)TC0001205063(PQKBWorkID)11198542(PQKB)10133525(MiAaPQ)EBC1731092(DE-He213)978-3-319-05957-0(PPN)178318914(EXLCZ)99371000000010575420140428d2014 u| 0engur|n|---|||||txtccrA Short Course in Computational Geometry and Topology /by Herbert Edelsbrunner1st ed. 2014.Cham :Springer International Publishing :Imprint: Springer,2014.1 online resource (105 p.)SpringerBriefs in Mathematical Methods,2365-0834Description based upon print version of record.3-319-05956-4 Includes bibliographical references.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.SpringerBriefs in Mathematical Methods,2365-0834MathematicsData processingManifolds (Mathematics)Biomedical engineeringBiomathematicsComputational Science and EngineeringManifolds and Cell ComplexesBiomedical Engineering and BioengineeringMathematical and Computational BiologyMathematicsData processing.Manifolds (Mathematics)Biomedical engineering.Biomathematics.Computational Science and Engineering.Manifolds and Cell Complexes.Biomedical Engineering and Bioengineering.Mathematical and Computational Biology.516Edelsbrunner Herbertauthttp://id.loc.gov/vocabulary/relators/aut532684BOOK9910300155203321Short course in computational geometry and topology1410306UNINA