A Short Course in Computational Geometry and Topology
Edelsbrunner, Herbert.
A Short Course in Computational Geometry and Topology [electronic resource] / by Herbert Edelsbrunner. - IX, 110 p. 64 illus., 60 illus. in color. online resource. - SpringerBriefs in Applied Sciences and Technology, 2191-530X . - SpringerBriefs in Applied Sciences and Technology, .
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.
9783319059570
10.1007/978-3-319-05957-0 doi
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 Biology.
QA71-90
004
A Short Course in Computational Geometry and Topology [electronic resource] / by Herbert Edelsbrunner. - IX, 110 p. 64 illus., 60 illus. in color. online resource. - SpringerBriefs in Applied Sciences and Technology, 2191-530X . - SpringerBriefs in Applied Sciences and Technology, .
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.
9783319059570
10.1007/978-3-319-05957-0 doi
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 Biology.
QA71-90
004