TY  - BOOK
AU  - Edelsbrunner,Herbert
ED  - SpringerLink (Online service)
TI  - A Short Course in Computational Geometry and Topology
T2  - SpringerBriefs in Applied Sciences and Technology,
SN  - 9783319059570
AV  - QA71-90 
U1  - 004 23
PY  - 2014///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Mathematics
KW  - Computer mathematics
KW  - Manifolds (Mathematics)
KW  - Complex manifolds
KW  - Biomathematics
KW  - Biomedical engineering
KW  - Computational Science and Engineering
KW  - Manifolds and Cell Complexes (incl. Diff.Topology)
KW  - Biomedical Engineering
KW  - Mathematical and Computational Biology
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-319-05957-0
ER  -