A Short Course in Computational Geometry and Topology
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...
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| Language: | English |
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Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| Edition: | 1st ed. 2014. |
| Series: | SpringerBriefs in Mathematical Methods,
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| Online Access: | https://doi.org/10.1007/978-3-319-05957-0 |
Table of 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.