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A Short Course in Computational Geometry and Topology
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A Short Course in Computational Geometry and Topology

it was amazing 5.0  ·  Rating Details ·  1 Rating  ·  1 Review
This monograph presents a short course in computational geometry and topology. In the first part the book covers Voronoi diagrams and Delaunay triangulations, then it presents the theory of alpha complexes which play a crucial role in biology. The central part of the book is the homology theory and their computation, including the theory of persistence which is ...more
Paperback, 110 pages
Published May 12th 2014 by Springer
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Kevin K. Gillette
Jun 07, 2016 Kevin K. Gillette rated it it was amazing
Recently I've begun to explore the nuts and bolts of a new type of data analysis called "topological data analysis" (TDA). The basis of TDA is that there natural shapes that high-dimensional data can be mapped to, which permit rather unusual and interesting connections - e.g., clusters - to emerge in a manner that is reminiscent of the notion of "dimension" (both the Hausdorff and the fractal sense).

To work with TDA computationally, a background in algebraic topology is necessary. More concrete

Richard Cole
Richard Cole marked it as to-read
Feb 20, 2016
Liam marked it as to-read
Jun 14, 2016
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