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 indispensable for applications, e.g. shape reconstruction. The target audience comprises researchers and practitioners in mathematics, biology, neuroscience and computer science, but the book may also be beneficial to graduate students of these fields.
- ISBN13 9783319059563
- Publish Date 12 May 2014 (first published 1 January 2014)
- Publish Status Active
- Publish Country CH
- Imprint Springer International Publishing AG
- Format Paperback
- Pages 110
- Language English