A Short Course in Computational Geometry and Topology (Paperback) (ISBN-13: 9783319059563)

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.

Author: Herbert Edelsbrunner
ISBN-10: 3319059564
ISBN-13: 9783319059563
Publisher: Springer
Language: English
Published: 05/12/2014
Pages: 110
Format: Paperback
Weight: 0.40lbs
Size: 8.90h x 5.90w x 0.30d