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
Binding Type: Paperback
Publisher: Springer
Published: 05/12/2014
Series: Springerbriefs in Applied Sciences and Technology / Springer
Pages: 110
Weight: 0.4lbs
Size: 8.90h x 5.90w x 0.30d
ISBN: 9783319059563
2014 Edition