The emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields. Recent applications include computer graphics, computeraided design (CAD), and structural biology, all of which involve understanding the intrinsic shape of some real or abstract space. A primary goal of this book is to present basic concepts from topology and Morse theory to enable a nonspecialist to grasp and participate in current research in computational topology. The author gives a selfcontained presentation of the mathematical concepts from a computer scientist's point of view, combining point set topology, algebraic topology, group theory, differential manifolds, and Morse theory. He also presents some recent advances in the area, including topological persistence and hierarchical Morse complexes. Throughout, the focus is on computational challenges and on presenting algorithms and data structures when appropriate.
About Afra J. Zomorodian
Afra J. Zomorodian is an assistant professor in the Department of Computer Science at Dartmouth College. He is a former PostDoctoral Fellow in BioX and the Department of Computer Science at Stanford University and has been a researcher at the MaxPlanckInstitut fur Informatik in Saarbrucken, Germany. Using the material contained in this book, he has organized classes on computational topology at Stanford University, the MPI, and Dartmouth College.Details Book
Author  :  Afra J. Zomorodian 
Publisher  :  Cambridge University Press 
Data Published  :  31 October 2009 
ISBN  :  0521136091 
EAN  :  9780521136099 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  258 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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