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 a PostDoctoral Research Affiliate at the Computer Science Department at Stanford University and a guest researcher at the MaxPlanckInstitut fuer Informatik in Saarbruecken, Germany. In Fall 2002 he organized a class on computational topology at Stanford University using the material contained in this book.Details Book
Author  :  Afra J. Zomorodian 
Publisher  :  Cambridge University Press 
Data Published  :  10 January 2005 
ISBN  :  0521836662 
EAN  :  9780521836661 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  258 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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