Description - Topology for Computing by Afra J. Zomorodian
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, computer-aided 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 non-specialist to grasp and participate in current research in computational topology. The author gives a self-contained 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.
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(228mm x 152mm x 16mm)
Cambridge University Press
Publisher: Cambridge University Press
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Author Biography - Afra J. Zomorodian
Afra J. Zomorodian is a Post-Doctoral Research Affiliate at the Computer Science Department at Stanford University and a guest researcher at the Max-Planck-Institut 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.