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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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Previews available in: English Undetermined
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Topology for Computing (Cambridge Monographs on Applied and Computational Mathematics)
January 10, 2005, Cambridge University Press
Hardcover
in English
0521836662 9780521836661
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TOPOLOGY FOR COMPUTING.
2005, CAMBRIDGE UNIV PRESS, Cambridge University Press
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0521836662 9780521836661
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- Created November 17, 2008
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July 23, 2023 | Edited by ImportBot | import existing book |
March 8, 2023 | Edited by MARC Bot | import existing book |
October 7, 2022 | Edited by Drini | merge authors |
October 7, 2022 | Edited by Drini | Merge works |
November 17, 2008 | Created by ImportBot | Imported from University of Toronto MARC record |