Research in Computational Topology
Editors: Chambers, Erin, Fasy, Brittany, Ziegelmeier, Lori (Eds.)
Free Preview- Presents research from the first Workshop for Women in Computational Topology
- Covers many applications in graphics, medical imaging, materials engineering, and GIS
- Accessible to researchers in computational topology, statistics, computational biology, and machine learning
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- About this book
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Based on the first Workshop for Women in Computational Topology that took place in 2016, this volume assembles new research and applications in computational topology. Featured articles range over the breadth of the discipline, including topics such as surface reconstruction, topological data analysis, persistent homology, algorithms, and surface-embedded graphs. Applications in graphics, medical imaging, and GIS are discussed throughout the book. Four of the papers in this volume are the product of working groups that were established and developed during the workshop. Additional papers were also solicited from the broader Women in Computational Topology network. The volume is accessible to a broad range of researchers, both within the field of computational topology and in related disciplines such as statistics, computational biology, and machine learning.
- About the authors
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Erin Chambers is an Associate Professor at Saint Louis University.Brittany Terese Fasy is an Assistant Professor and Gianforte Faculty Fellow at Montana State University.Lori Ziegelmeier is an Assistant Professor at Macalester College.
- Table of contents (10 chapters)
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The Rank Invariant Stability via Interleavings
Pages 1-10
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Persistent Homology over Directed Acyclic Graphs
Pages 11-32
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A Complete Characterization of the One-Dimensional Intrinsic Čech Persistence Diagrams for Metric Graphs
Pages 33-56
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Comparing Directed and Weighted Road Maps
Pages 57-70
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Sweeping Costs of Planar Domains
Pages 71-92
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Table of contents (10 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Research in Computational Topology
- Editors
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- Erin Chambers
- Brittany Fasy
- Lori Ziegelmeier
- Series Title
- Association for Women in Mathematics Series
- Series Volume
- 13
- Copyright
- 2018
- Publisher
- Springer International Publishing
- Copyright Holder
- The Author(s) and the Association for Women in Mathematics
- eBook ISBN
- 978-3-319-89593-2
- DOI
- 10.1007/978-3-319-89593-2
- Hardcover ISBN
- 978-3-319-89592-5
- Series ISSN
- 2364-5733
- Edition Number
- 1
- Number of Pages
- XIV, 202
- Number of Illustrations
- 21 b/w illustrations, 77 illustrations in colour
- Topics
