© 2018
Research in Computational Topology
- Editors
- [view affiliations]
- Erin WolfChambers
- Brittany TereseFasy
- LoriZiegelmeier
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
Book
- 15 Citations
- 8 Mentions
- 6.5k Downloads
Part of the Association for Women in Mathematics Series book series [AWMS, volume 13]
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- Chapters Table of contents [10 chapters]
- About About this book
Table of contents
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- Front MatterPages i-xivPDF
- The Rank Invariant Stability via InterleavingsClaudia LandiPages 1-10
- Persistent Homology over Directed Acyclic GraphsErin Wolf Chambers, David LetscherPages 11-32
- A Complete Characterization of the One-Dimensional Intrinsic Čech Persistence Diagrams for Metric GraphsEllen Gasparovic, Maria Gommel, Emilie Purvine, Radmila Sazdanovic, Bei Wang, Yusu Wang et al.Pages 33-56
- Comparing Directed and Weighted Road MapsAlyson Bittner, Brittany Terese Fasy, Maia Grudzien, Sayonita Ghosh Hajra, Jici Huang, Kristine Pelatt et al.Pages 57-70
- Sweeping Costs of Planar DomainsBrooks Adams, Henry Adams, Colin RobertsPages 71-92
- Scaffoldings and Spines: Organizing High-Dimensional Data Using Cover Trees, Local Principal Component Analysis, and Persistent HomologyPaul Bendich, Ellen Gasparovic, John Harer, Christopher J. TraliePages 93-114
- Density of Local Maxima of the Distance Function to a Set of Points in the PlaneNina Amenta, Erin Wolf Chambers, Tegan Emerson, Rebecca Glover, Katharine Turner, Shirley YapPages 115-123
- Mind the Gap: A Study in Global Development Through Persistent HomologyAndrew Banman, Lori ZiegelmeierPages 125-144
- Cluster Identification via Persistent Homology and Other Clustering Techniques, with Application to Liver Transplant DataBerhanu A. Wubie, Axel Andres, Russell Greiner, Bret Hoehn, Aldo Montano-Loza, Norman Kneteman et al.Pages 145-177
- Pseudo-Multidimensional Persistence and Its ApplicationsCatalina Betancourt, Mathieu Chalifour, Rachel Neville, Matthew Pietrosanu, Mimi Tsuruga, Isabel Darcy et al.Pages 179-202
About this book
Introduction
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.
Keywords
Computational Topology Data Analysis Metric Graphs Network Analysis Persistence Profiles Workshop Rank invariant stability scaffoldings and spines planar domains Pseudo-multidimensional persistence persistent homology WinCompTop
Editors and affiliations
- Erin WolfChambers
- 1
- Brittany TereseFasy
- 2
- LoriZiegelmeier
- 3
- 1.Department of Computer ScienceSt Louis UniversitySt LouisUSA
- 2.Gianforte School of Computing, and Department of Mathematical SciencesMontana State UniversityBozemanUSA
- 3.Department of Mathematics, Statistics, & Computer ScienceMacalester CollegeSaint PaulUSA
About the editors
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.
Bibliographic information
- Book Title Research in Computational Topology
- Editors Erin Wolf Chambers
Brittany Terese Fasy
Lori Ziegelmeier - Series Title Association for Women in Mathematics Series
- Series Abbreviated Title Association for Women in Mathematics Series
- DOI //doi.org/10.1007/978-3-319-89593-2
- Copyright Information The Author[s] and the Association for Women in Mathematics 2018
- Publisher Name Springer, Cham
- eBook Packages Mathematics and Statistics Mathematics and Statistics [R0]
- Hardcover ISBN 978-3-319-89592-5
- Softcover ISBN 978-3-030-07810-2
- eBook ISBN 978-3-319-89593-2
- Series ISSN 2364-5733
- Series E-ISSN 2364-5741
- Edition Number 1
- Number of Pages XIV, 202
- Number of Illustrations 21 b/w illustrations, 77 illustrations in colour
- Topics Topology
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