Skip to main content
SpringerLink
Log in

Research in Computational Topology

  • Book
  • © 2018

Overview

Editors:
  1. Erin Wolf Chambers

    1. Department of Computer Science, St Louis University, St Louis, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Brittany Terese Fasy

    1. Gianforte School of Computing, and Department of Mathematical Sciences, Montana State University, Bozeman, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Lori Ziegelmeier

    1. Department of Mathematics, Statistics, & Computer Science, Macalester College, Saint Paul, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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

Part of the book series: Association for Women in Mathematics Series (AWMS, volume 13)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. The Rank Invariant Stability via Interleavings

    • Claudia Landi
    Pages 1-10

  3. Persistent Homology over Directed Acyclic Graphs

    • Erin Wolf Chambers, David Letscher
    Pages 11-32

  4. A Complete Characterization of the One-Dimensional Intrinsic Čech Persistence Diagrams for Metric Graphs

    • Ellen Gasparovic, Maria Gommel, Emilie Purvine, Radmila Sazdanovic, Bei Wang, Yusu Wang et al.
    Pages 33-56

  5. Comparing Directed and Weighted Road Maps

    • Alyson Bittner, Brittany Terese Fasy, Maia Grudzien, Sayonita Ghosh Hajra, Jici Huang, Kristine Pelatt et al.
    Pages 57-70

  6. Sweeping Costs of Planar Domains

    • Brooks Adams, Henry Adams, Colin Roberts
    Pages 71-92

  7. Scaffoldings and Spines: Organizing High-Dimensional Data Using Cover Trees, Local Principal Component Analysis, and Persistent Homology

    • Paul Bendich, Ellen Gasparovic, John Harer, Christopher J. Tralie
    Pages 93-114

  8. Density of Local Maxima of the Distance Function to a Set of Points in the Plane

    • Nina Amenta, Erin Wolf Chambers, Tegan Emerson, Rebecca Glover, Katharine Turner, Shirley Yap
    Pages 115-123

  9. Mind the Gap: A Study in Global Development Through Persistent Homology

    • Andrew Banman, Lori Ziegelmeier
    Pages 125-144

  10. Cluster Identification via Persistent Homology and Other Clustering Techniques, with Application to Liver Transplant Data

    • Berhanu A. Wubie, Axel Andres, Russell Greiner, Bret Hoehn, Aldo Montano-Loza, Norman Kneteman et al.
    Pages 145-177

  11. Pseudo-Multidimensional Persistence and Its Applications

    • Catalina Betancourt, Mathieu Chalifour, Rachel Neville, Matthew Pietrosanu, Mimi Tsuruga, Isabel Darcy et al.
    Pages 179-202
Back to top

Keywords

About this book

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. 

Editors and Affiliations

  • Department of Computer Science, St Louis University, St Louis, USA

    Erin Wolf Chambers

  • Gianforte School of Computing, and Department of Mathematical Sciences, Montana State University, Bozeman, USA

    Brittany Terese Fasy

  • Department of Mathematics, Statistics, & Computer Science, Macalester College, Saint Paul, USA

    Lori Ziegelmeier

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

  • DOI: https://doi.org/10.1007/978-3-319-89593-2

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Author(s) and the Association for Women in Mathematics 2018

  • Hardcover ISBN: 978-3-319-89592-5Published: 13 August 2018

  • Softcover ISBN: 978-3-030-07810-2Published: 26 January 2019

  • eBook ISBN: 978-3-319-89593-2Published: 30 July 2018

  • 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

Publish with us

Policies and ethics

Back to top

Search

Navigation