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Research in Computational Topology

  • Erin Wolf Chambers
  • Brittany Terese Fasy
  • Lori Ziegelmeier

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

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Erin Wolf Chambers, David Letscher
    Pages 11-32
  3. Ellen Gasparovic, Maria Gommel, Emilie Purvine, Radmila Sazdanovic, Bei Wang, Yusu Wang et al.
    Pages 33-56
  4. Alyson Bittner, Brittany Terese Fasy, Maia Grudzien, Sayonita Ghosh Hajra, Jici Huang, Kristine Pelatt et al.
    Pages 57-70
  5. Brooks Adams, Henry Adams, Colin Roberts
    Pages 71-92
  6. Nina Amenta, Erin Wolf Chambers, Tegan Emerson, Rebecca Glover, Katharine Turner, Shirley Yap
    Pages 115-123
  7. Andrew Banman, Lori Ziegelmeier
    Pages 125-144
  8. Berhanu A. Wubie, Axel Andres, Russell Greiner, Bret Hoehn, Aldo Montano-Loza, Norman Kneteman et al.
    Pages 145-177
  9. Catalina 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 Wolf Chambers
    • 1
  • Brittany Terese Fasy
    • 2
  • Lori Ziegelmeier
    • 3
  1. 1.Department of Computer ScienceSt Louis UniversitySt LouisUSA
  2. 2.Gianforte School of Computing, and Department of Mathematical SciencesMontana State UniversityBozemanUSA
  3. 3.Department of Mathematics, Statistics, & Computer ScienceMacalester CollegeSaint PaulUSA

Bibliographic information

  • DOI https://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
  • Print ISBN 978-3-319-89592-5
  • Online ISBN 978-3-319-89593-2
  • Series Print ISSN 2364-5733
  • Series Online ISSN 2364-5741
  • Buy this book on publisher's site