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DOI: 10.4230/LIPIcs.SOCG.2015.23

Visualizing Sparse Filtrations

Authors: Nicholas J. Cavanna, Mahmoodreza Jahanseir, and Donald R. Sheehy

Published in: LIPIcs, Volume 34, 31st International Symposium on Computational Geometry (SoCG 2015)

Abstract

Over the last few years, there have been several approaches to building sparser complexes that still give good approximations to the persistent homology. In this video, we have illustrated a geometric perspective on sparse filtrations that leads to simpler proofs, more general theorems, and a more visual explanation. We hope that as these techniques become easier to understand, they will also become easier to use.

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Nicholas J. Cavanna, Mahmoodreza Jahanseir, and Donald R. Sheehy. Visualizing Sparse Filtrations. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 23-25, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)

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@InProceedings{cavanna_et_al:LIPIcs.SOCG.2015.23,
  author =	{Cavanna, Nicholas J. and Jahanseir, Mahmoodreza and Sheehy, Donald R.},
  title =	{{Visualizing Sparse Filtrations}},
  booktitle =	{31st International Symposium on Computational Geometry (SoCG 2015)},
  pages =	{23--25},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-83-5},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{34},
  editor =	{Arge, Lars and Pach, J\'{a}nos},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.23},
  URN =		{urn:nbn:de:0030-drops-50893},
  doi =		{10.4230/LIPIcs.SOCG.2015.23},
  annote =	{Keywords: Topological Data Analysis, Simplicial Complexes, Persistent Homology}
}

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Visualizing Sparse Filtrations

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