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Documents authored by Day, Carmen Isabel


Artifact
Software
Software For the Thompson and Funk Geometry

Authors: Hridhaan Banerjee, Carmen Isabel Day, Auguste H. Gezalyan, Olga Golovatskaia, Megan Hunleth, Sarah Hwang, Nithin Parepally, Lucy Wang, and David M. Mount


Abstract

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Hridhaan Banerjee, Carmen Isabel Day, Auguste H. Gezalyan, Olga Golovatskaia, Megan Hunleth, Sarah Hwang, Nithin Parepally, Lucy Wang, David M. Mount. Software For the Thompson and Funk Geometry (Software, Source Code). Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)


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@misc{dagstuhl-artifact-23291,
   title = {{Software For the Thompson and Funk Geometry}}, 
   author = {Banerjee, Hridhaan and Day, Carmen Isabel and Gezalyan, Auguste H. and Golovatskaia, Olga and Hunleth, Megan and Hwang, Sarah and Parepally, Nithin and Wang, Lucy and Mount, David M.},
   note = {Software, swhId: \href{https://archive.softwareheritage.org/swh:1:dir:074df2e40eb974083f969981c7b82f83a059488b;origin=https://github.com/nithin1527/funk-geo-visualizer;visit=swh:1:snp:e75b8a08dc088518d55d404013d3f75417e891e7;anchor=swh:1:rev:1d259b6d2d7bb2d3c8f23ee785fde413d9a38430}{\texttt{swh:1:dir:074df2e40eb974083f969981c7b82f83a059488b}} (visited on 2025-06-20)},
   url = {https://github.com/nithin1527/funk-geo-visualizer},
   doi = {10.4230/artifacts.23291},
}
Document
Media Exposition
Software for the Thompson and Funk Polygonal Geometry (Media Exposition)

Authors: Hridhaan Banerjee, Carmen Isabel Day, Auguste H. Gezalyan, Olga Golovatskaia, Megan Hunleth, Sarah Hwang, Nithin Parepally, Lucy Wang, and David M. Mount

Published in: LIPIcs, Volume 332, 41st International Symposium on Computational Geometry (SoCG 2025)


Abstract
Metric spaces defined within convex polygons, such as the Thompson, Funk, reverse Funk, and Hilbert metrics, are subjects of recent exploration and study in computational geometry. This paper contributes an educational piece of software for understanding these unique geometries while also providing a tool to support their research. We provide dynamic software for manipulating the Funk, reverse Funk, and Thompson balls in convex polygonal domains. Additionally, we provide a visualization program for traversing the Hilbert polygonal geometry.

Cite as

Hridhaan Banerjee, Carmen Isabel Day, Auguste H. Gezalyan, Olga Golovatskaia, Megan Hunleth, Sarah Hwang, Nithin Parepally, Lucy Wang, and David M. Mount. Software for the Thompson and Funk Polygonal Geometry (Media Exposition). In 41st International Symposium on Computational Geometry (SoCG 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 332, pp. 82:1-82:6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)


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@InProceedings{banerjee_et_al:LIPIcs.SoCG.2025.82,
  author =	{Banerjee, Hridhaan and Day, Carmen Isabel and Gezalyan, Auguste H. and Golovatskaia, Olga and Hunleth, Megan and Hwang, Sarah and Parepally, Nithin and Wang, Lucy and Mount, David M.},
  title =	{{Software for the Thompson and Funk Polygonal Geometry}},
  booktitle =	{41st International Symposium on Computational Geometry (SoCG 2025)},
  pages =	{82:1--82:6},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-370-6},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{332},
  editor =	{Aichholzer, Oswin and Wang, Haitao},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2025.82},
  URN =		{urn:nbn:de:0030-drops-232349},
  doi =		{10.4230/LIPIcs.SoCG.2025.82},
  annote =	{Keywords: Thompson metric, Hilbert metric, Funk metric, balls}
}
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