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Documents authored by Guibas, Leonidas J.

Document
DOI: 10.4230/DagRep.7.1.1
Functoriality in Geometric Data (Dagstuhl Seminar 17021)

Authors: Mirela Ben-Chen, Frédéderic Chazal, Leonidas J. Guibas, and Maks Ovsjanikov

Published in: Dagstuhl Reports, Volume 7, Issue 1 (2017)

Abstract
This report provides an overview of the talks at the Dagstuhl Seminar 17021 "Functoriality in Geometric Data". The seminar brought together researchers interested in the fundamental questions of similarity and correspondence across geometric data sets, which include collections of GPS traces, images, 3D shapes and other types of geometric data. A recent trend, emerging independently in multiple theoretical and applied communities, is to understand networks of geometric data sets through their relations and interconnections, a point of view that can be broadly described as exploiting the functoriality of data, which has a long tradition associated with it in mathematics. Functoriality, in its broadest form, is the notion that in dealing with any kind of mathematical object, it is at least as important to understand the transformations or symmetries possessed by the object or the family of objects to which it belongs, as it is to study the object itself. This general idea has led to deep insights into the structure of various geometric spaces as well as to state-of-the-art methods in various application domains. The talks spanned a wide array of subjects under the common theme of functoriality, including: the analysis of geometric collections, optimal transport for geometric datasets, deep learning applications and many more.
Cite as

Mirela Ben-Chen, Frédéderic Chazal, Leonidas J. Guibas, and Maks Ovsjanikov. Functoriality in Geometric Data (Dagstuhl Seminar 17021). In Dagstuhl Reports, Volume 7, Issue 1, pp. 1-18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)

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@Article{benchen_et_al:DagRep.7.1.1,
  author =	{Ben-Chen, Mirela and Chazal, Fr\'{e}d\'{e}deric and Guibas, Leonidas J. and Ovsjanikov, Maks},
  title =	{{Functoriality in Geometric Data (Dagstuhl Seminar 17021)}},
  pages =	{1--18},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2017},
  volume =	{7},
  number =	{1},
  editor =	{Ben-Chen, Mirela and Chazal, Fr\'{e}d\'{e}deric and Guibas, Leonidas J. and Ovsjanikov, Maks},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagRep.7.1.1},
  URN =		{urn:nbn:de:0030-drops-71484},
  doi =		{10.4230/DagRep.7.1.1},
  annote =	{Keywords: computational geometry, data analysis, geometry processing}
}
Document
DOI: 10.4230/DagSemProc.05381.1
05381 Abstracts Collection – Form and Content in Sensor Networks

Authors: Leonidas J. Guibas, Uwe D. Hanebeck, and Thomas C. Henderson

Published in: Dagstuhl Seminar Proceedings, Volume 5381, Form and Content in Sensor Networks (2006)

Abstract
From 18.09.05 to 23.09.05, the Dagstuhl Seminar 05381 ``Form and Content in Sensor Networks'' was held in the International Conference and Research Center (IBFI), Schloss Dagstuhl. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The first section describes the seminar topics and goals in general. Links to extended abstracts or full papers are provided, if available.
Cite as

Leonidas J. Guibas, Uwe D. Hanebeck, and Thomas C. Henderson. 05381 Abstracts Collection – Form and Content in Sensor Networks. In Form and Content in Sensor Networks. Dagstuhl Seminar Proceedings, Volume 5381, pp. 1-11, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{guibas_et_al:DagSemProc.05381.1,
  author =	{Guibas, Leonidas J. and Hanebeck, Uwe D. and Henderson, Thomas C.},
  title =	{{05381 Abstracts Collection – Form and Content in Sensor Networks}},
  booktitle =	{Form and Content in Sensor Networks},
  pages =	{1--11},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{5381},
  editor =	{Leonidas Guibas and Uwe D. Hanebeck and Thomas C. Henderson},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.05381.1},
  URN =		{urn:nbn:de:0030-drops-7555},
  doi =		{10.4230/DagSemProc.05381.1},
  annote =	{Keywords: Sensors, signal processing, sensor networks, intelligent systems, sensor data processing}
}
Document
DOI: 10.4230/DagSemProc.05381.2
05381 Executive Summary – Form and Content in Sensor Networks

Authors: Leonidas J. Guibas, Uwe D. Hanebeck, and Thomas C. Henderson

Published in: Dagstuhl Seminar Proceedings, Volume 5381, Form and Content in Sensor Networks (2006)

Abstract
From the September 18th until September 23rd, 2005 a Dagstuhl Seminar took place with the topic "Form and Content in Sensor Networks". 26 participants from four different countries, which are experts in sensor networks from the topics information processing, communication and robotics, presented current state of the art in the field of algorithm for sensor networks and how content and structure impact information processing in the networks. The presentations ranged from very theoretical computational models and algorithms to prototype implementations for monitoring the environment.
Cite as

Leonidas J. Guibas, Uwe D. Hanebeck, and Thomas C. Henderson. 05381 Executive Summary – Form and Content in Sensor Networks. In Form and Content in Sensor Networks. Dagstuhl Seminar Proceedings, Volume 5381, pp. 1-4, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{guibas_et_al:DagSemProc.05381.2,
  author =	{Guibas, Leonidas J. and Hanebeck, Uwe D. and Henderson, Thomas C.},
  title =	{{05381 Executive Summary – Form and Content in Sensor Networks}},
  booktitle =	{Form and Content in Sensor Networks},
  pages =	{1--4},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{5381},
  editor =	{Leonidas Guibas and Uwe D. Hanebeck and Thomas C. Henderson},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.05381.2},
  URN =		{urn:nbn:de:0030-drops-7544},
  doi =		{10.4230/DagSemProc.05381.2},
  annote =	{Keywords: Sensors, signal processing, sensor networks, intelligent systems, sensor data processing}
}
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