InforLorV4, Main, Merge, bibRecord, 000300

Smoothed complexity of convex hulls by witnesses and collectors

Identifieur interne : 000300 ( Main/Merge ); précédent : 000299; suivant : 000301

Smoothed complexity of convex hulls by witnesses and collectors

Auteurs : Olivier Devillers [France] ; Marc Glisse [France] ; Xavier Goaoc [France] ; Rémy Thomasse [France]

Source :

RBID : Hal:hal-01214021

English descriptors

mix :
- Gaussian noise, Probabilistic analysis, Worst-case analysis.

Abstract

We present a simple technique for analyzing the size of geometric hypergraphs defined by random point sets. As an application we obtain upper and lower bounds on the smoothed number of faces of the convex hull under Euclidean and Gaussian noise and related results.

Url:

https://hal.inria.fr/hal-01214021

Links toward previous steps (curation, corpus...)

to stream Hal, to step Corpus: 004605
to stream Hal, to step Curation: 004605
to stream Hal, to step Checkpoint: 000274

Links to Exploration step

Hal:hal-01214021

Le document en format XML

<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Smoothed complexity of convex hulls by witnesses and collectors</title>
<title xml:lang="fr">Analyse lissée des enveloppes convexes par témoins et collecteurs</title>
<author><name sortKey="Devillers, Olivier" sort="Devillers, Olivier" uniqKey="Devillers O" first="Olivier" last="Devillers">Olivier Devillers</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-205129" status="VALID"><idno type="RNSR">200518305E</idno>
<orgName>Effective Geometric Algorithms for Surfaces and Visibility</orgName>
<orgName type="acronym">VEGAS</orgName>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/equipes/vegas</ref>
</desc>
<listRelation><relation active="#struct-129671" type="direct"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-423083" type="direct"></relation>
<relation active="#struct-206040" type="indirect"></relation>
<relation active="#struct-413289" type="indirect"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
</listRelation>
<tutelles><tutelle active="#struct-129671" type="direct"><org type="laboratory" xml:id="struct-129671" status="VALID"><idno type="RNSR">198618246Y</idno>
<orgName>INRIA Nancy - Grand Est</orgName>
<desc><address><addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/nancy</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect"><org type="institution" xml:id="struct-300009" status="VALID"><orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc><address><addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-423083" type="direct"><org type="department" xml:id="struct-423083" status="VALID"><orgName>Department of Algorithms, Computation, Image and Geometry</orgName>
<orgName type="acronym">LORIA - ALGO</orgName>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr/la-recherche-en/departements/algorithmics</ref>
</desc>
<listRelation><relation active="#struct-206040" type="direct"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-413289" type="indirect"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-206040" type="indirect"><org type="laboratory" xml:id="struct-206040" status="VALID"><idno type="IdRef">067077927</idno>
<idno type="RNSR">198912571S</idno>
<idno type="IdUnivLorraine">[UL]RSI--</idno>
<orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName>
<orgName type="acronym">LORIA</orgName>
<date type="start">2012-01-01</date>
<desc><address><addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
<relation active="#struct-413289" type="direct"></relation>
<relation name="UMR7503" active="#struct-441569" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-413289" type="indirect"><org type="institution" xml:id="struct-413289" status="VALID"><idno type="IdRef">157040569</idno>
<idno type="IdUnivLorraine">[UL]100--</idno>
<orgName>Université de Lorraine</orgName>
<orgName type="acronym">UL</orgName>
<date type="start">2012-01-01</date>
<desc><address><addrLine>34 cours Léopold - CS 25233 - 54052 Nancy cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.univ-lorraine.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName><settlement type="city">Nancy</settlement>
<settlement type="city">Metz</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université de Lorraine</orgName>
</affiliation>
</author>
<author><name sortKey="Glisse, Marc" sort="Glisse, Marc" uniqKey="Glisse M" first="Marc" last="Glisse">Marc Glisse</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-56048" status="VALID"><idno type="RNSR">200318408A</idno>
<orgName>Geometric computing</orgName>
<orgName type="acronym">GEOMETRICA</orgName>
<desc><address><addrLine>2004 route des Lucioles BP 93 F-06902 Sophia Antipolis (France) / Bât Alan Turing, Campus de l'Ecole Polytechnique, 1 rue Honoré d'Estienne d'orves, 91120 Palaiseau (France)</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www-sop.inria.fr/geometrica/</ref>
</desc>
<listRelation><relation active="#struct-34586" type="direct"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-118511" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-34586" type="direct"><org type="laboratory" xml:id="struct-34586" status="VALID"><idno type="RNSR">198318250R</idno>
<orgName>Inria Sophia Antipolis - Méditerranée </orgName>
<orgName type="acronym">CRISAM</orgName>
<desc><address><addrLine>2004 route des Lucioles BP 93 06902 Sophia Antipolis</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre/sophia/</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect"><org type="institution" xml:id="struct-300009" status="VALID"><orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc><address><addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-118511" type="direct"><org type="laboratory" xml:id="struct-118511" status="VALID"><idno type="RNSR">200818248E</idno>
<orgName>INRIA Saclay - Ile de France</orgName>
<desc><address><addrLine>1 rue Honoré d'Estienne d'OrvesBâtiment Alan TuringCampus de l'École Polytechnique91120 Palaiseau</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre/saclay</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
<author><name sortKey="Goaoc, Xavier" sort="Goaoc, Xavier" uniqKey="Goaoc X" first="Xavier" last="Goaoc">Xavier Goaoc</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-3210" status="VALID"><idno type="RNSR">200212717U</idno>
<orgName>Laboratoire d'Informatique Gaspard-Monge</orgName>
<orgName type="acronym">LIGM</orgName>
<desc><address><addrLine>Université de Paris-Est - Marne-la-Vallée, Cité Descartes, Bâtiment Copernic, 5 bd Descartes, 77454 Marne-la-Vallée Cedex 2, Inst Gaspard Monge</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://ligm.u-pem.fr</ref>
</desc>
<listRelation><relation active="#struct-301243" type="direct"></relation>
<relation active="#struct-301545" type="direct"></relation>
<relation active="#struct-302085" type="direct"></relation>
<relation active="#struct-304949" type="direct"></relation>
<relation name="UMR8049" active="#struct-441569" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-301243" type="direct"><org type="institution" xml:id="struct-301243" status="VALID"><orgName>Université Paris-Est Marne-la-Vallée</orgName>
<orgName type="acronym">UPEM</orgName>
<desc><address><addrLine>5 boulevard Descartes - Champs-sur-Marne - 77454 Marne-la-Vallée Cedex2 </addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.u-pem.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-301545" type="direct"><org type="institution" xml:id="struct-301545" status="OLD"><orgName>École des Ponts ParisTech (ENPC)</orgName>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-302085" type="direct"><org type="institution" xml:id="struct-302085" status="VALID"><orgName>Fédération de Recherche Bézout</orgName>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-304949" type="direct"><org type="institution" xml:id="struct-304949" status="INCOMING"><orgName>ESIEE</orgName>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle name="UMR8049" active="#struct-441569" type="direct"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
<author><name sortKey="Thomasse, Remy" sort="Thomasse, Remy" uniqKey="Thomasse R" first="Rémy" last="Thomasse">Rémy Thomasse</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-56048" status="VALID"><idno type="RNSR">200318408A</idno>
<orgName>Geometric computing</orgName>
<orgName type="acronym">GEOMETRICA</orgName>
<desc><address><addrLine>2004 route des Lucioles BP 93 F-06902 Sophia Antipolis (France) / Bât Alan Turing, Campus de l'Ecole Polytechnique, 1 rue Honoré d'Estienne d'orves, 91120 Palaiseau (France)</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www-sop.inria.fr/geometrica/</ref>
</desc>
<listRelation><relation active="#struct-34586" type="direct"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-118511" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-34586" type="direct"><org type="laboratory" xml:id="struct-34586" status="VALID"><idno type="RNSR">198318250R</idno>
<orgName>Inria Sophia Antipolis - Méditerranée </orgName>
<orgName type="acronym">CRISAM</orgName>
<desc><address><addrLine>2004 route des Lucioles BP 93 06902 Sophia Antipolis</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre/sophia/</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect"><org type="institution" xml:id="struct-300009" status="VALID"><orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc><address><addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-118511" type="direct"><org type="laboratory" xml:id="struct-118511" status="VALID"><idno type="RNSR">200818248E</idno>
<orgName>INRIA Saclay - Ile de France</orgName>
<desc><address><addrLine>1 rue Honoré d'Estienne d'OrvesBâtiment Alan TuringCampus de l'École Polytechnique91120 Palaiseau</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre/saclay</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">HAL</idno>
<idno type="RBID">Hal:hal-01214021</idno>
<idno type="halId">hal-01214021</idno>
<idno type="halUri">https://hal.inria.fr/hal-01214021</idno>
<idno type="url">https://hal.inria.fr/hal-01214021</idno>
<date when="2015-10">2015-10</date>
<idno type="wicri:Area/Hal/Corpus">004605</idno>
<idno type="wicri:Area/Hal/Curation">004605</idno>
<idno type="wicri:Area/Hal/Checkpoint">000274</idno>
<idno type="wicri:explorRef" wicri:stream="Hal" wicri:step="Checkpoint">000274</idno>
<idno type="wicri:Area/Main/Merge">000300</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title xml:lang="en">Smoothed complexity of convex hulls by witnesses and collectors</title>
<title xml:lang="fr">Analyse lissée des enveloppes convexes par témoins et collecteurs</title>
<author><name sortKey="Devillers, Olivier" sort="Devillers, Olivier" uniqKey="Devillers O" first="Olivier" last="Devillers">Olivier Devillers</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-205129" status="VALID"><idno type="RNSR">200518305E</idno>
<orgName>Effective Geometric Algorithms for Surfaces and Visibility</orgName>
<orgName type="acronym">VEGAS</orgName>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/equipes/vegas</ref>
</desc>
<listRelation><relation active="#struct-129671" type="direct"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-423083" type="direct"></relation>
<relation active="#struct-206040" type="indirect"></relation>
<relation active="#struct-413289" type="indirect"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
</listRelation>
<tutelles><tutelle active="#struct-129671" type="direct"><org type="laboratory" xml:id="struct-129671" status="VALID"><idno type="RNSR">198618246Y</idno>
<orgName>INRIA Nancy - Grand Est</orgName>
<desc><address><addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/nancy</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect"><org type="institution" xml:id="struct-300009" status="VALID"><orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc><address><addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-423083" type="direct"><org type="department" xml:id="struct-423083" status="VALID"><orgName>Department of Algorithms, Computation, Image and Geometry</orgName>
<orgName type="acronym">LORIA - ALGO</orgName>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr/la-recherche-en/departements/algorithmics</ref>
</desc>
<listRelation><relation active="#struct-206040" type="direct"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-413289" type="indirect"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-206040" type="indirect"><org type="laboratory" xml:id="struct-206040" status="VALID"><idno type="IdRef">067077927</idno>
<idno type="RNSR">198912571S</idno>
<idno type="IdUnivLorraine">[UL]RSI--</idno>
<orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName>
<orgName type="acronym">LORIA</orgName>
<date type="start">2012-01-01</date>
<desc><address><addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
<relation active="#struct-413289" type="direct"></relation>
<relation name="UMR7503" active="#struct-441569" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-413289" type="indirect"><org type="institution" xml:id="struct-413289" status="VALID"><idno type="IdRef">157040569</idno>
<idno type="IdUnivLorraine">[UL]100--</idno>
<orgName>Université de Lorraine</orgName>
<orgName type="acronym">UL</orgName>
<date type="start">2012-01-01</date>
<desc><address><addrLine>34 cours Léopold - CS 25233 - 54052 Nancy cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.univ-lorraine.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName><settlement type="city">Nancy</settlement>
<settlement type="city">Metz</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université de Lorraine</orgName>
</affiliation>
</author>
<author><name sortKey="Glisse, Marc" sort="Glisse, Marc" uniqKey="Glisse M" first="Marc" last="Glisse">Marc Glisse</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-56048" status="VALID"><idno type="RNSR">200318408A</idno>
<orgName>Geometric computing</orgName>
<orgName type="acronym">GEOMETRICA</orgName>
<desc><address><addrLine>2004 route des Lucioles BP 93 F-06902 Sophia Antipolis (France) / Bât Alan Turing, Campus de l'Ecole Polytechnique, 1 rue Honoré d'Estienne d'orves, 91120 Palaiseau (France)</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www-sop.inria.fr/geometrica/</ref>
</desc>
<listRelation><relation active="#struct-34586" type="direct"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-118511" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-34586" type="direct"><org type="laboratory" xml:id="struct-34586" status="VALID"><idno type="RNSR">198318250R</idno>
<orgName>Inria Sophia Antipolis - Méditerranée </orgName>
<orgName type="acronym">CRISAM</orgName>
<desc><address><addrLine>2004 route des Lucioles BP 93 06902 Sophia Antipolis</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre/sophia/</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect"><org type="institution" xml:id="struct-300009" status="VALID"><orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc><address><addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-118511" type="direct"><org type="laboratory" xml:id="struct-118511" status="VALID"><idno type="RNSR">200818248E</idno>
<orgName>INRIA Saclay - Ile de France</orgName>
<desc><address><addrLine>1 rue Honoré d'Estienne d'OrvesBâtiment Alan TuringCampus de l'École Polytechnique91120 Palaiseau</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre/saclay</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
<author><name sortKey="Goaoc, Xavier" sort="Goaoc, Xavier" uniqKey="Goaoc X" first="Xavier" last="Goaoc">Xavier Goaoc</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-3210" status="VALID"><idno type="RNSR">200212717U</idno>
<orgName>Laboratoire d'Informatique Gaspard-Monge</orgName>
<orgName type="acronym">LIGM</orgName>
<desc><address><addrLine>Université de Paris-Est - Marne-la-Vallée, Cité Descartes, Bâtiment Copernic, 5 bd Descartes, 77454 Marne-la-Vallée Cedex 2, Inst Gaspard Monge</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://ligm.u-pem.fr</ref>
</desc>
<listRelation><relation active="#struct-301243" type="direct"></relation>
<relation active="#struct-301545" type="direct"></relation>
<relation active="#struct-302085" type="direct"></relation>
<relation active="#struct-304949" type="direct"></relation>
<relation name="UMR8049" active="#struct-441569" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-301243" type="direct"><org type="institution" xml:id="struct-301243" status="VALID"><orgName>Université Paris-Est Marne-la-Vallée</orgName>
<orgName type="acronym">UPEM</orgName>
<desc><address><addrLine>5 boulevard Descartes - Champs-sur-Marne - 77454 Marne-la-Vallée Cedex2 </addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.u-pem.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-301545" type="direct"><org type="institution" xml:id="struct-301545" status="OLD"><orgName>École des Ponts ParisTech (ENPC)</orgName>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-302085" type="direct"><org type="institution" xml:id="struct-302085" status="VALID"><orgName>Fédération de Recherche Bézout</orgName>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-304949" type="direct"><org type="institution" xml:id="struct-304949" status="INCOMING"><orgName>ESIEE</orgName>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle name="UMR8049" active="#struct-441569" type="direct"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
<author><name sortKey="Thomasse, Remy" sort="Thomasse, Remy" uniqKey="Thomasse R" first="Rémy" last="Thomasse">Rémy Thomasse</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-56048" status="VALID"><idno type="RNSR">200318408A</idno>
<orgName>Geometric computing</orgName>
<orgName type="acronym">GEOMETRICA</orgName>
<desc><address><addrLine>2004 route des Lucioles BP 93 F-06902 Sophia Antipolis (France) / Bât Alan Turing, Campus de l'Ecole Polytechnique, 1 rue Honoré d'Estienne d'orves, 91120 Palaiseau (France)</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www-sop.inria.fr/geometrica/</ref>
</desc>
<listRelation><relation active="#struct-34586" type="direct"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-118511" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-34586" type="direct"><org type="laboratory" xml:id="struct-34586" status="VALID"><idno type="RNSR">198318250R</idno>
<orgName>Inria Sophia Antipolis - Méditerranée </orgName>
<orgName type="acronym">CRISAM</orgName>
<desc><address><addrLine>2004 route des Lucioles BP 93 06902 Sophia Antipolis</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre/sophia/</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect"><org type="institution" xml:id="struct-300009" status="VALID"><orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc><address><addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-118511" type="direct"><org type="laboratory" xml:id="struct-118511" status="VALID"><idno type="RNSR">200818248E</idno>
<orgName>INRIA Saclay - Ile de France</orgName>
<desc><address><addrLine>1 rue Honoré d'Estienne d'OrvesBâtiment Alan TuringCampus de l'École Polytechnique91120 Palaiseau</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre/saclay</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
</analytic>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term>Gaussian noise</term>
<term>Probabilistic analysis</term>
<term>Worst-case analysis</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">We present a simple technique for analyzing the size of geometric  hypergraphs defined by random point sets. As an application we  obtain upper and lower bounds on the smoothed number of faces of the  convex hull under Euclidean and Gaussian noise and related results.</div>
</front>
</TEI>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/Main/Merge

HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000300 | SxmlIndent | more

HfdSelect -h $EXPLOR_AREA/Data/Main/Merge/biblio.hfd -nk 000300 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Lorraine
   |area=    InforLorV4
   |flux=    Main
   |étape=   Merge
   |type=    RBID
   |clé=     Hal:hal-01214021
   |texte=   Smoothed complexity of convex hulls by witnesses and collectors
}}

This area was generated with Dilib version V0.6.33.
Data generation: Mon Jun 10 21:56:28 2019. Site generation: Fri Feb 25 15:29:27 2022

	Serveur d'exploration sur la recherche en informatique en Lorraine
	Attention, ce site est en cours de développement ! Attention, site généré par des moyens informatiques à partir de corpus bruts. Les informations ne sont donc pas validées.

Serveur d'exploration sur la recherche en informatique en Lorraine

Smoothed complexity of convex hulls by witnesses and collectors

Smoothed complexity of convex hulls by witnesses and collectors

Source :

English descriptors

Abstract

Links toward previous steps (curation, corpus...)

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri