PittsburghV1, France, Analysis, bibRecord, 000070

Consistency of silhouettes and their duals

Identifieur interne : 000070 ( France/Analysis ); précédent : 000069; suivant : 000071

Consistency of silhouettes and their duals

Auteurs : Matthew Trager [France] ; Martial Hebert [États-Unis] ; Jean Ponce [France]

Source :

RBID : Hal:hal-01287180

Abstract

Silhouettes provide rich information on three-dimensional shape, since the intersection of the associated visual cones generates the "visual hull", which encloses and approximates the original shape. However, not all silhouettes can actually be projections of the same object in space: this simple observation has implications in object recognition and multi-view segmentation, and has been (often implicitly) used as a basis for camera calibration. In this paper, we investigate the conditions for multiple silhouettes, or more generally arbitrary closed image sets, to be geometrically "consistent". We present this notion as a natural generalization of traditional multi-view geometry, which deals with consistency for points. After discussing some general results, we present a "dual" formulation for consistency, that gives conditions for a family of planar sets to be sections of the same object. Finally, we introduce a more general notion of silhouette "compatibility" under partial knowledge of the camera projections, and point out some possible directions for future research.

Url:

https://hal.archives-ouvertes.fr/hal-01287180

Affiliations:

France, États-Unis

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

to stream Hal, to step Corpus: 000158
to stream Hal, to step Curation: 000158
to stream Hal, to step Checkpoint: 000075
to stream Main, to step Merge: 000076
to stream Main, to step Curation: 000076
to stream Main, to step Exploration: 000076
to stream France, to step Extraction: 000070

Links to Exploration step

Hal:hal-01287180

Le document en format XML

<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Consistency of silhouettes and their duals</title>
<author><name sortKey="Trager, Matthew" sort="Trager, Matthew" uniqKey="Trager M" first="Matthew" last="Trager">Matthew Trager</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-454692" status="VALID">  <idno type="RNSR">200718311C</idno>
  <orgName>Models of visual object recognition and scene understanding</orgName>
  <orgName type="acronym">WILLOW</orgName>
  <date type="start">2016-01-01</date>
  <desc>    <address>      <country key="FR"></country>
    </address>
    <ref type="url">http://www.inria.fr/equipes/willow</ref>
  </desc>
  <listRelation>    <relation active="#struct-25027" type="direct"></relation>
    <relation active="#struct-59704" type="indirect"></relation>
    <relation active="#struct-300009" type="indirect"></relation>
    <relation name="UMR8548" active="#struct-441569" type="indirect"></relation>
    <relation active="#struct-454310" type="direct"></relation>
  </listRelation>
<tutelles><tutelle active="#struct-25027" type="direct"><org type="laboratory" xml:id="struct-25027" status="VALID">          <orgName>Département d'informatique de l'École normale supérieure</orgName>
          <orgName type="acronym">DI-ENS</orgName>
          <desc>            <address>              <addrLine>École normale supérieure 45 rue d'Ulm F-75230 Paris Cedex 05</addrLine>
              <country key="FR"></country>
            </address>
            <ref type="url">http://www.di.ens.fr/</ref>
          </desc>
          <listRelation>            <relation active="#struct-59704" type="direct"></relation>
            <relation active="#struct-300009" type="direct"></relation>
            <relation name="UMR8548" active="#struct-441569" type="direct"></relation>
          </listRelation>
        </org>
</tutelle>
<tutelle active="#struct-59704" type="indirect"><org type="institution" xml:id="struct-59704" status="VALID">          <orgName>École normale supérieure - Paris</orgName>
          <orgName type="acronym">ENS Paris</orgName>
          <desc>            <address>              <addrLine>45, Rue d'Ulm - 75230 Paris cedex 05</addrLine>
              <country key="FR"></country>
            </address>
            <ref type="url">http://www.ens.fr</ref>
          </desc>
        </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 name="UMR8548" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID">          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</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>
<tutelle active="#struct-454310" type="direct"><org type="laboratory" xml:id="struct-454310" status="VALID"><orgName>Inria de Paris</orgName>
<desc><address><addrLine>2 rue Simone Iff -CS 42112 -75589 Paris Cedex 12</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre/paris</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
<author><name sortKey="Hebert, Martial" sort="Hebert, Martial" uniqKey="Hebert M" first="Martial" last="Hebert">Martial Hebert</name>
<affiliation wicri:level="1"><hal:affiliation type="institution" xml:id="struct-67135" status="VALID">          <orgName>Carnegie Mellon University [Pittsburgh]</orgName>
          <orgName type="acronym">CMU</orgName>
          <desc>            <address>              <addrLine>5000 Forbes Ave,  Pittsburgh, PA 15213</addrLine>
              <country key="US"></country>
            </address>
            <ref type="url">http://www.cmu.edu/</ref>
          </desc>
        </hal:affiliation>
<country>États-Unis</country>
</affiliation>
</author>
<author><name sortKey="Ponce, Jean" sort="Ponce, Jean" uniqKey="Ponce J" first="Jean" last="Ponce">Jean Ponce</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-454692" status="VALID">  <idno type="RNSR">200718311C</idno>
  <orgName>Models of visual object recognition and scene understanding</orgName>
  <orgName type="acronym">WILLOW</orgName>
  <date type="start">2016-01-01</date>
  <desc>    <address>      <country key="FR"></country>
    </address>
    <ref type="url">http://www.inria.fr/equipes/willow</ref>
  </desc>
  <listRelation>    <relation active="#struct-25027" type="direct"></relation>
    <relation active="#struct-59704" type="indirect"></relation>
    <relation active="#struct-300009" type="indirect"></relation>
    <relation name="UMR8548" active="#struct-441569" type="indirect"></relation>
    <relation active="#struct-454310" type="direct"></relation>
  </listRelation>
<tutelles><tutelle active="#struct-25027" type="direct"><org type="laboratory" xml:id="struct-25027" status="VALID">          <orgName>Département d'informatique de l'École normale supérieure</orgName>
          <orgName type="acronym">DI-ENS</orgName>
          <desc>            <address>              <addrLine>École normale supérieure 45 rue d'Ulm F-75230 Paris Cedex 05</addrLine>
              <country key="FR"></country>
            </address>
            <ref type="url">http://www.di.ens.fr/</ref>
          </desc>
          <listRelation>            <relation active="#struct-59704" type="direct"></relation>
            <relation active="#struct-300009" type="direct"></relation>
            <relation name="UMR8548" active="#struct-441569" type="direct"></relation>
          </listRelation>
        </org>
</tutelle>
<tutelle active="#struct-59704" type="indirect"><org type="institution" xml:id="struct-59704" status="VALID">          <orgName>École normale supérieure - Paris</orgName>
          <orgName type="acronym">ENS Paris</orgName>
          <desc>            <address>              <addrLine>45, Rue d'Ulm - 75230 Paris cedex 05</addrLine>
              <country key="FR"></country>
            </address>
            <ref type="url">http://www.ens.fr</ref>
          </desc>
        </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 name="UMR8548" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID">          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</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>
<tutelle active="#struct-454310" type="direct"><org type="laboratory" xml:id="struct-454310" status="VALID"><orgName>Inria de Paris</orgName>
<desc><address><addrLine>2 rue Simone Iff -CS 42112 -75589 Paris Cedex 12</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre/paris</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-01287180</idno>
<idno type="halId">hal-01287180</idno>
<idno type="halUri">https://hal.archives-ouvertes.fr/hal-01287180</idno>
<idno type="url">https://hal.archives-ouvertes.fr/hal-01287180</idno>
<date when="2016-06-26">2016-06-26</date>
<idno type="wicri:Area/Hal/Corpus">000158</idno>
<idno type="wicri:Area/Hal/Curation">000158</idno>
<idno type="wicri:Area/Hal/Checkpoint">000075</idno>
<idno type="wicri:explorRef" wicri:stream="Hal" wicri:step="Checkpoint">000075</idno>
<idno type="wicri:Area/Main/Merge">000076</idno>
<idno type="wicri:Area/Main/Curation">000076</idno>
<idno type="wicri:Area/Main/Exploration">000076</idno>
<idno type="wicri:Area/France/Extraction">000070</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title xml:lang="en">Consistency of silhouettes and their duals</title>
<author><name sortKey="Trager, Matthew" sort="Trager, Matthew" uniqKey="Trager M" first="Matthew" last="Trager">Matthew Trager</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-454692" status="VALID">  <idno type="RNSR">200718311C</idno>
  <orgName>Models of visual object recognition and scene understanding</orgName>
  <orgName type="acronym">WILLOW</orgName>
  <date type="start">2016-01-01</date>
  <desc>    <address>      <country key="FR"></country>
    </address>
    <ref type="url">http://www.inria.fr/equipes/willow</ref>
  </desc>
  <listRelation>    <relation active="#struct-25027" type="direct"></relation>
    <relation active="#struct-59704" type="indirect"></relation>
    <relation active="#struct-300009" type="indirect"></relation>
    <relation name="UMR8548" active="#struct-441569" type="indirect"></relation>
    <relation active="#struct-454310" type="direct"></relation>
  </listRelation>
<tutelles><tutelle active="#struct-25027" type="direct"><org type="laboratory" xml:id="struct-25027" status="VALID">          <orgName>Département d'informatique de l'École normale supérieure</orgName>
          <orgName type="acronym">DI-ENS</orgName>
          <desc>            <address>              <addrLine>École normale supérieure 45 rue d'Ulm F-75230 Paris Cedex 05</addrLine>
              <country key="FR"></country>
            </address>
            <ref type="url">http://www.di.ens.fr/</ref>
          </desc>
          <listRelation>            <relation active="#struct-59704" type="direct"></relation>
            <relation active="#struct-300009" type="direct"></relation>
            <relation name="UMR8548" active="#struct-441569" type="direct"></relation>
          </listRelation>
        </org>
</tutelle>
<tutelle active="#struct-59704" type="indirect"><org type="institution" xml:id="struct-59704" status="VALID">          <orgName>École normale supérieure - Paris</orgName>
          <orgName type="acronym">ENS Paris</orgName>
          <desc>            <address>              <addrLine>45, Rue d'Ulm - 75230 Paris cedex 05</addrLine>
              <country key="FR"></country>
            </address>
            <ref type="url">http://www.ens.fr</ref>
          </desc>
        </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 name="UMR8548" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID">          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</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>
<tutelle active="#struct-454310" type="direct"><org type="laboratory" xml:id="struct-454310" status="VALID"><orgName>Inria de Paris</orgName>
<desc><address><addrLine>2 rue Simone Iff -CS 42112 -75589 Paris Cedex 12</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre/paris</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
<author><name sortKey="Hebert, Martial" sort="Hebert, Martial" uniqKey="Hebert M" first="Martial" last="Hebert">Martial Hebert</name>
<affiliation wicri:level="1"><hal:affiliation type="institution" xml:id="struct-67135" status="VALID">          <orgName>Carnegie Mellon University [Pittsburgh]</orgName>
          <orgName type="acronym">CMU</orgName>
          <desc>            <address>              <addrLine>5000 Forbes Ave,  Pittsburgh, PA 15213</addrLine>
              <country key="US"></country>
            </address>
            <ref type="url">http://www.cmu.edu/</ref>
          </desc>
        </hal:affiliation>
<country>États-Unis</country>
</affiliation>
</author>
<author><name sortKey="Ponce, Jean" sort="Ponce, Jean" uniqKey="Ponce J" first="Jean" last="Ponce">Jean Ponce</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-454692" status="VALID">  <idno type="RNSR">200718311C</idno>
  <orgName>Models of visual object recognition and scene understanding</orgName>
  <orgName type="acronym">WILLOW</orgName>
  <date type="start">2016-01-01</date>
  <desc>    <address>      <country key="FR"></country>
    </address>
    <ref type="url">http://www.inria.fr/equipes/willow</ref>
  </desc>
  <listRelation>    <relation active="#struct-25027" type="direct"></relation>
    <relation active="#struct-59704" type="indirect"></relation>
    <relation active="#struct-300009" type="indirect"></relation>
    <relation name="UMR8548" active="#struct-441569" type="indirect"></relation>
    <relation active="#struct-454310" type="direct"></relation>
  </listRelation>
<tutelles><tutelle active="#struct-25027" type="direct"><org type="laboratory" xml:id="struct-25027" status="VALID">          <orgName>Département d'informatique de l'École normale supérieure</orgName>
          <orgName type="acronym">DI-ENS</orgName>
          <desc>            <address>              <addrLine>École normale supérieure 45 rue d'Ulm F-75230 Paris Cedex 05</addrLine>
              <country key="FR"></country>
            </address>
            <ref type="url">http://www.di.ens.fr/</ref>
          </desc>
          <listRelation>            <relation active="#struct-59704" type="direct"></relation>
            <relation active="#struct-300009" type="direct"></relation>
            <relation name="UMR8548" active="#struct-441569" type="direct"></relation>
          </listRelation>
        </org>
</tutelle>
<tutelle active="#struct-59704" type="indirect"><org type="institution" xml:id="struct-59704" status="VALID">          <orgName>École normale supérieure - Paris</orgName>
          <orgName type="acronym">ENS Paris</orgName>
          <desc>            <address>              <addrLine>45, Rue d'Ulm - 75230 Paris cedex 05</addrLine>
              <country key="FR"></country>
            </address>
            <ref type="url">http://www.ens.fr</ref>
          </desc>
        </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 name="UMR8548" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID">          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</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>
<tutelle active="#struct-454310" type="direct"><org type="laboratory" xml:id="struct-454310" status="VALID"><orgName>Inria de Paris</orgName>
<desc><address><addrLine>2 rue Simone Iff -CS 42112 -75589 Paris Cedex 12</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre/paris</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></textClass>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Silhouettes provide rich information on three-dimensional shape, since the intersection of the associated visual cones generates the "visual hull", which encloses and approximates the original shape. However, not all silhouettes can actually be projections of the same object in space: this simple observation has implications in object recognition and multi-view segmentation, and has been (often implicitly) used as a basis for camera calibration. In this paper, we investigate the conditions for multiple silhouettes, or more generally arbitrary closed image sets, to be geometrically "consistent". We present this notion as a natural generalization of traditional multi-view geometry, which deals with consistency for points. After discussing some general results, we present a "dual" formulation for consistency, that gives conditions for a family of planar sets to be sections of the same object. Finally, we introduce a more general notion of silhouette "compatibility" under partial knowledge of the camera projections, and point out some possible directions for future research.</div>
</front>
</TEI>
<affiliations><list><country><li>France</li>
<li>États-Unis</li>
</country>
</list>
<tree><country name="France"><noRegion><name sortKey="Trager, Matthew" sort="Trager, Matthew" uniqKey="Trager M" first="Matthew" last="Trager">Matthew Trager</name>
</noRegion>
<name sortKey="Ponce, Jean" sort="Ponce, Jean" uniqKey="Ponce J" first="Jean" last="Ponce">Jean Ponce</name>
</country>
<country name="États-Unis"><noRegion><name sortKey="Hebert, Martial" sort="Hebert, Martial" uniqKey="Hebert M" first="Martial" last="Hebert">Martial Hebert</name>
</noRegion>
</country>
</tree>
</affiliations>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Amérique/explor/PittsburghV1/Data/France/Analysis

HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000070 | SxmlIndent | more

HfdSelect -h $EXPLOR_AREA/Data/France/Analysis/biblio.hfd -nk 000070 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Amérique
   |area=    PittsburghV1
   |flux=    France
   |étape=   Analysis
   |type=    RBID
   |clé=     Hal:hal-01287180
   |texte=   Consistency of silhouettes and their duals
}}

This area was generated with Dilib version V0.6.38.
Data generation: Fri Jun 18 17:37:45 2021. Site generation: Fri Jun 18 18:15:47 2021

	Serveur d'exploration sur Pittsburgh
	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 Pittsburgh

Consistency of silhouettes and their duals

Consistency of silhouettes and their duals

Source :

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