PittsburghV1, France, Analysis, bibRecord, 000113

The joint image handbook

Identifieur interne : 000113 ( France/Analysis ); précédent : 000112; suivant : 000114

The joint image handbook

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

Source :

RBID : Hal:hal-01249171

Abstract

Given multiple perspective photographs, point correspondences form the " joint image " , effectively a replica of three-dimensional space distributed across its two-dimensional projections. This set can be characterized by multilinear equations over image coordinates, such as epipolar and trifocal constraints. We revisit in this paper the geometric and algebraic properties of the joint image, and address fundamental questions such as how many and which multilinearities are necessary and/or sufficient to determine camera geometry and/or image correspondences. The new theoretical results in this paper answer these questions in a very general setting and, in turn, are intended to serve as a " handbook " reference about multilinearities for practitioners.

Url:

https://hal.archives-ouvertes.fr/hal-01249171

Affiliations:

France, États-Unis

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

to stream Hal, to step Corpus: 000629
to stream Hal, to step Curation: 000629
to stream Hal, to step Checkpoint: 000128
to stream Main, to step Merge: 000167
to stream Main, to step Curation: 000167
to stream Main, to step Exploration: 000167
to stream France, to step Extraction: 000113

Links to Exploration step

Hal:hal-01249171

Le document en format XML

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<front><div type="abstract" xml:lang="en">Given multiple perspective photographs, point correspondences form the " joint image " , effectively a replica of three-dimensional space distributed across its two-dimensional projections. This set can be characterized by multilinear equations over image coordinates, such as epipolar and trifocal constraints. We revisit in this paper the geometric and algebraic properties of the joint image, and address fundamental questions such as how many and which multilinearities are necessary and/or sufficient to determine camera geometry and/or image correspondences. The new theoretical results in this paper answer these questions in a very general setting and, in turn, are intended to serve as a " handbook " reference about multilinearities for practitioners.</div>
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   |wiki=    Wicri/Amérique
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   |étape=   Analysis
   |type=    RBID
   |clé=     Hal:hal-01249171
   |texte=   The joint image handbook
}}

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The joint image handbook

The joint image handbook

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