PittsburghV1, France, Analysis, bibRecord, 000101

Trinocular Geometry Revisited

Identifieur interne : 000101 ( France/Analysis ); précédent : 000100; suivant : 000102

Trinocular Geometry Revisited

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

Source :

RBID : Hal:hal-01152348

English descriptors

mix :
- Camera parameter estimation., Minimal parameterizations of camera geometry, Trilinearities, Trinocular geometry.

Abstract

When do the visual rays associated with triplets of point correspondences converge, that is, intersect in a common point? Classical models of trinocular geometry based on the fundamental matrices and trifocal tensor associated with the corresponding cameras only provide partial answers to this fundamental question, in large part because of underlying, but seldom explicit, general configuration assumptions. This paper uses elementary tools from projective line geometry to provide necessary and sufficient geometric and analytical conditions for convergence in terms of transversals to triplets of visual rays, without any such assumptions. In turn, this yields a novel and simple minimal parameterization of trinocular geometry for cameras with non-collinear or collinear pinholes, which can be used to construct a practical and efficient method for trinocular geometry parameter estimation. We present numerical experiments using synthetic and real data.

Url:

https://hal.archives-ouvertes.fr/hal-01152348

Affiliations:

France, États-Unis

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

to stream Hal, to step Corpus: 000667
to stream Hal, to step Curation: 000667
to stream Hal, to step Checkpoint: 000102
to stream Main, to step Merge: 000153
to stream Main, to step Curation: 000153
to stream Main, to step Exploration: 000153
to stream France, to step Extraction: 000101

Links to Exploration step

Hal:hal-01152348

Le document en format XML

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<front><div type="abstract" xml:lang="en">When do the visual rays associated with triplets of point correspondences converge, that is, intersect in a common point? Classical models of trinocular geometry based on the fundamental matrices and trifocal tensor associated with the corresponding cameras only provide partial answers to this fundamental question, in large part because of underlying, but seldom explicit, general configuration assumptions. This paper uses elementary tools from projective line geometry to provide necessary and sufficient geometric and analytical conditions for convergence in terms of transversals to triplets of visual rays, without any such assumptions. In turn, this yields a novel and simple minimal parameterization of trinocular geometry for cameras with non-collinear or collinear pinholes, which can be used to construct a practical and efficient method for trinocular geometry parameter estimation. We present numerical experiments using synthetic and real data.</div>
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   |texte=   Trinocular Geometry Revisited
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Trinocular Geometry Revisited

Trinocular Geometry Revisited

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