PittsburghV1, France, Analysis, bibRecord, 000188

Trinocular Geometry Revisited

Identifieur interne : 000188 ( France/Analysis ); précédent : 000187; suivant : 000189

Trinocular Geometry Revisited

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

Source :

RBID : Hal:hal-01053676

Abstract

When do the visual rays associated with triplets of point correspondences converge, that is, intersect in a commπon 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 geo- metric 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.

Url:

https://hal.inria.fr/hal-01053676

Affiliations:

France, États-Unis

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

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Links to Exploration step

Hal:hal-01053676

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 commπon 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 geo- metric 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.</div>
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Trinocular Geometry Revisited

Trinocular Geometry Revisited

Source :

Abstract

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

Links to Exploration step

Le document en format XML

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