The Geometry of Projective Reconstruction I: Matching Constraints and the Joint Image

Bill Triggs 1
1 MOVI - Modeling, localization, recognition and interpretation in computer vision
GRAVIR - IMAG - Graphisme, Vision et Robotique, Inria Grenoble - Rhône-Alpes, CNRS - Centre National de la Recherche Scientifique : FR71
Abstract : This paper studies the geometry of perspective projection into multiple images and the matching constraints that this induces between the images. The combined projections produce a 3D subspace of the space of combined image coordinates called the joint image. This is a complete projective replica of the 3D world defined entirely in terms of image coordinates, up to an arbitrary choice of certain scale factors. Projective reconstruction is a canonical process in the joint image requiring only the rescaling of image coordinates. The matching constraints tell whether a set of image points is the projection of a single world point. In 3D there are only three types of matching constraint: the fundamental matrix, Shashua's trilinear tensor, and a new quadrilinear 4 image tensor. All of these fit into a single geometric object, the joint image Grassmannian tensor. This encodes exactly the information needed for reconstruction: the location of the joint image in the space of combined image coordinates.
Type de document :
Autre publication
Circulated in 1995. Accepted subject to revision to IJCV in 1995, but never completed. 1995
Liste complète des métadonnées

Littérature citée [20 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/inria-00548382
Contributeur : Thoth Team <>
Soumis le : lundi 20 décembre 2010 - 08:44:10
Dernière modification le : mercredi 11 avril 2018 - 01:54:23
Document(s) archivé(s) le : lundi 21 mars 2011 - 03:00:18

Fichiers

Triggs-ijcv95.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : inria-00548382, version 1

Collections

Citation

Bill Triggs. The Geometry of Projective Reconstruction I: Matching Constraints and the Joint Image. Circulated in 1995. Accepted subject to revision to IJCV in 1995, but never completed. 1995. 〈inria-00548382〉

Partager

Métriques

Consultations de la notice

230

Téléchargements de fichiers

646