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Theses

Reconstruction et alignement en vision 3D : points, droites, plans et caméras

Adrien Bartoli 1
1 MOVI - Modeling, localization, recognition and interpretation in computer vision
GRAVIR - IMAG - Laboratoire d'informatique GRAphique, VIsion et Robotique de Grenoble, Inria Grenoble - Rhône-Alpes, CNRS - Centre National de la Recherche Scientifique : FR71
Abstract : This thesis deals with the reconstruction of 3D models of scenes from images taken by cameras. It is common to reconstruct from subsets of images and to merge the partial 3D models, based on a 3D alignment step. Reconstruction and alignment algorithms rely on point or line correspondences between the images. The position of these features in the images is affected by noise, which influences the quality of the reconstructed 3D models. This thesis focuses on obtaining optimal results and on the problems of representation which are induced. The first part of this thesis tackles the problem of reconstructing 3D models. Calibrated and uncalibrated cameras are dealt with. We develop methods for the reconstruction of points, lines and cameras. The incorporation of geometric coplanarity constraints allows simultaneous reconstruction of planes. Our main contributions are the development and the comparison of methods for the optimal 3D reconstruction of points, lines, planes and cameras. The second part of this thesis is concerned with the problem of aligning 3D models, or equivalently, estimating the geometric transformation relating two 3D models. Existing methods are based on point correspondences. We study the case of line correspondences. Calibrated and uncalibrated cameras are dealt with. Our major contributions in this domain are, from a theoretical point of view, the study of geometric transformations of 3D lines. More precisely, we extend the standard matrix representation, suitable for points, to a representation suitable for lines. From a practical point of view, we develop and compare numerous linear and non-linear alignment methods.
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Theses
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https://tel.archives-ouvertes.fr/tel-00004360
Contributor : Thèses Imag <>
Submitted on : Thursday, January 29, 2004 - 9:36:15 AM
Last modification on : Monday, December 28, 2020 - 3:44:02 PM
Long-term archiving on: : Friday, April 2, 2010 - 8:06:56 PM

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  • HAL Id : tel-00004360, version 1

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Citation

Adrien Bartoli. Reconstruction et alignement en vision 3D : points, droites, plans et caméras. Interface homme-machine [cs.HC]. Institut National Polytechnique de Grenoble - INPG, 2003. Français. ⟨tel-00004360⟩

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