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Une approche pour l'analyse et exploitation des contraintes géométriques en modélisation 3D

Marta Wilczkowiak 1 Peter Sturm 1 Edmond Boyer 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 : We present a system for interactive scene modelling using multiple images and geometric constraints on the scene. The scene is reconstructed as a set of points, lines and planes. All primitives are represented using homogeneous coordinates, which leads to linear or bilinear expressions of a number of geometric constraints including: incidence, coplanarity, orthogonality, parallelism, projection (3D point/line onto image point/line). The basic practical reconstruction approach is iterative. At each iteration, as many primitives as possible are reconstructed from previously reconstructed ones and the geometric constraints. In practice, the solved systems are often underconstrained, either because sets of primitives are not related by any constraint or because the available constraints are insufficient or ill-conditioned. We thus incorporate an analysis that aims at detecting and solving these problems, without which meaningless results would be obtained. Applications to scene modelling are discussed and preliminary results on real data are presented.
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Marta Wilczkowiak, Peter Sturm, Edmond Boyer. Une approche pour l'analyse et exploitation des contraintes géométriques en modélisation 3D. Journées ORASIS, May 2003, Gérardmer, France. pp.77-86. ⟨inria-00525638⟩

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