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Scene Reconstruction Based on Constraints: Details on the Equation System Decomposition

Gilles Trombettoni 1 Marta Wilczkowiak 2 
1 COPRIN - Constraints solving, optimization and robust interval analysis
CRISAM - Inria Sophia Antipolis - Méditerranée , ENPC - École des Ponts ParisTech
2 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 new approach to 3D scene modeling based on geometrical constraints. Contrary to most of the existing methods, we obtain 3D scene models that respect the given constraints exactly. Our tool can describe a large variety of linear and non-linear constraints in a flexible way. Our approach is based on a dictionary of so-called r-methods, based on theorems in geometry, which can solve a subset of geometrical constraints in a very efficient way. Two fast and complete graph-based algorithms are proposed to find a reduced parametrization of a scene, and to decompose the equation system in a sequence of r-methods.
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Submitted on : Tuesday, May 3, 2011 - 9:29:45 AM
Last modification on : Friday, February 4, 2022 - 3:33:39 AM
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Gilles Trombettoni, Marta Wilczkowiak. Scene Reconstruction Based on Constraints: Details on the Equation System Decomposition. 9th International Conference on Principles and Practice of Constraint Programming (CP '03), Sep 2003, Kinsale, Ireland. pp.956--961, ⟨10.1007/978-3-540-45193-8_86⟩. ⟨inria-00590172⟩



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