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Optimal Camera Placement for Accurate Reconstruction

Gustavo Olague 1 Roger Mohr
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 : 3D measurements can be recovered from several views by triangulation. This paper deals with the problem of where to place the cameras in order to obtain a minimal error in the 3D measurements, also called {\it camera network design} in photogrammetry. We pose the problem in terms of an optimization design, dividingit into two main components: 1) an analytical part dedicated to the analysis oferror propagation from which a criterion is derived, 2) a global optimization process to minimizes this criterion. In this way, the approach consists of an uncertainty analysis applied to the reconstruction process from which a covariance matrix is computed. This matrix represents the uncertainty of the detection from which the criterion is derived. Moreover, the optimization has discontinuities mainly due to the unobser­vability of points, which leads to a combinatorial optimization process. These aspects are solved using a multicellular genetic algorithm. Experimental results are provided to illustrate the effectiveness and efficiency of the solution.
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Submitted on : Wednesday, May 24, 2006 - 12:36:05 PM
Last modification on : Friday, February 4, 2022 - 3:22:02 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:43:31 PM

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Gustavo Olague, Roger Mohr. Optimal Camera Placement for Accurate Reconstruction. RR-3338, INRIA. 1998. ⟨inria-00073351⟩

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