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Geometric Solutions to Some 3D Vision Problems

Roger Mohr 1, 2 Luce Morin 2 
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 : In this paper, we give geometric constructive solutions to the 3D vision problems such as – how to back project an image point and how to project a space point in monocular vision, – how to determine the epipolar geometry in stereo vision, – how to locate the optical center of the camera. No direct calibration is needed, the necessary reference points are directly included in the computation. The method involves only simple geometric computation. The appropriate mathematical tool, projective geometry, is introduced. Results on preliminary experiments are discussed and some future research directions are indicated.
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Submitted on : Monday, December 20, 2010 - 8:44:58 AM
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Roger Mohr, Luce Morin. Geometric Solutions to Some 3D Vision Problems. Workshop Geometric Reasoning for Perception and Action, P.R.C - G.D.R. Intelligence Artificielle, Sep 1991, Grenoble, France. pp.139--162, ⟨10.1007/3-540-57132-9_9⟩. ⟨inria-00548452⟩



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