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Conference Papers Year : 1991

Geometric Solutions to Some 3D Vision Problems

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.

Dates and versions

inria-00548452 , version 1 (20-12-2010)

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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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