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On Focal Length Calibration from Two Views

Peter Sturm 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 consider the problem of self-calibration of a camera whose intrinsic parameters are known, besides the focal length. In the past, algorithms were mainly proposed for estimating two values of the focal length, for two images taken with different zoom. While there exist closed form solutions based on the fundamental matrix, their applicability is limited due to a generic singularity that occurs whenever the optical axes intersect, leading to numerical instabilities in most practical situations. Here, we consider the case of two views with identical focal length. We derive closed form solutions (one quadratic and two linear equations). Their respective singularity conditions are studied analytically and experimental results on their stability are given.
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Peter Sturm. On Focal Length Calibration from Two Views. IEEE International Conference on Computer Vision and Pattern Recognition (CVPR '01), Dec 2001, Kauai, United States. pp.145-150, ⟨10.1109/CVPR.2001.990940⟩. ⟨inria-00525660⟩



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