Conic reconstruction and correspondence from two views
Long Quan
CNRS, INRIA, Grenoble;
This paper appears in: Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publication Date: Feb 1996
Volume: 18,
Issue: 2
On page(s): 151-160
ISSN: 0162-8828
References Cited: 29
CODEN: ITPIDJ
INSPEC Accession Number: 5208606
Digital Object Identifier: 10.1109/34.481540
Current Version Published: 2002-08-06
Abstract
Conics are widely accepted as one of the most fundamental image
features together with points and line segments. The problem of space
reconstruction and correspondence of two conics from two views is
addressed in this paper. It is shown that there are two independent
polynomial conditions on the corresponding pair of conics across two
views, given the relative orientation of the two views. These two
correspondence conditions are derived algebraically and one of them is
shown to be fundamental in establishing the correspondences of conics. A
unified closed-form solution is also developed for both projective
reconstruction of conics in space from two uncalibrated camera views and
metric reconstruction from two calibrated camera views. Experiments are
conducted to demonstrate the discriminality of the correspondence
conditions and the accuracy and stability of the reconstruction both for
simulated and real images
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