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Using Conic Correspondences in Two Images to Estimate the Epipolar Geometry

Kahl, Fredrik LU and Heyden, Anders LU (1998) IEEE International Conference on Computer Vision, 1998 In Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271) p.761-766
Abstract
In this paper it is shown hour corresponding conics in two images can be used to estimate the epipolar geometry in terms of the fundamental/essential matrix. The corresponding conics can, be images of either planar celtics or silhouettes of quadrics. It is shown that one conic correspondence gives two independent constraints on the fundamental matrix and a method to estimate the fundamental matrix from at least four corresponding conics is presented. Furthermore, a new type of fundamental matrix for describing conic correspondences is introduced. Finally, it is shown that the problem of estimating the fundamental matrix from 5 point correspondences and 1 conic correspondence in general has 10 different solutions. A method to calculate... (More)
In this paper it is shown hour corresponding conics in two images can be used to estimate the epipolar geometry in terms of the fundamental/essential matrix. The corresponding conics can, be images of either planar celtics or silhouettes of quadrics. It is shown that one conic correspondence gives two independent constraints on the fundamental matrix and a method to estimate the fundamental matrix from at least four corresponding conics is presented. Furthermore, a new type of fundamental matrix for describing conic correspondences is introduced. Finally, it is shown that the problem of estimating the fundamental matrix from 5 point correspondences and 1 conic correspondence in general has 10 different solutions. A method to calculate these solutions is also given together with an experimental validation (Less)
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
computational geometry, computer vision, motion estimation, conic correspondences, epipolar geometry, image estimation, planar celtics, silhouettes, quadrics, fundamental matrix
in
Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271)
pages
761 - 766
conference name
IEEE International Conference on Computer Vision, 1998
external identifiers
  • Scopus:0032309499
ISBN
81 7319 221 9
DOI
10.1109/ICCV.1998.710803
language
English
LU publication?
yes
id
9660bbf5-de1e-4683-9760-ca06520c5212 (old id 787366)
date added to LUP
2008-09-15 16:23:48
date last changed
2016-10-13 05:00:54
@misc{9660bbf5-de1e-4683-9760-ca06520c5212,
  abstract     = {In this paper it is shown hour corresponding conics in two images can be used to estimate the epipolar geometry in terms of the fundamental/essential matrix. The corresponding conics can, be images of either planar celtics or silhouettes of quadrics. It is shown that one conic correspondence gives two independent constraints on the fundamental matrix and a method to estimate the fundamental matrix from at least four corresponding conics is presented. Furthermore, a new type of fundamental matrix for describing conic correspondences is introduced. Finally, it is shown that the problem of estimating the fundamental matrix from 5 point correspondences and 1 conic correspondence in general has 10 different solutions. A method to calculate these solutions is also given together with an experimental validation},
  author       = {Kahl, Fredrik and Heyden, Anders},
  isbn         = {81 7319 221 9},
  keyword      = {computational geometry,computer vision,motion estimation,conic correspondences,epipolar geometry,image estimation,planar celtics,silhouettes,quadrics,fundamental matrix},
  language     = {eng},
  pages        = {761--766},
  series       = {Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271)},
  title        = {Using Conic Correspondences in Two Images to Estimate the Epipolar Geometry},
  url          = {http://dx.doi.org/10.1109/ICCV.1998.710803},
  year         = {1998},
}