Using Conic Correspondences in Two Images to Estimate the Epipolar Geometry
(1998) IEEE International Conference on Computer Vision, 1998 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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/787366
- author
- Kahl, Fredrik LU and Heyden, Anders LU
- organization
- publishing date
- 1998
- 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
- host publication
- Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271)
- pages
- 761 - 766
- conference name
- IEEE International Conference on Computer Vision, 1998
- conference location
- Mumbai, India
- conference dates
- 1998-01-04 - 1998-01-07
- 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
- 2016-04-04 14:15:43
- date last changed
- 2023-12-15 10:48:15
@inproceedings{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}}, booktitle = {{Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271)}}, isbn = {{81 7319 221 9}}, keywords = {{computational geometry; computer vision; motion estimation; conic correspondences; epipolar geometry; image estimation; planar celtics; silhouettes; quadrics; fundamental matrix}}, language = {{eng}}, pages = {{761--766}}, title = {{Using Conic Correspondences in Two Images to Estimate the Epipolar Geometry}}, url = {{http://dx.doi.org/10.1109/ICCV.1998.710803}}, doi = {{10.1109/ICCV.1998.710803}}, year = {{1998}}, }