Reconstruction of curves in ℜ3, using factorization and bundle adjustment
Berthilsson, R. LU ; Astrom, K. LU
and Heyden, A.
LU
(1999)
Seventh IEEE International Conference on Computer Vision, ICCV 1999
p.674-679
- Abstract
In this paper, we extend the notion of affine shape, introduced by Sparr, from finite point sets to curves. The extension makes it possible to reconstruct 3D-curves up to projective transformations, from a number of their 2D-projections. We also extend the bundle adjustment technique from point features to curves. The first step of the curve reconstruction algorithm is based on affine shape, is independent of choice of coordinates, robust, does not rely on any preselected parameters and works for an arbitrary number of images. In particular this means that a solution is given to the aperture problem of finding point correspondences between curves. The second step takes advantage of any knowledge of measurement errors in the images. This... (More)
In this paper, we extend the notion of affine shape, introduced by Sparr, from finite point sets to curves. The extension makes it possible to reconstruct 3D-curves up to projective transformations, from a number of their 2D-projections. We also extend the bundle adjustment technique from point features to curves. The first step of the curve reconstruction algorithm is based on affine shape, is independent of choice of coordinates, robust, does not rely on any preselected parameters and works for an arbitrary number of images. In particular this means that a solution is given to the aperture problem of finding point correspondences between curves. The second step takes advantage of any knowledge of measurement errors in the images. This is possible by extending the bundle adjustment technique to curves. Finally, experiments are performed on both synthetic and real data to show the performance and applicability of the algorithm.
(Less)
- author
- Berthilsson, R.
LU
; Astrom, K.
LU
and Heyden, A.
LU
- organization
- publishing date
- 1999
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Proceedings of the Seventh IEEE International Conference on Computer Vision
- pages
- 6 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- Seventh IEEE International Conference on Computer Vision, ICCV 1999
- conference location
- Kerkyra, Greece
- conference dates
- 1999-09-20 - 1999-09-27
- external identifiers
-
- scopus:0033285792
- ISBN
- 0-7695-0164-8
- DOI
- 10.1109/ICCV.1999.791290
- language
- English
- LU publication?
- yes
- id
- 9960f5b4-baf0-412c-a388-43eafd24fe35
- date added to LUP
- 2020-12-03 13:41:27
- date last changed
- 2023-09-11 11:42:22
@inproceedings{9960f5b4-baf0-412c-a388-43eafd24fe35,
abstract = {{<p>In this paper, we extend the notion of affine shape, introduced by Sparr, from finite point sets to curves. The extension makes it possible to reconstruct 3D-curves up to projective transformations, from a number of their 2D-projections. We also extend the bundle adjustment technique from point features to curves. The first step of the curve reconstruction algorithm is based on affine shape, is independent of choice of coordinates, robust, does not rely on any preselected parameters and works for an arbitrary number of images. In particular this means that a solution is given to the aperture problem of finding point correspondences between curves. The second step takes advantage of any knowledge of measurement errors in the images. This is possible by extending the bundle adjustment technique to curves. Finally, experiments are performed on both synthetic and real data to show the performance and applicability of the algorithm.</p>}},
author = {{Berthilsson, R. and Astrom, K. and Heyden, A.}},
booktitle = {{Proceedings of the Seventh IEEE International Conference on Computer Vision}},
isbn = {{0-7695-0164-8}},
language = {{eng}},
pages = {{674--679}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
title = {{Reconstruction of curves in ℜ<sup>3</sup>, using factorization and bundle adjustment}},
url = {{http://dx.doi.org/10.1109/ICCV.1999.791290}},
doi = {{10.1109/ICCV.1999.791290}},
year = {{1999}},
}