DocumentCode :
344083
Title :
Reconstruction of curves in R3, using factorization and bundle adjustment
Author :
Berthilsson, R. ; Åström, K. ; Heyden, A.
Author_Institution :
Centre for Math. Sci., Lund Univ., Sweden
Volume :
1
fYear :
1999
fDate :
1999
Firstpage :
674
Abstract :
In this paper we extend the notion of affine shape, introduced by Sparr (1995, 1996), 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
Keywords :
computer vision; image reconstruction; measurement errors; stereo image processing; 2D projections; 3D curve reconstruction; affine shape; algorithm performance; aperture problem; bundle adjustment; factorization; images; measurement errors; point correspondences; projective transformations; real data; synthetic data; Apertures; Cameras; Computer vision; Councils; Image converters; Image reconstruction; Measurement errors; Read only memory; Shape; Tellurium;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Computer Vision, 1999. The Proceedings of the Seventh IEEE International Conference on
Conference_Location :
Kerkyra
Print_ISBN :
0-7695-0164-8
Type :
conf
DOI :
10.1109/ICCV.1999.791290
Filename :
791290
Link To Document :
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