Advanced

Projective Structure and Motion from Image Sequences using Subspace Methods

Heyden, Anders LU (1997) SCIA'97, Scandinavian Conference on Image Analysis In Proceedings of the 10th Scandinavian Conference on Image Analysis p.963-968
Abstract
In this paper a novel method to make reconstruction from any number of uncalibrated cameras is presented. The novelty lies in the fact that the algorithm relies only on subspace methods, which implies that it is independent of the chosen coordinate system in the images. Furthermore, it does not distinguish between the dioeerent points in each image and can deal with any number of images and points in a unified manner. Finally, it is possible to obtain a result that is independent on the chosen ordering of the images. The performance of this iterative algorithm is shown on both simulated and real data. In general, for n points in m images, it is suOEcient to make only 10 iterations, where each iteration involves the calculation of the four... (More)
In this paper a novel method to make reconstruction from any number of uncalibrated cameras is presented. The novelty lies in the fact that the algorithm relies only on subspace methods, which implies that it is independent of the chosen coordinate system in the images. Furthermore, it does not distinguish between the dioeerent points in each image and can deal with any number of images and points in a unified manner. Finally, it is possible to obtain a result that is independent on the chosen ordering of the images. The performance of this iterative algorithm is shown on both simulated and real data. In general, for n points in m images, it is suOEcient to make only 10 iterations, where each iteration involves the calculation of the four eigenvectors corresponding to the largest eigenvalues to an nThetan matrix and calculations of the eigenvector corresponding to the smallest eigenvalue to m dioeerent n Theta n matrices. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
Proceedings of the 10th Scandinavian Conference on Image Analysis
editor
Frydrych, Michael; Parkkinen, Jussi and Visa, Ari
pages
963 - 968
conference name
SCIA'97, Scandinavian Conference on Image Analysis
ISBN
951-764-145-1
language
English
LU publication?
yes
id
c3e3652a-a45d-4d94-a40b-5ca3ff450152 (old id 787331)
alternative location
http://www.maths.lth.se/matematiklth/personal/andersp/publ/scia97gen.ps
date added to LUP
2008-09-16 09:48:27
date last changed
2016-04-16 12:44:17
@misc{c3e3652a-a45d-4d94-a40b-5ca3ff450152,
  abstract     = {In this paper a novel method to make reconstruction from any number of uncalibrated cameras is presented. The novelty lies in the fact that the algorithm relies only on subspace methods, which implies that it is independent of the chosen coordinate system in the images. Furthermore, it does not distinguish between the dioeerent points in each image and can deal with any number of images and points in a unified manner. Finally, it is possible to obtain a result that is independent on the chosen ordering of the images. The performance of this iterative algorithm is shown on both simulated and real data. In general, for n points in m images, it is suOEcient to make only 10 iterations, where each iteration involves the calculation of the four eigenvectors corresponding to the largest eigenvalues to an nThetan matrix and calculations of the eigenvector corresponding to the smallest eigenvalue to m dioeerent n Theta n matrices.},
  author       = {Heyden, Anders},
  editor       = {Frydrych, Michael and Parkkinen, Jussi and Visa, Ari},
  isbn         = {951-764-145-1},
  language     = {eng},
  pages        = {963--968},
  series       = {Proceedings of the 10th Scandinavian Conference on Image Analysis},
  title        = {Projective Structure and Motion from Image Sequences using Subspace Methods},
  year         = {1997},
}