Advanced

Projective Reconstruction of 3D-curves from its 2D-images using Error Models and Bundle Adjustments

Berthilsson, Rikard LU ; Åström, Karl LU and Heyden, Anders LU (1997) 10th Scandinavian Conf. on Image Analysis In Proceedings of the 10th Scandinavian Conference on Image Analysis p.581-588
Abstract
In this paper, an algorithm for projective reconstruction of general 3D-curves from a number of its 2D-images taken by uncalibrated cameras is proposed. No point correspondences between the images are assumed. The curve and the view points are uniquely reconstructed, modulo projective transformations. The algorithm is divided into two separate algorithms, where the output of the first is used as input to the second. The first algorithm is independent of the choice of coordinates in the images and is based on orthogonal projections and aligning subspaces. The ideas behind the algorithm are based on an extension of aOEne shape of finite point configurations to curves. The second algorithm uses the well-known technique of bundle adjustments,... (More)
In this paper, an algorithm for projective reconstruction of general 3D-curves from a number of its 2D-images taken by uncalibrated cameras is proposed. No point correspondences between the images are assumed. The curve and the view points are uniquely reconstructed, modulo projective transformations. The algorithm is divided into two separate algorithms, where the output of the first is used as input to the second. The first algorithm is independent of the choice of coordinates in the images and is based on orthogonal projections and aligning subspaces. The ideas behind the algorithm are based on an extension of aOEne shape of finite point configurations to curves. The second algorithm uses the well-known technique of bundle adjustments, where an error function is minimised with respect to all free parameters. The errors in the detection of the curve in the images are used in the error function. These errors are obtained from a proposed model of image acquisition and scale space smoothing, making it possible to analyse the errors in a simple edge detection algorithm. Finally, experiments using real images, have been carried out and it is shown that the results are superior to previous approaches. (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
581 - 588
publisher
Suomen hahmontunnistustutkimuksen seura
conference name
10th Scandinavian Conf. on Image Analysis
ISBN
951-764-145-1
language
English
LU publication?
yes
id
8fec943a-0efd-4622-8527-e7b9a2683bc6 (old id 787206)
alternative location
http://www.maths.lth.se/matematiklth/personal/kalle/publi/berthilsson_astrom.ssab97.ps
date added to LUP
2008-09-16 14:23:25
date last changed
2016-04-16 08:50:17
@misc{8fec943a-0efd-4622-8527-e7b9a2683bc6,
  abstract     = {In this paper, an algorithm for projective reconstruction of general 3D-curves from a number of its 2D-images taken by uncalibrated cameras is proposed. No point correspondences between the images are assumed. The curve and the view points are uniquely reconstructed, modulo projective transformations. The algorithm is divided into two separate algorithms, where the output of the first is used as input to the second. The first algorithm is independent of the choice of coordinates in the images and is based on orthogonal projections and aligning subspaces. The ideas behind the algorithm are based on an extension of aOEne shape of finite point configurations to curves. The second algorithm uses the well-known technique of bundle adjustments, where an error function is minimised with respect to all free parameters. The errors in the detection of the curve in the images are used in the error function. These errors are obtained from a proposed model of image acquisition and scale space smoothing, making it possible to analyse the errors in a simple edge detection algorithm. Finally, experiments using real images, have been carried out and it is shown that the results are superior to previous approaches.},
  author       = {Berthilsson, Rikard and Åström, Karl and Heyden, Anders},
  editor       = {Frydrych, Michael and Parkkinen, Jussi and Visa, Ari},
  isbn         = {951-764-145-1},
  language     = {eng},
  pages        = {581--588},
  publisher    = {ARRAY(0x7acfd28)},
  series       = {Proceedings of the 10th Scandinavian Conference on Image Analysis},
  title        = {Projective Reconstruction of 3D-curves from its 2D-images using Error Models and Bundle Adjustments},
  year         = {1997},
}