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Affine reconstruction from translational motion under various autocalibration constraints

Hammarstedt, P; Kahl, Fredrik LU and Heyden, Anders LU (2006) In Journal of Mathematical Imaging and Vision 24(2). p.245-257
Abstract
In this paper algorithms for affine reconstruction from translational motion under various auto calibration constraints are presented. A general geometric constraint, expressed using the camera matrices, is derived and this constraint is used in a least square solution to the problem. Necessary and sufficient conditions for critical motions are derived and shown to depend on the knowledge of the intrinsic parameters of the camera. Experiments on simulated data are performed to evaluate the noise sensitivity of the algorithms and the reconstruction quality for motions close to being critical. An experiment is performed on real data to illustrate that the method works in practice.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
translational motion, structure and motion estimation, affine geometry, critical motions
in
Journal of Mathematical Imaging and Vision
volume
24
issue
2
pages
245 - 257
publisher
Springer
external identifiers
  • wos:000236357400006
  • scopus:33645219144
ISSN
0924-9907
DOI
10.1007/s10851-005-3626-y
language
English
LU publication?
yes
id
42e06368-99f9-4d42-9318-d3f1336fe8c7 (old id 415146)
date added to LUP
2007-08-24 09:22:34
date last changed
2019-02-20 08:28:35
@article{42e06368-99f9-4d42-9318-d3f1336fe8c7,
  abstract     = {In this paper algorithms for affine reconstruction from translational motion under various auto calibration constraints are presented. A general geometric constraint, expressed using the camera matrices, is derived and this constraint is used in a least square solution to the problem. Necessary and sufficient conditions for critical motions are derived and shown to depend on the knowledge of the intrinsic parameters of the camera. Experiments on simulated data are performed to evaluate the noise sensitivity of the algorithms and the reconstruction quality for motions close to being critical. An experiment is performed on real data to illustrate that the method works in practice.},
  author       = {Hammarstedt, P and Kahl, Fredrik and Heyden, Anders},
  issn         = {0924-9907},
  keyword      = {translational motion,structure and motion estimation,affine geometry,critical motions},
  language     = {eng},
  number       = {2},
  pages        = {245--257},
  publisher    = {Springer},
  series       = {Journal of Mathematical Imaging and Vision},
  title        = {Affine reconstruction from translational motion under various autocalibration constraints},
  url          = {http://dx.doi.org/10.1007/s10851-005-3626-y},
  volume       = {24},
  year         = {2006},
}