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Revisiting Trifocal Tensor Estimation Using Lines

Kuang, Yubin LU ; Oskarsson, Magnus LU and Åström, Karl LU (2014) 22nd International Conference on Pattern Recognition (ICPR 2014) In Pattern Recognition (ICPR), 2014 22nd International Conference on p.2419-2423
Abstract
In this paper, we revisit the problem of estimating the trifocal tensor from image line measurements. With measurements of corresponding lines in three views, a linear method [1] requiring 13 lines was developed to estimate the trifocal tensor from which projective reconstruction of the scene is made possible. By further utilizing the nonlinear constraints on the trifocal tensor, we propose several new linear solvers that require fewer number of lines (10,11,12) than the previous linear method. We use methods based on algebraic geometry to incorporate the non-linear constraints in the estimation. We demonstrate the performance of the proposed solvers on synthetic data. We also test the solvers on real images and obtain promising results.
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
Pattern Recognition (ICPR), 2014 22nd International Conference on
pages
5 pages
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
conference name
22nd International Conference on Pattern Recognition (ICPR 2014)
external identifiers
  • wos:000359818002090
  • scopus:84919934810
ISSN
1051-4651
DOI
10.1109/ICPR.2014.419
language
English
LU publication?
yes
id
127ea038-ad83-4ab0-8bc5-e65e7543851c (old id 5052500)
date added to LUP
2015-07-07 12:11:42
date last changed
2017-01-01 05:46:31
@inproceedings{127ea038-ad83-4ab0-8bc5-e65e7543851c,
  abstract     = {In this paper, we revisit the problem of estimating the trifocal tensor from image line measurements. With measurements of corresponding lines in three views, a linear method [1] requiring 13 lines was developed to estimate the trifocal tensor from which projective reconstruction of the scene is made possible. By further utilizing the nonlinear constraints on the trifocal tensor, we propose several new linear solvers that require fewer number of lines (10,11,12) than the previous linear method. We use methods based on algebraic geometry to incorporate the non-linear constraints in the estimation. We demonstrate the performance of the proposed solvers on synthetic data. We also test the solvers on real images and obtain promising results.},
  author       = {Kuang, Yubin and Oskarsson, Magnus and Åström, Karl},
  booktitle    = {Pattern Recognition (ICPR), 2014 22nd International Conference on},
  issn         = {1051-4651},
  language     = {eng},
  pages        = {2419--2423},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  title        = {Revisiting Trifocal Tensor Estimation Using Lines},
  url          = {http://dx.doi.org/10.1109/ICPR.2014.419},
  year         = {2014},
}