Revisiting Trifocal Tensor Estimation Using Lines

Yubin Kuang; Magnus Oskarsson; Karl Åström

doi:10.1109/ICPR.2014.419

Revisiting Trifocal Tensor Estimation Using Lines

Yubin Kuang, Magnus Oskarsson, Karl Åström

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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.

Original language	English
Title of host publication	Pattern Recognition (ICPR), 2014 22nd International Conference on
Publisher	IEEE - Institute of Electrical and Electronics Engineers Inc.
Pages	2419-2423
Number of pages	5
DOIs	https://doi.org/10.1109/ICPR.2014.419
Publication status	Published - 2014
Event	22nd International Conference on Pattern Recognition (ICPR 2014) - Stockholm, Sweden Duration: 2014 Aug 24 → 2014 Aug 28 Conference number: 22

Publication series

Name
ISSN (Print)	1051-4651

Conference

Conference	22nd International Conference on Pattern Recognition (ICPR 2014)
Country/Territory	Sweden
City	Stockholm
Period	2014/08/24 → 2014/08/28

Subject classification (UKÄ)

Computer Vision and Robotics (Autonomous Systems)
Mathematics

Access to Document

10.1109/ICPR.2014.419

Cite this

@inproceedings{127ea038ad834ab08bc5e65e7543851c,

title = "Revisiting Trifocal Tensor Estimation Using Lines",

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 = "Yubin Kuang and Magnus Oskarsson and Karl {\AA}str{\"o}m",

year = "2014",

doi = "10.1109/ICPR.2014.419",

language = "English",

publisher = "IEEE - Institute of Electrical and Electronics Engineers Inc.",

pages = "2419--2423",

booktitle = "Pattern Recognition (ICPR), 2014 22nd International Conference on",

address = "United States",

note = "22nd International Conference on Pattern Recognition (ICPR 2014) ; Conference date: 24-08-2014 Through 28-08-2014",

}

Kuang, Y, Oskarsson, M & Åström, K 2014, Revisiting Trifocal Tensor Estimation Using Lines. in Pattern Recognition (ICPR), 2014 22nd International Conference on. IEEE - Institute of Electrical and Electronics Engineers Inc., pp. 2419-2423, 22nd International Conference on Pattern Recognition (ICPR 2014), Stockholm, Sweden, 2014/08/24. https://doi.org/10.1109/ICPR.2014.419

TY - GEN

T1 - Revisiting Trifocal Tensor Estimation Using Lines

AU - Kuang, Yubin

AU - Oskarsson, Magnus

AU - Åström, Karl

N1 - Conference code: 22

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

U2 - 10.1109/ICPR.2014.419

DO - 10.1109/ICPR.2014.419

M3 - Paper in conference proceeding

SP - 2419

EP - 2423

BT - Pattern Recognition (ICPR), 2014 22nd International Conference on

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

T2 - 22nd International Conference on Pattern Recognition (ICPR 2014)

Y2 - 24 August 2014 through 28 August 2014

ER -

Revisiting Trifocal Tensor Estimation Using Lines

Abstract

Publication series

Conference

Subject classification (UKÄ)

Access to Document

Fingerprint

Cite this