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Rectification from radially-distorted scales

Pritts, James ; Kukelova, Zuzana ; Larsson, Viktor LU and Chum, Ondřej (2018) 14th Asian Conference on Computer Vision (ACCV 2018) In Lecture notes in computer science (LNCS) 11365. p.36-52
Abstract
This paper introduces the first minimal solvers that jointly estimate lens distortion and affine rectification from repetitions of rigidly-transformed coplanar local features. The proposed solvers incorporate lens distortion into the camera model and extend accurate rectification to wide-angle images that contain nearly any type of coplanar repeated content. We demonstrate a principled approach to generating stable minimal solvers by the Gröbner basis method, which is accomplished by sampling feasible monomial bases to maximize numerical stability. Synthetic and real-image experiments confirm that the solvers give accurate rectifications from noisy measurements if used in a ransac-based estimator. The proposed solvers demonstrate superior... (More)
This paper introduces the first minimal solvers that jointly estimate lens distortion and affine rectification from repetitions of rigidly-transformed coplanar local features. The proposed solvers incorporate lens distortion into the camera model and extend accurate rectification to wide-angle images that contain nearly any type of coplanar repeated content. We demonstrate a principled approach to generating stable minimal solvers by the Gröbner basis method, which is accomplished by sampling feasible monomial bases to maximize numerical stability. Synthetic and real-image experiments confirm that the solvers give accurate rectifications from noisy measurements if used in a ransac-based estimator. The proposed solvers demonstrate superior robustness to noise compared to the state of the art. The solvers work on scenes without straight lines and, in general, relax strong assumptions about scene content made by the state of the art. Accurate rectifications on imagery taken with narrow focal length to fisheye lenses demonstrate the wide applicability of the proposed method. The method is automatic, and the code is published at https://github.com/prittjam/repeats. (Less)
Please use this url to cite or link to this publication:
author
; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Rectification, Radial lens distortion, Repeated patterns
host publication
Computer Vision – ACCV 2018 : 14th Asian Conference on Computer Vision, Perth, Australia, December 2–6, 2018, Revised Selected Papers, Part V - 14th Asian Conference on Computer Vision, Perth, Australia, December 2–6, 2018, Revised Selected Papers, Part V
series title
Lecture notes in computer science (LNCS)
volume
11365
pages
17 pages
publisher
Springer
conference name
14th Asian Conference on Computer Vision (ACCV 2018)
conference location
Perth, Australia
conference dates
2018-12-02 - 2018-12-06
external identifiers
  • scopus:85066805073
ISSN
1611-3349
0302-9743
ISBN
978-3-030-20873-8
978-3-030-20872-1
DOI
10.1007/978-3-030-20873-8_3
language
English
LU publication?
yes
id
e7625707-0e9c-43ed-8b0c-db8b5328dc40
date added to LUP
2022-09-06 11:41:25
date last changed
2024-03-06 12:59:59
@inproceedings{e7625707-0e9c-43ed-8b0c-db8b5328dc40,
  abstract     = {{This paper introduces the first minimal solvers that jointly estimate lens distortion and affine rectification from repetitions of rigidly-transformed coplanar local features. The proposed solvers incorporate lens distortion into the camera model and extend accurate rectification to wide-angle images that contain nearly any type of coplanar repeated content. We demonstrate a principled approach to generating stable minimal solvers by the Gröbner basis method, which is accomplished by sampling feasible monomial bases to maximize numerical stability. Synthetic and real-image experiments confirm that the solvers give accurate rectifications from noisy measurements if used in a ransac-based estimator. The proposed solvers demonstrate superior robustness to noise compared to the state of the art. The solvers work on scenes without straight lines and, in general, relax strong assumptions about scene content made by the state of the art. Accurate rectifications on imagery taken with narrow focal length to fisheye lenses demonstrate the wide applicability of the proposed method. The method is automatic, and the code is published at https://github.com/prittjam/repeats.}},
  author       = {{Pritts, James and Kukelova, Zuzana and Larsson, Viktor and Chum, Ondřej}},
  booktitle    = {{Computer Vision – ACCV 2018 : 14th Asian Conference on Computer Vision, Perth, Australia, December 2–6, 2018, Revised Selected Papers, Part V}},
  isbn         = {{978-3-030-20873-8}},
  issn         = {{1611-3349}},
  keywords     = {{Rectification; Radial lens distortion; Repeated patterns}},
  language     = {{eng}},
  pages        = {{36--52}},
  publisher    = {{Springer}},
  series       = {{Lecture notes in computer science (LNCS)}},
  title        = {{Rectification from radially-distorted scales}},
  url          = {{http://dx.doi.org/10.1007/978-3-030-20873-8_3}},
  doi          = {{10.1007/978-3-030-20873-8_3}},
  volume       = {{11365}},
  year         = {{2018}},
}