Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Minimal projective reconstruction for combinations of points and lines in three views

Oskarsson, Magnus LU orcid ; Zisserman, A and Åström, Karl LU orcid (2004) In Image and Vision Computing 22(10). p.777-785
Abstract
In this article we address the problem of projective reconstruction of structure and motion given only image data. In particular we investigate three novel minimal combinations of points and lines over three views, and give complete solutions and reconstruction methods for two of these cases: 'four points and three lines in three views', and 'two points and six lines in three views'. We show that in general there are three and seven solutions, respectively, to these cases. The reconstruction methods are tested on real and simulated data. We also give tentative results for the case of nine lines in correspondence over three views, where experiments indicate that there may be up to 36 complex solutions. (C) 2004 Elsevier B.V. All rights... (More)
In this article we address the problem of projective reconstruction of structure and motion given only image data. In particular we investigate three novel minimal combinations of points and lines over three views, and give complete solutions and reconstruction methods for two of these cases: 'four points and three lines in three views', and 'two points and six lines in three views'. We show that in general there are three and seven solutions, respectively, to these cases. The reconstruction methods are tested on real and simulated data. We also give tentative results for the case of nine lines in correspondence over three views, where experiments indicate that there may be up to 36 complex solutions. (C) 2004 Elsevier B.V. All rights reserved. (Less)
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
projective reconstruction, points and lines, conics
in
Image and Vision Computing
volume
22
issue
10
pages
777 - 785
publisher
Elsevier
external identifiers
  • wos:000222889300005
  • scopus:3142671588
ISSN
0262-8856
DOI
10.1016/j.imavis.2004.02.004
language
English
LU publication?
yes
id
f93f7d3a-72f0-4e49-9515-0180ba1fc1ba (old id 272460)
date added to LUP
2016-04-01 16:59:25
date last changed
2022-01-28 23:33:56
@article{f93f7d3a-72f0-4e49-9515-0180ba1fc1ba,
  abstract     = {{In this article we address the problem of projective reconstruction of structure and motion given only image data. In particular we investigate three novel minimal combinations of points and lines over three views, and give complete solutions and reconstruction methods for two of these cases: 'four points and three lines in three views', and 'two points and six lines in three views'. We show that in general there are three and seven solutions, respectively, to these cases. The reconstruction methods are tested on real and simulated data. We also give tentative results for the case of nine lines in correspondence over three views, where experiments indicate that there may be up to 36 complex solutions. (C) 2004 Elsevier B.V. All rights reserved.}},
  author       = {{Oskarsson, Magnus and Zisserman, A and Åström, Karl}},
  issn         = {{0262-8856}},
  keywords     = {{projective reconstruction; points and lines; conics}},
  language     = {{eng}},
  number       = {{10}},
  pages        = {{777--785}},
  publisher    = {{Elsevier}},
  series       = {{Image and Vision Computing}},
  title        = {{Minimal projective reconstruction for combinations of points and lines in three views}},
  url          = {{http://dx.doi.org/10.1016/j.imavis.2004.02.004}},
  doi          = {{10.1016/j.imavis.2004.02.004}},
  volume       = {{22}},
  year         = {{2004}},
}