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Triangulating a Plane

Olsson, Carl LU and Eriksson, Anders (2011) 17th Scandinavian Conference on Image Analysis (SCIA 2011) In Lecture Notes in Computer Science (Image Analysis : 17th Scandinavian Conference, SCIA 2011, Ystad, Sweden, May 2011. Proceedings) 6688. p.13-23
Abstract
In this theoretical paper we consider the problem of accurately triangulating a scene plane. Rather than first triangulating a set of points and then fitting a plane to these points, we try to minimize the back-projection errors as functions of the plane parameters directly. As this is both geometrically and statistically meaningful our method performs better than the standard two step procedure. Furthermore, we show that the error residuals of this formulation are quasiconvex thereby making it very easy to solve using for example standard local optimization methods.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Triangulation, convex optimization, computer vision
in
Lecture Notes in Computer Science (Image Analysis : 17th Scandinavian Conference, SCIA 2011, Ystad, Sweden, May 2011. Proceedings)
editor
Anders, Heyden; Fredrik, Kahl; and
volume
6688
pages
11 pages
publisher
Springer
conference name
17th Scandinavian Conference on Image Analysis (SCIA 2011)
external identifiers
  • wos:000308543900002
  • scopus:79957530523
ISSN
0302-9743
1611-3349
ISBN
978-3-642-21226-0 (print)
978-3-642-21227-7 (online)
DOI
10.1007/978-3-642-21227-7_2
language
English
LU publication?
yes
id
feb06f03-7ead-4c29-9bf4-cafd84dba541 (old id 3327379)
date added to LUP
2013-03-22 20:20:02
date last changed
2017-01-01 03:14:34
@inproceedings{feb06f03-7ead-4c29-9bf4-cafd84dba541,
  abstract     = {In this theoretical paper we consider the problem of accurately triangulating a scene plane. Rather than first triangulating a set of points and then fitting a plane to these points, we try to minimize the back-projection errors as functions of the plane parameters directly. As this is both geometrically and statistically meaningful our method performs better than the standard two step procedure. Furthermore, we show that the error residuals of this formulation are quasiconvex thereby making it very easy to solve using for example standard local optimization methods.},
  author       = {Olsson, Carl and Eriksson, Anders},
  booktitle    = {Lecture Notes in Computer Science (Image Analysis : 17th Scandinavian Conference, SCIA 2011, Ystad, Sweden, May 2011. Proceedings)},
  editor       = {Anders, Heyden and Fredrik, Kahl},
  isbn         = {978-3-642-21226-0 (print)},
  issn         = {0302-9743},
  keyword      = {Triangulation,convex optimization,computer vision},
  language     = {eng},
  pages        = {13--23},
  publisher    = {Springer},
  title        = {Triangulating a Plane},
  url          = {http://dx.doi.org/10.1007/978-3-642-21227-7_2},
  volume       = {6688},
  year         = {2011},
}