Triangulating a Plane
(2011) 17th Scandinavian Conference on Image Analysis (SCIA 2011) 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:
https://lup.lub.lu.se/record/3327379
- author
- Olsson, Carl LU and Eriksson, Anders
- organization
- publishing date
- 2011
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- Triangulation, convex optimization, computer vision
- host publication
- Lecture Notes in Computer Science (Image Analysis : 17th Scandinavian Conference, SCIA 2011, Ystad, Sweden, May 2011. Proceedings)
- editor
- Anders, Heyden and Fredrik, Kahl
- volume
- 6688
- pages
- 11 pages
- publisher
- Springer
- conference name
- 17th Scandinavian Conference on Image Analysis (SCIA 2011)
- conference location
- Ystad, Sweden
- conference dates
- 2011-05-23 - 2011-05-27
- 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
- 2016-04-01 10:03:53
- date last changed
- 2025-04-04 14:26:18
@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}},
keywords = {{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}},
doi = {{10.1007/978-3-642-21227-7_2}},
volume = {{6688}},
year = {{2011}},
}