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Camera Resectioning from a Box

Aanæs, Henrik; Josephson, Klas LU ; Anton, François; Bærentzen, J. Andreas and Kahl, Fredrik LU (2009) Scandinavian Conferences on Image Analysis In Lecture Notes in Computer Science
Abstract
In this paper we describe how we can do camera resectioning from a box with unknown dimensions, i.e. determine the camera model, assuming that image pixels are square. This assumption is equivalent to assuming that the camera as an aspect ratio of one and zero skew, and holds for most - if not all - digital cameras. Our proposed method works by first deriving 9 linear constraints on the projective camera matrix from the box, leaving a 3 dimensional subspace in which the projective camera matrix can lye. A single solution in this 3D subspace is then found via a method by Triggs in 1999, which uses the squared pixel assumption to set up a 4th degree polynomial to which the solution is the desired model. This approach is, however, numerically... (More)
In this paper we describe how we can do camera resectioning from a box with unknown dimensions, i.e. determine the camera model, assuming that image pixels are square. This assumption is equivalent to assuming that the camera as an aspect ratio of one and zero skew, and holds for most - if not all - digital cameras. Our proposed method works by first deriving 9 linear constraints on the projective camera matrix from the box, leaving a 3 dimensional subspace in which the projective camera matrix can lye. A single solution in this 3D subspace is then found via a method by Triggs in 1999, which uses the squared pixel assumption to set up a 4th degree polynomial to which the solution is the desired model. This approach is, however, numerically challenging, and we use several means to combat this issue. Lastly the solution is refined in an iterative manner, i.e. using bundle adjustment. (Less)
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
Multiple view geometry, 3D modelling, Camera resectioning
in
Lecture Notes in Computer Science
pages
10 pages
publisher
Springer
conference name
Scandinavian Conferences on Image Analysis
external identifiers
  • scopus:70350646845
ISSN
1611-3349
0302-9743
language
English
LU publication?
yes
id
c4489d89-7827-4c96-8205-29b4433c8492 (old id 1392838)
date added to LUP
2009-05-05 13:10:57
date last changed
2017-01-01 04:30:34
@inproceedings{c4489d89-7827-4c96-8205-29b4433c8492,
  abstract     = {In this paper we describe how we can do camera resectioning from a box with unknown dimensions, i.e. determine the camera model, assuming that image pixels are square. This assumption is equivalent to assuming that the camera as an aspect ratio of one and zero skew, and holds for most - if not all - digital cameras. Our proposed method works by first deriving 9 linear constraints on the projective camera matrix from the box, leaving a 3 dimensional subspace in which the projective camera matrix can lye. A single solution in this 3D subspace is then found via a method by Triggs in 1999, which uses the squared pixel assumption to set up a 4th degree polynomial to which the solution is the desired model. This approach is, however, numerically challenging, and we use several means to combat this issue. Lastly the solution is refined in an iterative manner, i.e. using bundle adjustment.},
  author       = {Aanæs, Henrik and Josephson, Klas and Anton, François and Bærentzen, J. Andreas and Kahl, Fredrik},
  booktitle    = {Lecture Notes in Computer Science},
  issn         = {1611-3349},
  keyword      = {Multiple view geometry,3D modelling,Camera resectioning},
  language     = {eng},
  pages        = {10},
  publisher    = {Springer},
  title        = {Camera Resectioning from a Box},
  year         = {2009},
}