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An algebraic/analytic method for reconstruction from image correspondences

Sparr, Gunnar LU (1991) Theory and Applications of Image Analysis. Selected Papers from the 7th Scandinavian Conference In Theory & applications of image analysis (Series in machine perception and artificial intelligence) p.274-281
Abstract
A method for the reconstruction and motion problems is presented, under the assumption that a number of point correspondences in a pair of images are known. A geometric and algebraic theory is based on invariance properties of point configuration under affine and projective transformations. In particular, a characterization of those image pairs which correspond to the same point configuration in an unknown scene is given. An algorithm along these lines is presented, yielding complete sets of solutions to the reconstruction problem. A main idea is to exploit the affine structure of the problem, and work with relative locations, before turning to the metrical structure and absolute locations. It turns out that relative depth information can... (More)
A method for the reconstruction and motion problems is presented, under the assumption that a number of point correspondences in a pair of images are known. A geometric and algebraic theory is based on invariance properties of point configuration under affine and projective transformations. In particular, a characterization of those image pairs which correspond to the same point configuration in an unknown scene is given. An algorithm along these lines is presented, yielding complete sets of solutions to the reconstruction problem. A main idea is to exploit the affine structure of the problem, and work with relative locations, before turning to the metrical structure and absolute locations. It turns out that relative depth information can be achieved at a low computational cost (Less)
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
picture processing
in
Theory & applications of image analysis (Series in machine perception and artificial intelligence)
editor
Johansen, Peter and Olsen, Soeren
pages
274 - 281
publisher
World Scientific
conference name
Theory and Applications of Image Analysis. Selected Papers from the 7th Scandinavian Conference
ISBN
9810209452
language
English
LU publication?
yes
id
c11e64af-33bb-4f85-92f9-86f6a91a2701 (old id 787483)
date added to LUP
2008-03-31 16:49:40
date last changed
2016-09-29 10:14:48
@inproceedings{c11e64af-33bb-4f85-92f9-86f6a91a2701,
  abstract     = {A method for the reconstruction and motion problems is presented, under the assumption that a number of point correspondences in a pair of images are known. A geometric and algebraic theory is based on invariance properties of point configuration under affine and projective transformations. In particular, a characterization of those image pairs which correspond to the same point configuration in an unknown scene is given. An algorithm along these lines is presented, yielding complete sets of solutions to the reconstruction problem. A main idea is to exploit the affine structure of the problem, and work with relative locations, before turning to the metrical structure and absolute locations. It turns out that relative depth information can be achieved at a low computational cost},
  author       = {Sparr, Gunnar},
  booktitle    = {Theory & applications of image analysis (Series in machine perception and artificial intelligence)},
  editor       = {Johansen, Peter and Olsen, Soeren},
  isbn         = {9810209452},
  keyword      = {picture processing},
  language     = {eng},
  pages        = {274--281},
  publisher    = {World Scientific},
  title        = {An algebraic/analytic method for reconstruction from image correspondences},
  year         = {1991},
}