### An algebraic/analytic method for reconstruction from image correspondences

(1991) Theory and Applications of Image Analysis. Selected Papers from the 7th Scandinavian Conference 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)

Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/787483

- author
- Sparr, Gunnar
^{LU} - organization
- publishing date
- 1991
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- picture processing
- host publication
- Theory & applications of image analysis (Series in machine perception and artificial intelligence)
- editor
- Johansen, Peter and Olsen, Soeren
- pages
- 274 - 281
- publisher
- World Scientific Publishing
- conference name
- Theory and Applications of Image Analysis. Selected Papers from the 7th Scandinavian Conference
- conference location
- Aalborg, Denmark
- conference dates
- 1991-08-13 - 1991-08-16
- ISBN
- 9810209452
- language
- English
- LU publication?
- yes
- id
- c11e64af-33bb-4f85-92f9-86f6a91a2701 (old id 787483)
- date added to LUP
- 2016-04-04 11:47:31
- date last changed
- 2021-01-25 10:54:25

@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}}, keywords = {{picture processing}}, language = {{eng}}, pages = {{274--281}}, publisher = {{World Scientific Publishing}}, title = {{An algebraic/analytic method for reconstruction from image correspondences}}, year = {{1991}}, }