The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

An algebraic/analytic method for reconstruction from image correspondences

På svenska

Author

Editor

  • Peter Johansen
  • Soeren Olsen

Summary, in English

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

Publishing year

1991

Language

English

Pages

274-281

Publication/Series

Theory & applications of image analysis (Series in machine perception and artificial intelligence)

Document type

Conference paper

Publisher

World Scientific Publishing

Topic

  • Mathematics

Keywords

  • picture processing

Conference name

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

Conference date

1991-08-13 - 1991-08-16

Conference place

Aalborg, Denmark

Status

Published

ISBN/ISSN/Other

  • ISBN: 9810209452