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An algebraic/analytic method for reconstruction from image correspondences

In English

Författare

Redaktör

  • 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

Avdelning/ar

Publiceringsår

1991

Språk

Engelska

Sidor

274-281

Publikation/Tidskrift/Serie

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

Dokumenttyp

Konferensbidrag

Förlag

World Scientific Publishing

Ämne

  • Mathematics

Nyckelord

  • 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/Övrigt

  • ISBN: 9810209452