An algebraic/analytic method for reconstruction from image correspondences

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

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
Original languageEnglish
Title of host publicationTheory & applications of image analysis (Series in machine perception and artificial intelligence)
EditorsPeter Johansen, Soeren Olsen
PublisherWorld Scientific Publishing
Pages274-281
ISBN (Print)9810209452
Publication statusPublished - 1991
EventTheory and Applications of Image Analysis. Selected Papers from the 7th Scandinavian Conference - Aalborg, Denmark
Duration: 1991 Aug 131991 Aug 16

Conference

ConferenceTheory and Applications of Image Analysis. Selected Papers from the 7th Scandinavian Conference
Country/TerritoryDenmark
CityAalborg
Period1991/08/131991/08/16

Subject classification (UKÄ)

  • Mathematics

Keywords

  • picture processing

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