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Affine and Projective Normalization of Planar Curves and Regions

Author

Editor

  • Jan-Olof Eklundh

Summary, in English

Recent research has shown that invariant indexing can speed up the recognition process in computer vision. Extraction of invariant features can be done by choosing first a canonical reference frame, and then features in this reference frame. This paper gives methods for extracting invariants for planar curves under affine and projective transformations. The invariants can be used semilocally to recognize occluded objects. For affine transformations, there are methods giving a unique reference frame, with continuity in the Hausdorff metric. This is not possible in the projective case. Continuity can, however, be kept by sacrificing uniqueness

Publishing year

1994

Language

English

Pages

439-448

Publication/Series

Computer Vision ECCV'94

Volume

2

Document type

Conference paper

Publisher

Springer

Topic

  • Mathematics

Keywords

  • Recognition
  • planar curves
  • projective and affine invariants
  • computational geometry
  • computer vision

Conference name

Proceedings of Third European Conference on Computer Vision, Volume II

Conference date

1994-05-02 - 1994-05-06

Conference place

Stockholm, Sweden

Status

Published

ISBN/ISSN/Other

  • ISBN: 3 540 57957 5