Representing Pairs of Orientations in the Plane

  • Magnus Herberthson
  • Anders Brun
  • Hans Knutsson
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4522)

Abstract

In this article we present a way of representing pairs of orientations in the plane. This is an extension of the familiar way of representing single orientations in the plane. Using this framework, pairs of lines can be added, scaled and averaged over in a sense which is to be described. In particular, single lines can be incorporated and handled simultaneously.

Keywords

Symmetric Mapping Single Line Large Eigenvalue Line Pair Outer Product 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Knutsson, H.: Representing Local Structure Using Tensors. In: The 6th Scandinavian Conference on Image Analysis, Oulu, Finland (1989)Google Scholar
  2. 2.
    Wald, R.M.: General Relativity. University of Chicago Press, Chicago (1984)MATHGoogle Scholar

Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • Magnus Herberthson
    • 1
  • Anders Brun
    • 2
  • Hans Knutsson
    • 2
  1. 1.Department of Mathematics, Linköping UniversitySweden
  2. 2.Department of Biomedical Engineering, Linköping UniversitySweden

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