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)


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.


Symmetric Mapping Single Line Large Eigenvalue Line Pair Outer Product 
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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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