Energy Tensors: Quadratic, Phase Invariant Image Operators

  • Michael Felsberg
  • Erik Jonsson
Conference paper

DOI: 10.1007/11550518_61

Volume 3663 of the book series Lecture Notes in Computer Science (LNCS)
Cite this paper as:
Felsberg M., Jonsson E. (2005) Energy Tensors: Quadratic, Phase Invariant Image Operators. In: Kropatsch W.G., Sablatnig R., Hanbury A. (eds) Pattern Recognition. DAGM 2005. Lecture Notes in Computer Science, vol 3663. Springer, Berlin, Heidelberg

Abstract

In this paper we briefly review a not so well known quadratic, phase invariant image processing operator, the energy operator, and describe its tensor-valued generalization, the energy tensor. We present relations to the real-valued and the complex valued energy operators and discuss properties of the three operators. We then focus on the discrete implementation for estimating the tensor based on Teager’s algorithm and frame theory. The kernels of the real-valued and the tensor-valued operators are formally derived. In a simple experiment we compare the energy tensor to other operators for orientation estimation. The paper is concluded with a short outlook to future work.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Michael Felsberg
    • 1
  • Erik Jonsson
    • 1
  1. 1.Computer Vision LaboratoryLinköping UniversityLinköpingSweden