A lie group approach to steerable filters

  • Authors:
  • Markus Michaelis;Gerald Sommer

  • Affiliations:
  • GSF-Medis, Neuherberg. D-85764 Oberschleiβheim, Germany;Institut für Informatik, Christian-Albrechts-Universität, D-24105 Kiel, Germany

  • Venue:
  • Pattern Recognition Letters
  • Year:
  • 1995

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Abstract

Recently, Freeman and Adelson (1991) and Simoncelli et al. (1992) published an approach to steer filters in their orientation and scale by Fourier decompositions. We present a generalization of their formalism based on Lie group theory. Within this framework we especially clarify the following points: (I) the possible scope of steerability by Fourier decompositions. (2) approximate steerability with a limited number of basis functions, (3) the singularity that occurs when steering the scale.