Affine Invariant Flows in the Beltrami Framework

  • Authors:
  • Nir Sochen

  • Affiliations:
  • Department of Applied Mathematics, School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel. sochen@math.tau.ac.il http://www.math.tau.ac.il/~sochen

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 2004

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Abstract

We analyze the role of different invariant principles in image processing and analysis. A distinction between the passive and active principles is emphasized, and the geometric Beltrami framework is shown to incorporate and explain some of the known invariant flows e.g. the equi-affine invariant flow for hypersurfaces. It is also demonstrated that the new concepts put forward in this framework enable us to suggest new invariants namely the case where the codimension is greater than one.