On Tensor-Based PDEs and Their Corresponding Variational Formulations with Application to Color Image Denoising

  • Freddie Åström
  • George Baravdish
  • Michael Felsberg
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7574)


The case when a partial differential equation (PDE) can be considered as an Euler-Lagrange (E-L) equation of an energy functional, consisting of a data term and a smoothness term is investigated. We show the necessary conditions for a PDE to be the E-L equation for a corresponding functional. This energy functional is applied to a color image denoising problem and it is shown that the method compares favorably to current state-of-the-art color image denoising techniques.


Color Image Variational Formulation Image Structure Image Denoising Outer Product 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Freddie Åström
    • 1
    • 2
  • George Baravdish
    • 3
  • Michael Felsberg
    • 1
    • 2
  1. 1.Computer Vision Laboratory, Department of E.E.Linköping UniversitySweden
  2. 2.Center for Medical Image Science and Visualization (CMIV)Linköping UniversitySweden
  3. 3.Department of Science and TechnologyLinköping UniversitySweden

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