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

Freddie Åström, George Baravdish, Michael Felsberg
ECCV 2012 pp. 215-228
doi:10.1007/978-3-642-33712-3_16 /eccv/2012/astrom2012eccv-tensor/

Abstract

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.

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Cite

Text

Åström et al. "On Tensor-Based PDEs and Their Corresponding Variational Formulations with Application to Color Image Denoising." European Conference on Computer Vision, 2012. doi:10.1007/978-3-642-33712-3_16

Markdown

[Åström et al. "On Tensor-Based PDEs and Their Corresponding Variational Formulations with Application to Color Image Denoising." European Conference on Computer Vision, 2012.](https://mlanthology.org/eccv/2012/astrom2012eccv-tensor/) doi:10.1007/978-3-642-33712-3_16

BibTeX

@inproceedings{astrom2012eccv-tensor,
  title     = {{On Tensor-Based PDEs and Their Corresponding Variational Formulations with Application to Color Image Denoising}},
  author    = {Åström, Freddie and Baravdish, George and Felsberg, Michael},
  booktitle = {European Conference on Computer Vision},
  year      = {2012},
  pages     = {215-228},
  doi       = {10.1007/978-3-642-33712-3_16},
  url       = {https://mlanthology.org/eccv/2012/astrom2012eccv-tensor/}
}