Diffusion-Inspired Shrinkage Functions and Stability Results for Wavelet Denoising

@article{Mrzek2005DiffusionInspiredSF,
  title={Diffusion-Inspired Shrinkage Functions and Stability Results for Wavelet Denoising},
  author={Pavel Mr{\'a}zek and J. Weickert and G. Steidl},
  journal={International Journal of Computer Vision},
  year={2005},
  volume={64},
  pages={171-186}
}
  • Pavel Mrázek, J. Weickert, G. Steidl
  • Published 2005
  • Mathematics, Computer Science
  • International Journal of Computer Vision
  • We study the connections between discrete one-dimensional schemes for nonlinear diffusion and shift-invariant Haar wavelet shrinkage. We show that one step of a (stabilised) explicit discretisation of nonlinear diffusion can be expressed in terms of wavelet shrinkage on a single spatial level. This equivalence allows a fruitful exchange of ideas between the two fields. In this paper we derive new wavelet shrinkage functions from existing diffusivity functions, and identify some previously used… CONTINUE READING
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