PDE-Based Deconvolution with Forward-Backward Diffusivities and Diffusion Tensors

  title={PDE-Based Deconvolution with Forward-Backward Diffusivities and Diffusion Tensors},
  author={Martin Welk and David Theis and Thomas Brox and Joachim Weickert},
Deblurring with a spatially invariant kernel of arbitrary shape is a frequent problem in image processing. We address this task by studying nonconvex variational functionals that lead to diffusion-reaction equations of Perona–Malik type. Further we consider novel deblurring PDEs with anisotropic diffusion tensors. In order to improve deblurring quality we propose a continuation strategy in which the diffusion weight is reduced during the process. To evaluate our methods, we compare them to two… CONTINUE READING
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