On the Use of Low-Pass Filters for Image Processing with Inverse Laplacian Models

  title={On the Use of Low-Pass Filters for Image Processing with Inverse Laplacian Models},
  author={Rehan Ali and T{\"u}nde Szil{\'a}gyi and Mark Gooding and Martin Christlieb and Michael Brady},
  journal={Journal of Mathematical Imaging and Vision},
A novel signal processing-oriented approach to solving problems involving inverse Laplacians is introduced. The Monogenic Signal is a powerful method of computing the phase of discrete signals in image data, however it is typically used with band-pass filters in the capacity of a feature detector. Substituting low-pass filters allows the Monogenic Signal to produce approximate solutions to the inverse Laplacian, with the added benefit of tunability and the generation of three equivariant… CONTINUE READING
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