P-Laplacian Driven Image Processing

In this work, we take a novel line of approaches to evolve images. It is motivated by the total variation method, known for its denoising and edge-preserving effect. Our approach generalises the TV method by taking a general Lp norm of the gradients instead of the L1 in the TV method. We generalise this method in a series of first and second order derivatives in terms of gauge coordinates. This method also incorporates the well-known blurring by a Gaussian filter and the balanced forward - backward diffusion. The method and its properties are briefly discussed. The practical results are visualised on a real-life image, showing the expected behaviour. When a constraint is added that penalises the distance of the results to the input image, one can vary the desired amount of blurring and denoising.

• Type: Conference
• Year: 2007
• Where: ICIP
• Authors: Arjan Kuijper
• Keywords: Backward Diffusion, Gaussian Filter, General Lp Norm, ICIP 2007, Image Processing, Total Variation Method, TV Method