A Short Introduction to Diffusion-Like Methods

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Hanno Scharr, Kai Krajsek

Published: 2012, Last Modified: 05 Mar 2025Mathematical Methods for Signal and Image Analysis and Representation 2012EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: This contribution aims to give a basic introduction to diffusion-like methods. There are many different methods commonly used for regularization tasks. Some of them will be briefly introduced and their connection to diffusion shown. In addition to this we will go into some detail for diffusion-like methods in a narrower sense, i.e. methods based on PDEs similar to diffusion PDEs known from physics. Main issues highlighted here are which PDE to use, how diffusivities in such a PDE are constructed, and which discretization is suitable for a given task.