This is a tutorial about non-linear (scalar) diffusion, modelled using a PDEs (Partial DIfferential Equation) and an efficient way of solving the equation. The solver used here is based on AOS (Additive Operator Splitting) scheme that uses a TDMA (TriDiagonal Matrix Algorithm). The tutorial consists of both a PDF explaining the model and the solver in details, and of a Matlab code. In the the tutorial I have tried to explain all the steps as clearly as possible. The tutorial also serves as a primer into the PDE based image treatment. The figure below shows results, for an image from the DRIVSCO project, using the diffusion function.

Nonlinear image diffusion.

 

From the links below you can download both the tutorial and the realted code:

Download the tutorial (PDF)

See the tutorial on-line

Download the code

 

 

 

Jarno Ralli
Author: Jarno Ralli
Jarno Ralli is a computer vision scientist and a programmer.

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