Saarland University | Mathematical Image Analysis Group

Nonlinear Diffusion Filtering: Some Examples

Copyright by Joachim Weickert. No part of this page may be reproduced without permission. All images are downsampled or compressed, and they are of poorer quality than those used in publications.

Denoising by edge-enhancing anisotropic diffusion

test image filtered test image left image: test image with 70 % of all pixels degraded. Taken from the software package MegaWave.

right image: restoration


Gap completion by coherence-enhancing anisotropic diffusion

fingerprint filtered fingerprint left image: fingerprint

right image: after nonlinear diffusion filtering


An application in computer aided quality control

wood surface filtered wood surface left image: wood surface with a defect

right image: defect visualization after nonlinear diffusion filtering


An application in medical imaging

foetus left: rendering of a 3-D ultrasound data set of a 10-week old human foetus

right: rendering after denoising by nonlinear diffusion filtering


An application to the design of Christmas postcards

forest image filtered left image: winter near Merzalben (Palatinate Forest, Germany). Photo by Dr. Martin Reißel.

right image: after applying coherence-enhancing anisotropic diffusion


If you are interested in learning more about nonlinear diffusion filtering in general, you can download a review paper. A more detailed treatment and an overview of related PDE-based methods can be found in my book.

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Joachim Weickert / August 12, 2002 / back to MIA home.
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