Noisy imagery constitutes a very frequent problem, appearing e.g. in
digital images that have been acquired under poor illumination conditions,
or in ultrasound images arising in medical imaging.
Thus, one of the most important problems in digital image processing
consists of denoising severely degraded images while preserving
important structures such as edges. Methods that are based on physical
equilibration processes like diffusion or heat conduction have led
to substantial progress in this field.
Nonlinear diffusion filtering is the oldest research field of our group members. Already in 1991, Joachim Weickert has started to perform research in this area. Here are some of the main results that have been obtained since then.
Some of our other research fields have been directly influenced
by our results on nonlinear diffusion filtering. For more details, go back