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Projekt
Beziehungen zwischen nichtlinearen Filtern in der digitalen Bildverarbeitung
Antragsteller
Professor Dr. Joachim Weickert
Fachliche Zuordnung
Mathematik
Förderung
Förderung von 2001 bis 2009
Projektkennung
Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 5333820
Nonlinear filters are very popular for image restoration, since they allow denoising without deterioration of edges. Although many different methodologies have been developed in parallel, their connections have hardly been studied so far. In this project we intend to examine the relations between three important classes of nonlinear filters, namely local discrete filters, diffusion filters and wavelet techniques. We will analyse these relations not only theoretically but we will also study numerical implementations and perform practical evaluations. In order to derive a unifying description of the three classes, we investigate formulations in terms of unconstrained optimization problems, discrete weighted averaging methods and parabolic partial differential equations (PDEs). We will compare the different techniques both for synthetical images as well as for widely used real-world test images.
DFG-Verfahren
Schwerpunktprogramme
