Image Inpainting Based Coherence Transport
In image processing the term Image Inpainting means the retouching of damaged or undesired portions of a picture. From the mathematicians point of view it is a problem of data interpolation, subject to the side condition that the completed image shall look visually plausible. In the last two decades different approaches, using PDE models from order 2 up to 4, have shown that PDE techniques are fruitful here. In this talk we present an Image Inpainting method based on a transport PDE, a PDE of first order. The transport field is constructed from coherence information which we obtain by applying structure tensor analysis. We will demonstrate applications, and discuss the algorithm as well as the analysis of the underlying model.