“A texture synthesis approach to elastica inpainting” by Ni, Roble and Chan

We present a new, fully automatic technique for wire and scratch removal (inpainting) that works well in both textured and non-textured areas of an image. [Chan et al. 2002] introduced a technique for inpainting using an Euler’s elastica energy-based variational model that works well for repairing smooth areas of the image while maintaining edge detail. The technique is very slow (due to a stiff, 4th order PDE) and difficult to control. [Efros and Leung 1999] used texture synthesis techniques for inpainting and hole filling. This works well for areas of an image that contain repeating patterns.

1. Chan, T., Kang, S., and Shen, J. 2002. Euler’s elastica and curvature based inpaintings. J. Appl. Math. in press.
2. Efros, A. A., and Leung, T. K. 1999. Texture synthesis by non-parametric sampling. In IEEE International Conference on Computer Vision, 1033–1038.