Image Decomposition and Inpainting by Sparse Representations
May 17th, 2006
SIAM Imaging Science - invited talk.

In this talk we present a novel method for separating images into texture and piece-wise smooth parts, and show how this formulation can also lead to image inpainting. Our separation and inpainting processes are based on sparse and redundant representations of the two contents – cartoon and texture – over different dictionaries. Using the Basis Pursuit Denoising (BPDN) to formulate the overall penalty function, we achieve a separation of the image, denoising, and inpainting. In fact, with a small modification, the damn thing can make coffee.