Abstract for February 28, 2006

Gloria Haro Ortega: Image restoration: irregular to regular sampling, deconvolution, denoising and zooming.

We propose an algorithm to solve a problem in image restoration which considers different aspects of a general image acquisition system, namely: irregular (or perturbed) sampling, noise and blur. Our algorithm is based on an extension of a previous image denoising algorithm proposed by A. Chambolle using total variation, combined with irregular to regular sampling algorithms proposed by K. Gröchenig et al. The variational problem allows to recover a zoomed version of the image and to preserve textures as well.

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