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A Second-Order Extension of TV Regularization for Image Deblurring

Z. Dogan, S. Lefkimmiatis, A. Bourquard, M. Unser

Proceedings of the 2011 IEEE International Conference on Image Processing (ICIP'11), Brussels, Kingdom of Belgium, September 11-14, 2011, pp. 713-716.



In this paper, we propose a novel second-order regularizer based on the maximum response of the second-order directional derivative, assuming that the image under consideration belongs to the class of piecewise-linear signals. Compared to total-variation regularization that preserves edges but transforms piecewise-smooth regions into piecewise-constant regions, the proposed model is able to restore piecewise-linear regions and finer details. Deconvolution experiments demonstrate the performance of our approach in terms of the quality of reconstruction.


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