On Debiasing Restoration Algorithms: Applications to Total-Variation and Nonlocal-Means
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- Deledalle CA., Papadakis N., Salmon J. (2015) On Debiasing Restoration Algorithms: Applications to Total-Variation and Nonlocal-Means. In: Aujol JF., Nikolova M., Papadakis N. (eds) Scale Space and Variational Methods in Computer Vision. SSVM 2015. Lecture Notes in Computer Science, vol 9087. Springer, Cham
Bias in image restoration algorithms can hamper further analysis, typically when the intensities have a physical meaning of interest, e.g., in medical imaging. We propose to suppress a part of the bias – the method bias – while leaving unchanged the other unavoidable part – the model bias. Our debiasing technique can be used for any locally affine estimator including \(\ell _1\) regularization, anisotropic total-variation and some nonlocal filters.
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