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Scale-Covariant and Scale-Invariant Gaussian Derivative Networks Read chapter Read first chapter

2021 | OriginalPaper | Chapter

Residual Whiteness Principle for Automatic Parameter Selection in \(\ell _2\)-\(\ell _2\) Image Super-Resolution Problems

Authors : Monica Pragliola, Luca Calatroni, Alessandro Lanza, Fiorella Sgallari

Published in: Scale Space and Variational Methods in Computer Vision

Publisher: Springer International Publishing

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Abstract

We propose an automatic parameter selection strategy for variational image super-resolution of blurred and down-sampled images corrupted by additive white Gaussian noise (AWGN) with unknown standard deviation. By exploiting particular properties of the operators describing the problem in the frequency domain, our strategy selects the optimal parameter as the one optimising a suitable residual whiteness measure. Numerical tests show the effectiveness of the proposed strategy for generalised \(\ell _2\)-\(\ell _2\) Tikhonov problems.

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previous chapter Splines for Image Metamorphosis
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Literature
1.
Chen, A.Z., Huo, B.X., Wen, C.Y.: Adaptive regularization for color image restoration using discrepancy principle. ICSPCC 2013, 1–6 (2013)
2.
Clason, C.: Regularization of Inverse Problems. Kluwer, Dordrecht (1996)
3.
4.
Hansen, P.: Rank-deficient and discrete ill-posed problems: numerical aspects of linear inversion (1987)
5.
Lanza, A., Morigi, S., Sciacchitano, F., Sgallari, F.: Whiteness constraints in a unified variational framework for image restoration. J. Math. Imaging Vis. 60, 1503–1526 (2018)MathSciNetCrossRef
6.
Lanza, A., Pragliola, M., Sgallari, F.: Residual whiteness principle for parameter-free image restoration. Electron. Trans. Numer. Anal. 53, 329–351 (2020)MathSciNetCrossRef
7.
Paul Riot. Blancheur du résidu pour le débruitage d’image. Ph.D. thesis (2018)
8.
Robinson, M.D., Farsiu, S., Lo, J.Y., Milanfar, P., Toth, C.: Efficient registration of aliased x-ray images. ACSSC 215–219 (2007)
9.
Toma, A., Sixou, B., Peyrin, F.: Iterative choice of the optimal regularization parameter in TV image restoration. Inverse Probl. Imaging 9, 1171 (2015)MathSciNetCrossRef
10.
11.
Wang, Z., Bovik, A., Sheikh, H.R., Simoncelli, E.P.: Image quality assessment: from error visibility to structural similarity. IEEE Trans. Image Process. 13, 600–612 (2004)CrossRef
12.
Zhao, N., Wei, Q., Basarab, A., Dobigeon, N., Kouamé, D., Tourneret, J.: Fast single image super-resolution using a new analytical solution for \(\ell _{2}\)-\(\ell _{2}\) problems. IEEE Trans. Image Process. 25, 3683–3697 (2016)MathSciNetCrossRef
Metadata
Title
Residual Whiteness Principle for Automatic Parameter Selection in - Image Super-Resolution Problems
Authors
Monica Pragliola
Luca Calatroni
Alessandro Lanza
Fiorella Sgallari
Copyright Year
2021
Book
Scale Space and Variational Methods in Computer Vision

Print ISBN: 978-3-030-75548-5

Electronic ISBN: 978-3-030-75549-2

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-75549-2_38

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