Stability of Image-Reconstruction Algorithms
P. del Aguila Pla, S. Neumayer, M. Unser
IEEE Transactions on Computational Imaging, vol. 9, pp. 1–12, 2023.
Robustness and stability of image-reconstruction algorithms have recently come under scrutiny. Their importance to medical imaging cannot be overstated. We review the known results for the topical variational regularization strategies ( ℓ2 and ℓ1 regularization) and present novel stability results for ℓp-regularized linear inverse problems for p ∈ (1, ∞). Our results guarantee Lipschitz continuity for small p and Hölder continuity for larger p. They generalize well to the Lp(Ω) function spaces.
@ARTICLE(http://bigwww.epfl.ch/publications/delaguilapla2301.html,
AUTHOR="del Aguila Pla, P. and Neumayer, S. and Unser, M.",
TITLE="Stability of Image-Reconstruction Algorithms",
JOURNAL="{IEEE} Transactions on Computational Imaging",
YEAR="2023",
volume="9",
number="",
pages="1--12",
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