Stability of Image-Reconstruction Algorithms

AUTHORS: del Aguila Pla P., Neumayer S., Unser M.

IEEE Transactions on Computational Imaging, 9: 1 - 12, 11 January 2023

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ABSTRACT

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.

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BibTex

https://doi.org/10.1109/TCI.2023.3236161

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Module: SP