Publication

Stability of Image-Reconstruction Algorithms

Michaël Unser, Sebastian Jonas Neumayer, Pol del Aguila Pla
2023
Journal Articles

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.

Official source

https://infoscience.epfl.ch/entities/publication/bcbcde51-449a-49f6-a9cf-3491c7aa91a0

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Stability of Image-Reconstruction Algorithms

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