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arXiv · 2206.07128

Stability of Image-Reconstruction Algorithms

Pol del Aguila Pla·Sebastian Neumayer·Michael Unser
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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 ($\ell_2$ and $\ell_1$ regularization) and present novel stability results for $\ell_p$-regularized linear inverse problems for $p\in(1,\infty)$. Our results guarantee Lipschitz continuity for small $p$ and H\"{o}lder continuity for larger $p$. They generalize well to the $L_p(\Omega)$ function spaces.

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Pol del Aguila Pla, Sebastian Neumayer, Michael Unser. 2022-06-14. Stability of Image-Reconstruction Algorithms. https://arxiv.org/abs/2206.07128

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