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Stability of image reconstruction algorithms. (arXiv:2206.07128v1 [math.OC])
cs.LG updates on arXiv.org arxiv.org
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 new stability
results for $\ell_p$ regularized linear inverse problems for $p\in(1,\infty)$.
Our results generalize well to the respective $L_p(\Omega)$ function spaces.