Stability of image reconstruction algorithms

06/14/2022

∙

by   Pol del Aguila Pla, et al.

∙

0

∙

share

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 (ℓ_2 and ℓ_1 regularization), and present new stability results for ℓ_p regularized linear inverse problems for p∈(1,∞). Our results generalize well to the respective L_p(Ω) function spaces.