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math.NA2026
Efficient TV regularization of large-scale linear inverse problems via the SCD semismooth* Newton method with applications in tomography
Helmut Gfrerer, Simon Hubmer, Stefan Kindermann +3
In this paper, we consider the efficient numerical minimization of Tikhonov functionals resulting from total-variation (TV) regularization of linear inverse problems. Since the TV…
math.NA2025
Fast reconstruction approaches for photoacoustic tomography with smoothing Sobolev/Matérn priors
Jaakko Kultima, Ronny Ramlau, Teemu Sahlström +1
In photoacoustic tomography (PAT), the computation of the initial pressure distribution within an object from its time-dependent boundary measurements over time is considered. This…