3 papers
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…
math.AP2022
Recovery of singularities from fixed angle scattering data for biharmonic operator in dimensions two and three
Jaakko Kultima
The inverse fixed angle problem for operator is considered in dimensions . We prove that the difference between an inverse fixed angle Born approximatio…