Inverse problems, Banach lattices and general fidelity functions
Our paper with Leon Bungert, Martin Burger and Carola Schönlieb on
Variational regularisation for inverse problems with imperfect forward
operators and general noise models has appeared in Inverse Problems. We analyse inverse problems
where the operator contains errors that can be described by an interval in a
Banach lattice (e.g., kernel of an integral operator with pointwise errors)
and the data are corrupted by noise that can be described using some data
fidelity function. Our results apply to, e.g., Gaussian, salt-and-pepper,
Poisson and mixed noise.
The paper is in open acces and can be found here:
DOI:10.1088/1361-6420/abc531