The investigation of regularization schemes with sparsity promoting penalty terms has been
one of the dominant topics in the field of inverse problems over the last years, and Tikhonov …

Regularization methods are a key tool in the solution of inverse problems. They are used to
introduce prior knowledge and allow a robust approximation of ill-posed (pseudo-) inverses …

Inverse problems with Poisson data arise in many photonic imaging modalities in medicine,
engineering and astronomy. The design of regularization methods and estimators for such …

Inverse problems arise in practical applications whenever one needs to deduce unknowns
from observables. This monograph is a valuable contribution to the highly topical field of …

In fluorescence microscopy, the distribution of the emitting molecule number in space is
usually obtained by dividing the measured fluorescence by that of a single emitter. However …

In recent years the Landweber-Kaczmarz method has been proposed for solving nonlinear
ill-posed inverse problems in Banach spaces using general convex penalty functions. The …

In this paper, we study a Tikhonov-type method for ill-posed nonlinear operator equations
g†= F (u†), where g† is an integrable, non-negative function. We assume that data are …

We study the problem of deconvolution for light-sheet microscopy, where the data is
corrupted by spatially varying blur and a combination of Poisson and Gaussian noise. The …

Conventional light microscopes have been used for centuries for the study of small length
scales down to approximately 250 nm. Images from such a microscope are typically blurred …

This paper is concerned with the classical inverse scattering problem to recover the
refractive index of a medium given near or far field measurements of scattered time …