13 citations · 56 across the 16 of their papers we have counts for
18 papers
Regularization of Nonlinear Inverse Problems -- From Functional Analysis to Data-Driven Approaches
Clemens Kirisits, Bochra Mejri, Sergei Pereverzev +2
The focus of this book is on the analysis of regularization methods for solving \emph{nonlinear inverse problems}. Specifically, we place a strong emphasis on techniques that incor…
Using the Transport of Intensity and the Transport of Phase Equation for Phase Retrieval
Clemens Kirisits, Kemal Raik, Otmar Scherzer +2
We investigate the transport of intensity equation (TIE) and the transport of phase equation (TPE) for solving the phase retrieval problem. Both the TIE and the TPE are derived fro…
Generalized Fourier Diffraction Theorem and Filtered Backpropagation for Tomographic Reconstruction
Clemens Kirisits, Michael Quellmalz, Eric Setterqvist
This paper concerns diffraction-tomographic reconstruction of an object characterized by its scattering potential. We establish a rigorous generalization of the Fourier diffraction…
Diffraction Tomography for a Generalized Incident Field
Clemens Kirisits, Noemi Naujoks, Otmar Scherzer
Diffraction tomography is an inverse scattering technique used to reconstruct the spatial distribution of the material properties of a weakly scattering object. The object is expos…
Uncertainty Quantification for Scale-Space Blob Detection
Fabian Parzer, Clemens Kirisits, Otmar Scherzer
We consider the problem of blob detection for uncertain images, such as images that have to be inferred from noisy measurements. Extending recent work motivated by astronomical app…
Diffraction Tomography, Fourier Reconstruction, and Full Waveform Inversion
Florian Faucher, Clemens Kirisits, Michael Quellmalz +2
In this paper, we study the mathematical imaging problem of diffraction tomography (DT), which is an inverse scattering technique used to find material properties of an object by i…