3 papers
math.NA2026
Raster Scan Diffraction Tomography
Peter Elbau, Noemi Naujoks, Otmar Scherzer
Diffraction tomography is a widely used inverse scattering technique for quantitative imaging of weakly scattering media. In its conventional formulation, diffraction tomography as…
math.NA2026
Invertibility of the Fourier Diffraction Relation in Raster Scan Diffraction Tomography
Peter Elbau, Noemi Naujoks
Diffraction tomography aims to recover an object's scattering potential from measured wave fields. In the classical setting, the object is illuminated by plane waves from many dire…
math.FA2025
Uniqueness of Angular Velocity Reconstruction in Parallel-Beam and Diffraction Tomography
Peter Elbau, Denise Schmutz
This work addresses the problem of uniquely determining a rotational motion from continuous time-dependent measurements within the frameworks of parallel-beam and diffraction tomog…