Mathematical Imaging and Data Analysis
The research group Mathematical Imaging and Data Analysis, led by Dr. Frank-Dieter Filbir, focuses on various aspects of the development of new methods for solving different image reconstruction problems. Their work includes contributions to phase retrieval from ptychographic data provided by synchrotron or electron microscopy measurements. The work is particularly focused on the improvement of the reconstruction of images for inverse multislice and polychromatic ptychography.
Additionally, the group investigates theoretical aspects of harmonic analysis for data analysis, such as sampling inequalities on manifolds and the related quadrature formulas for diffusion polynomials. Their research extends to sparse approximation for signals defined on different
These mathematical frameworks have various applications in imaging, signal processing, and numerical analysis.
Beyond mathematical theory, the group also explores mathematical aspects of the physical models describing the signal formation in optoacoustic tomography. Through these interdisciplinary efforts, the group advances both fundamental mathematics and its applications to imaging sciences.
The research group Mathematical Imaging and Data Analysis, led by Dr. Frank-Dieter Filbir, focuses on various aspects of the development of new methods for solving different image reconstruction problems. Their work includes contributions to phase retrieval from ptychographic data provided by synchrotron or electron microscopy measurements. The work is particularly focused on the improvement of the reconstruction of images for inverse multislice and polychromatic ptychography.
Additionally, the group investigates theoretical aspects of harmonic analysis for data analysis, such as sampling inequalities on manifolds and the related quadrature formulas for diffusion polynomials. Their research extends to sparse approximation for signals defined on different
These mathematical frameworks have various applications in imaging, signal processing, and numerical analysis.
Beyond mathematical theory, the group also explores mathematical aspects of the physical models describing the signal formation in optoacoustic tomography. Through these interdisciplinary efforts, the group advances both fundamental mathematics and its applications to imaging sciences.