Mathematisches Kolloquium
Prof. Dr. rer. nat. habil. Gerlind Plonka-Hoch Institute for Numerical and Applied Mathematics, University of Göttingen spricht über das Thema: " The Multichannel Blind Deconvolution Problem in Parallel MRI"
Abstract: One of the biggest innovations in magnetic resonance imaging (MRI) within the last years was the concept of parallel MRI. In this setting, the use of multiple receiver coils allows the reconstruction of high-resolution images from undersampled Fourier data such that the acquisition time
can be substantially reduced. Mathematically, the parallel MRI reconstruction problem can be seen as a multi-channel blind deconvolution problem, where the coil sensitivity functions and the magnetization image have to be recovered simultaneously from the acquired data.
In this talk, we will give a short survey on existing reconstruction methods in parallel MRI so far. Further, we propose a new algorithm, called MOCCA, to recover the coil sensitvities and the magnetization image from incomplete Fourier measurements. Our approach is based on suitable parameter models for both, the magnetization image and the sensitivities. The derived MOCCA algorithm provides perfect reconstruction results if the model assumptions are satisfied. Moreover, it has a low computational complexity and fits real MRI data sufficiently well such that it is applicable in practice.
The results presented in this talk have been obtained jointly with Yannick Riebe and Benjamin Kocurov.
Informationen unter : https://www.mathematik.tu-clausthal.de/