Parallel magnetic resonance imaging as approximation in a reproducing kernel Hilbert space

DOI10.1088/0266-5611/31/4/045008zbMath1317.65129arXiv1310.7489OpenAlexW2145329912WikidataQ35600662 ScholiaQ35600662MaRDI QIDQ5260926

Michael Lustig, Vivek Athalye, Martin Uecker

Publication date: 30 June 2015

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.7489

zbMATH Keywords

numerical examplesinverse problemsmagnetic resonance imagingimage reconstructionreproducing kernel Hilbert spaceparallel imagingnon-Cartesian sampling

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Numerical solution to inverse problems in abstract spaces (65J22)

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