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Medientyp: E-Artikel Titel: Reconstruction from free‐breathing cardiac MRI data using reproducing kernel Hilbert spaces Beteiligte: Cîndea, Nicolae; Odille, Freddy; Bosser, Gilles; Felblinger, Jacques; Vuissoz, Pierre‐André Erschienen: Wiley, 2010 Erschienen in: Magnetic Resonance in Medicine Sprache: Englisch DOI: 10.1002/mrm.22170 ISSN: 0740-3194; 1522-2594 Schlagwörter: Radiology, Nuclear Medicine and imaging Entstehung: Anmerkungen: Beschreibung: <jats:title>Abstract</jats:title><jats:p>This paper describes a rigorous framework for reconstructing MR images of the heart, acquired continuously over the cardiac and respiratory cycle. The framework generalizes existing techniques, commonly referred to as retrospective gating, and is based on the properties of reproducing kernel Hilbert spaces. The reconstruction problem is formulated as a moment problem in a multidimensional reproducing kernel Hilbert spaces (a two‐dimensional space for cardiac and respiratory resolved imaging). Several reproducing kernel Hilbert spaces were tested and compared, including those corresponding to commonly used interpolation techniques (sinc‐based and splines kernels) and a more specific kernel allowed by the framework (based on a first‐order Sobolev RKHS). The Sobolev reproducing kernel Hilbert spaces was shown to allow improved reconstructions in both simulated and real data from healthy volunteers, acquired in free breathing. Magn Reson Med, 2010. © 2009 Wiley‐Liss, Inc.</jats:p>