title: Matrix completion-based reconstruction for undersampled magnetic resonance fingerprinting data.
abstract: An iterative reconstruction method for undersampled magnetic resonance fingerprinting data is presented. The method performs the reconstruction entirely in k-space and is related to low rank matrix completion methods. A low dimensional data subspace is estimated from a small number of k-space locations fully sampled in the temporal direction and used to reconstruct the missing k-space samples before MRF dictionary matching. Performing the iterations in k-space eliminates the need for applying a forward and an inverse Fourier transform in each iteration required in previously proposed iterative reconstruction methods for undersampled MRF data. A projection onto the low dimensional data subspace is performed as a matrix multiplication instead of a singular value thresholding typically used in low rank matrix completion, further reducing the computational complexity of the reconstruction. The method is theoretically described and validated in phantom and in-vivo experiments. The quality of the parameter maps can be significantly improved compared to direct matching on undersampled data.
authors.affiliation: Philips Research Hamburg, Roentgenstrasse 24, Hamburg 22335, Germany. Electronic address: mariya.doneva@philips.com.
authors.forename: Mariya
authors.initials: M
authors.lastname: Doneva
authors.affiliation: Philips Research Hamburg, Roentgenstrasse 24, Hamburg 22335, Germany.
authors.forename: Thomas
authors.initials: T
authors.lastname: Amthor
authors.affiliation: Philips Research Hamburg, Roentgenstrasse 24, Hamburg 22335, Germany.
authors.forename: Peter
authors.initials: P
authors.lastname: Koken
authors.affiliation: Philips Research Hamburg, Roentgenstrasse 24, Hamburg 22335, Germany.
authors.forename: Karsten
authors.initials: K
authors.lastname: Sommer
authors.affiliation: Philips Research Hamburg, Roentgenstrasse 24, Hamburg 22335, Germany.
authors.forename: Peter
authors.initials: P
authors.lastname: Börnert
mesh_terms: D000465:Algorithms; D016477:Artifacts; D001921:Brain / Q000000981:diagnostic imaging*; D002138:Calibration; D064368:Healthy Volunteers; D006801:Humans; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D008279:Magnetic Resonance Imaging / Q000379:methods*; D015233:Models, Statistical; D019047:Phantoms, Imaging; D015203:Reproducibility of Results; D012984:Software
keywords: MR Fingerprinting; Matrix completion