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Temporal stability of adaptive 3D radial MRI using multidimensional golden means
Author(s) -
Chan Rachel W.,
Ramsay Elizabeth A.,
Cunningham Charles H.,
Plewes Donald B.
Publication year - 2009
Publication title -
magnetic resonance in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.696
H-Index - 225
eISSN - 1522-2594
pISSN - 0740-3194
DOI - 10.1002/mrm.21837
Subject(s) - undersampling , symmetry in biology , sampling (signal processing) , computer science , radial line , temporal resolution , image resolution , stability (learning theory) , projection (relational algebra) , artificial intelligence , algorithm , mathematics , computer vision , physics , optics , mathematical analysis , filter (signal processing) , machine learning
Breast tumor diagnosis requires both high spatial resolution to obtain information about tumor morphology and high temporal resolution to probe the kinetics of contrast uptake. Adaptive sampling of k‐space allows images in dynamic contrast‐enhanced (DCE)‐magnetic resonance imaging (MRI) to be reconstructed at various spatial or temporal resolutions from the same dataset. However, conventional radial approaches have limited flexibility that restricts image reconstruction to predetermined resolutions. Golden‐angle radial k‐space sampling achieves flexibility in‐plane with samples that are incremented by the golden angle, which fills two‐dimensional (2D) k‐space with radial spokes that have a relatively uniform angular distribution for any time interval. We extend this method to three‐dimensional (3D) radial sampling, or 3D‐Projection Reconstruction (3D‐PR) using multidimensional golden means, which are derived from modified Fibonacci sequences by an eigenvalue approach. We quantitatively compare this technique to conventional 3D radial methods in terms of the fluctuation in error caused by undersampling artifacts, and show that the golden 3D‐PR method can substantially improve the temporal stability of quantitative measurements made from dynamic images when compared to conventional 3D radial approaches of k‐space sampling. Magn Reson Med 61:354–363, 2009. © 2009 Wiley‐Liss, Inc.