Two dimensional prolate spheroidal wave functions for MRI |
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Authors: | Yang Qing X Lindquist Martin A Shepp Lawrence Zhang Cun-Hui Wang Jianli Smith Michael B |
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Institution: | Department of Radiology (Center for NMR Research), The Pennsylvania State University, College of Medicine, The Milton S Hershey Medical Center, 500 University Dr, Hershey, PA 17033, USA. qyang@psu.edu |
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Abstract: | The tradeoff between spatial and temporal resolution is often used to increase data acquisition speed for dynamic MR imaging. Reduction of the k-space sampling area, however, leads to stronger partial volume and truncation effects. A two dimensional prolate spheroidal wave function (2D-PSWF) method is developed to address these problems. Utilizing prior knowledge of a given region of interest (ROI) and the spatial resolution requirement as constraints, this method tailors the k-space sampling area with a matching 2D-PSWF filter so that optimal signal concentration and minimal truncation artifacts are achieved. The k-space sampling area is reduced because the shape and size of the sampling area match the resolution posed by the non-rectangular shape of a convex ROI. The 2D-PSWF method offers an efficient way for spatial and temporal tradeoff with minimal penalty due to truncation, and thus, it promises a wide range of applications in MRI research. |
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Keywords: | Magnetic resonance imaging Signal processing k-Space sampling Prolate spheroidal wave function Rapid data acquisition |
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