Title
A generalization of the two-dimensional prolate spheroidal wave function method for nonrectilinear MRI data acquisition methods
Abstract
The two-dimensional (2-D) prolate spheroidal wave function (2-D PSWF) method was previously introduced as an efficient method for trading off between spatial and temporal resolution in magnetic resonance imaging (MRI), with minimal penalty due to truncation and partial volume effects. In the 2-D PSWF method, the k-space sampling area and a matching 2-D PSWF filter, with optimal signal concentration and minimal truncation artifacts, are determined by the shape and size of a given convex region of interest (ROI). The spatial information in the reduced k-space data is used to calculate the total image intensity over a nonsquare ROI instead of producing a low-resolution image. This method can be used for tracking dynamic signals from non-square ROIs using a reduced k-space sampling area, while achieving minimal signal leakage. However, the previous theory is limited to the case of rectilinear sampling. In order to make the 2-D PSWF method more suitable for dynamic studies, this paper presents a generalized version of the 2-D PSWF theory that can be applied to nonrectilinear data acquisition methods. The method is applied to an fMRI study using a spiral trajectory, which illustrates the methods efficiency at tracking hemodynamic signals with high temporal resolution
Year
DOI
Venue
2006
10.1109/TIP.2006.877314
IEEE Transactions on Image Processing
Keywords
Field
DocType
region of interest,magnetic resonance image,spatial resolution,image resolution,partial volume effect,data acquisition,magnetic resonance imaging,temporal resolution,low resolution,spatial information,signal processing
Truncation,Computer vision,Prolate spheroidal wave function,Signal processing,Pattern recognition,Image quality,Artificial intelligence,Sampling (statistics),Region of interest,Temporal resolution,Image resolution,Mathematics
Journal
Volume
Issue
ISSN
15
9
1057-7149
Citations 
PageRank 
References 
2
0.84
2
Authors
5
Name
Order
Citations
PageRank
Martin A. Lindquist120.84
Cun-Hui Zhang217418.38
Gary Glover320.84
L. Shepp4102.14
Qing X. Yang520.84