Dynamic imaging strategies often involve updating certain areas of k-space (i.e., the low spatial frequencies) more frequently than others. However, important dynamic signal changes may occur anywhere in k-space. In this study, a dynamic k-space sampling analysis method was developed to determine the energy error associated with specific dynamic sampling strategies. The method uses the temporal power spectrum of k-space signals to determine the level and k-space locations of sampling errors. The proposed method was used to compare two dynamic sampling strategies (full sequential and keyhole) for a dynamic first-pass bolus simulation and a continuous heart imaging study. The error analysis agreed well with the errors in the reconstructed images. The technique can be used to determine the minimum sampling frequency for any location in the k-space, and may ultimately be used to optimize dynamic sampling strategies. Key words: dynamic imaging; temporal power spectrum; keyhole; k-space; energy error Many MRI applications, such as cardiac imaging (1-3), functional MRI (fMRI) (4,5), contrast-enhanced dynamic imaging (2,6,7), and time-resolved angiography (8,9) involve the collection of a time series of images of one particular slice or volume to monitor a dynamic process. To capture the details of the dynamic process, it is important to obtain both high temporal resolution and high spatial resolution. However, there is typically a trade-off between imaging speed and spatial resolution. Several sampling strategies have been proposed to improve both the temporal and spatial resolution. Such methods include keyhole imaging (10 -13), reduced-encoding imaging through generalized-series reconstruction (RIGR) (14 -16), time-resolved imaging of contrast kinetics (TRICKS) (9,17,18), and flexible view ordering technique for realtime 2DFT MR fluoroscopy (19). The goal behind all of these methods is to reduce the amount of data needed for a given spatial and temporal resolution. Most of these techniques involve increasing sampling of low spatial frequencies relative to other k-space views. However, dynamic changes can occur for any view in k-space. Lowspatial-frequency views provide crucial position and contrast information, while high-spatial-frequency views provide edge and detail information. Also, with these methods it is difficult to predict the accuracy of the image.This work presents a method for using the temporal frequency power spectrum of the k-space data to predict the minimum error of the dynamic imaging for the different sampling strategies. Furthermore, the temporal frequency power spectrum provides a possibility of predicting the locations in k-space where the dynamic changes will occur. Utilizing that information, the most effective sampling strategy can be determined. The analysis is applied to bolus flow simulations and cardiac imaging.
THEORY
Description of the Temporal Frequency Power SpectrumConsider an arbitrary dynamic continuous object o(r ៝, t), where r ៝ is the spatial position and t is the time. The MRI...