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Filtering artifact from fMRI data using the stockwell transform

机译:使用Stockwell变换从fMRI数据中过滤伪像

摘要

The present invention relates to a method for filtering time-varying MR signal data prior to image reconstruction. A one-dimensional FT is applied to the time-varying MR signal data along each frequency-encode line of k space. The phase p of each complex pair (R,I) of the FT transformed data is calculated to create a phase profile for each frequency-encode line. This process is repeated for all time points of the time-varying MR signal data. The time course of each point within the phase profile is then transformed into Stockwell domain producing ST spectra. Frequency component magnitudes indicative of an artifact are determined and replaced with a predetermined frequency component magnitude. Each of the ST spectra is then collapsed into a one-dimensional function. New real and imaginary values (R′,I′) of the complex Fourier data are calculated based on the collapsed ST spectra which are transformed using one-dimensional inverse Fourier transformation for producing filtered time-varying MR signal data. The method for filtering time-varying MR signal data is highly advantageous by easily identifying high-frequency artifacts within the ST spectrum and filtering only frequency components near the artifacts. Therefore, high-frequency artifacts are substantially removed while the frequency content of the remaining signal is preserved, enabling for example detection of subtle frequency changes occurring over time.
机译:本发明涉及在图像重建之前对时变MR信号数据进行滤波的方法。将一维FT沿k空间的每个频率编码线应用于时变MR信号数据。计算FT变换数据的每个复数对(R,I)的相位p,以为每个频率编码线创建相位分布。对于随时间变化的MR信号数据的所有时间点重复该过程。然后,将相位曲线中每个点的时间过程转换为产生ST光谱的Stockwell域。确定指示伪像的频率分量幅度,并将其替换为预定的频率分量幅度。然后将每个ST光谱分解为一维函数。基于折叠后的ST谱,计算复傅立叶数据的新的实部和虚部值(R',I'),该折叠后的ST谱使用一维傅立叶逆变换进行转换,以生成滤波后的时变MR信号数据。通过容易地识别ST频谱内的高频伪像并且仅对伪像附近的频率分量进行滤波,用于滤波时变MR信号数据的方法具有极大的优势。因此,在保留剩余信号的频率内容的同时,基本上消除了高频伪像,例如使得能够检测随时间发生的细微频率变化。

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