Vahid Malekian1,2,3, Danny JJ Wang4, Gholam-Ali Hossein-Zadeh2,5, and Abbas Nasiraei Moghaddam1,2
1Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran, 2School of Cognitive Sciences, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran, 3Donders Institute for Brain, Cognition and Behaviour, Radboud University, Nijmegen, Netherlands, 4Neurology, UCLA, Los Angeles, CA, United States, 5School of Electrical and Computer Engineering, University of Tehran, Tehran, Iran
Synopsis
To minimize noise and artifacts in fMRI
studies, authors have mostly focused on magnitude-based filtering methods and have
neglected phase data due to its noisy nature. However, fMRI is a complex-valued
data with also valuable phase information. Here, we propose a novel spatial
weighted averaging method which uses the phase information along with magnitude
to create a reference signal and utilize it iteratively to updates weights. We evaluate the method on
experimental A-BOSS fMRI dataset and compared with conventional smoothing
methods. The results indicate that the approach can suppress noise effectively
and preserve the boundaries of active regions.
Purpose:
Functional magnetic
resonance imaging (fMRI) is a major non-invasive method to detect brain activities
with high spatial resolution. However, fMRI suffers from wide ranges of
systematic and physiological noise leading to low functional signal to noise
ratio [1]. To minimize artifacts, researchers have mostly focused on magnitude-based
filtering methods and have largely neglected phase data due to its noisy nature
[2]. However, fMRI is natively a complex-valued data with also useful phase
information [3, 4]. Here, we propose a novel spatial weighted averaging method
which uses the phase information along with magnitude to create a reference signal
and utilize it to update weights iteratively. We
evaluate the method on Averaged-BOSS (A-BOSS) fMRI data-set [5, 6] which has
valuable phase information due to the inherent significant changes of phase within
the transition band of Steady State Free Precession (SSFP) profile. The results indicate that the approach can
suppress noise effectively and preserve the boundaries of active regions.
Methodology:
Here, we propose a model-based anisotropic approach using
phase information in addition to magnitude data. First, initial weights are calculated based
on the Correlation Coefficient (CC) between the magnitude Time-Course (TC) of any
voxel and its adjacent voxels. After phase unwrapping and masking data with
phase quality map based on phase
derivative variance algorithm [7], Fast Fourier
Transform (FFT) is applied to complex TCs. Next, the initial weights and low-pass filtering are applied
to the complex data. To estimate the reference, the real part of the signal in
the time domain is chosen. In the following step, the similarity index is calculated
based on squared CC between the magnitude TCs and the reference signal in the order to update
weights. This procedure is repeated iteratively to reach convergence. The block
diagram is shown in Fig. 1. To evaluate the method, we performed an experiment
on a 3T Tim Trio Siemens scanner using TrueFISP. The scans were acquired at
high spatial resolution (1.2*1.2*4 mm3). The method was applied on a
healthy volunteer in a right hand finger tapping experiment in which 3 blocks
of rest and act were used (rest/act=15s/15s). Other imaging parameters were: TR=30ms and FA=4°.No pre-processing steps such as motion correction, registration or cluster thresholding were performed for final results.
Results:
This method is applied on an experimental data
acquired by A-BOSS imaging technique. The magnitude and phase activation maps
are shown respectively in Figs 2.a and 2b. Magnitude and phase data was processed
based on correlation analysis of each TC with stimulus pattern and a
p-value threshold of p=0.05 was chosen to detect active voxels. For the evaluation, we compared proposed method
with Gaussian smoothing and magnitude-based (typical) anisotropic
approach. Figs 3.a, 3.b and 3.c show the activity
maps of Gaussian smoothing (kernel size equal to double size of each voxel), typical
anisotropic smoothing, and proposed method (with 5 iterations) respectively. As depicted in activation
maps, false
positive (FP) voxels are eliminated successfully in our method compared to
others and the active regions related to motor regions continuously grow and reasonably
fit into the gray matter.
Discussion and Conclusion:
The main issue in spatial filters is to
eliminate the FP errors and preserve the boundaries of the active regions [8, 9]. Conventional
anisotropic averaging is used based on spatial correlation of active neighboring
voxels mostly in magnitude data. However, according to Fig 2.b, the phase
activity map, also contains valuable spatial information. Therefore, we have exploited phase information along with magnitude
data to create more accurate reference signal to improve the weights updating procedure.
As shown in Fig. 3.a, the correlation map without any smoothing suffers from FPs.
In Fig 3.b, Gaussian kernel has removed FPs but the active regions diffuse to
neighboring regions. Although the
typical anisotropic smoothing boundaries are preserved, this method suffers
from FPs and non-continuous activated regions. In the proposed method,
smoothing kernel minimizes the FPs, preserves the boundaries and also continuity of active regions. Furthermore, as shown in Fig 3.c, activation map fitting nicely into the gray matter at high spatial resolution. To evaluate the method numerically, highly
activated voxels surviving the threshold of 67% of maximum correlation
coefficient are selected in each map and the mean averages of them are shown in
Table 1. As depicted in this table, the mean CC of Region of Interest (ROI) in our
method is 81.31% which indicates the better performance compared to other
methods. The proposed filter is also applicable for resting-state fMRI
to improve the signal quality as well as
task fMRI due to its independency to the stimulus pattern.
Acknowledgements
No acknowledgement found.References
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