Abas Abdoli1, Radka Stoyanova2, and Andrew A. Maudsley1
1Radiology, University of Miami, Miami, FL, United States, 2Radiation Oncology, University of Miami, Miami, FL, United States
Synopsis
In this study
we evaluate a new principal components analysis (PCA) based denoising method
for volumetric MRSI data that employs a statistical test for the selection of
the significant noise-free principle components (PCs).Purpose
The technical
challenges in acquiring MR imaging data from low concentration metabolites
compromise the spatial resolution and signal to noise ratio (SNR) of the
measurement, which can decrease the value for clinical applications. While
increased SNR can be achieved by signal averaging, this is frequently
impractical for clinical studies due to the increased scan times and
susceptibility to movement artifacts. An alternative approach to improving SNR is
to reduce the noise in the data as part of the reconstruction procedure. Several
different methods have been proposed for MRSI denoising (1-4).
Singular Value Decomposition (SVD) and PCA provide a representation of complex
data in a lower dimensional space that is defined by the significant PCs (5,6). The total number of PCs is usually much larger
than the number of independent variations in the dataset. Therefore, by recalculating
the data using only the significant PCs while ignoring the higher noise-related
will effectively reduce the noise in the data. However, the selection of the
optimal rank for approximation of the noise-free signal is one of the main
challenges of the PCA denoising methods. In this study a spatial-spectral
low-rank method was developed for denoising of volumetric 1H MRSI data of the
brain that was combined with a new approach for selection of the significant
signal-related PCs obtained from PCA.
Materials and Methods
The proposed statistical
selection of PC (SSPC)
method determines the significant signal related
PCs in the spatial-spectral MRSI data. The technique is based on examining each
PC and comparing the variance in regions of frequencies with known metabolites vs
the variance in the ‘noise’ regions. For this purpose, Levene’s test (7) was performed to
assess the equality of variances between these two regions. Levene’s test is a
popular variance equality test that can handle the non-normality of data. After
performing Levene’s test, a judicious threshold was applied on the significant
difference (p-value) calculated by the test to retain the significant PCs and
construct the noiseless data. Therefore, SSPC may select PCs which are not
consecutive, i.e. PCi+1 may be included of the data reconstruction
while PCi is excluded.
To evaluate
the performance of the SSPC method, a simulated dataset was generated to
resemble the volumes and metabolites in a hypothetical brain in vivo MRSI of a
patient with brain tumor. Spectra were simulated to represent a lipid ring, a
metabolite region, two regions having only a water signal, and a small region
representing a brain lesion/tumor. Gaussian noise with relative standard
deviation of 0.5 was added in the time-domain.
Volumetric MRSI
data of one normal subject and one brain tumor subject were obtained at 3T with
8-channel detection. Sequence details have been provided elsewhere (8,9). All data were processed using the MIDAS software (10).
Processing for data used for the denoising tests did not have any spectral
smoothing applied. For comparison to standard processing methods, data were
also processed using Gaussian apodization of the time data, for a relatively
small 2 Hz line-broadening and a value more typically used (for 3 T) with 5 Hz
line-broadening.
Results
Fig. 1a.iii
and Fig. 1b.iii show that the SSPC denoising reconstructed the signals without
loss of information and with improved SNR. Note that the reconstructed “tumor”
spectrum, Fig. 1b.iii, is noisier than that from the “normal” region. The tumor
spectra are associated with a relatively small volume and thus they contribute
a small fraction of the total variance. As the PCs are ordered by the amount of
variation they explain, the first few PCs are dominated by the signal from the “normal”
volumes.
It can be
observed that for the same number of PCs the SSPC denoising (Fig. 2e) performed
better than the conventional PCA denoising with no PC filtration (Fig. 2d) in
terms of CRB and SNRArea (using NAA). The improvements in metabolite
peak area images were more prominent for the lower concentration metabolite,
GlxArea, compared to the higher concentration metabolite, CRArea.
Gaussian apodization resulted in increased LW. A visual evaluation of spectra
in Fig. 3a.iii and Fig. 3c.iv indicates the SSPC performed better than the
conventional PCA denoising.
Discussion
The proposed SSPC
denoising significantly improved the SNR and fitting accuracy without significantly
compromising metabolite information. Using both simulated and in vivo MRSI data
it was shown that the SSPC denoising resulted in higher SNRArea and
lower CRBs values comparted to the conventional PCA denoising with the same
number of PCs, and that the relative performance varied spatially in a manner
that depended on the number of spectra with similar spectral patterns.
Acknowledgements
This work was
supported by NIH grants R01EB016064 and R01CA172210. The authors thank Dr. M.
Goryawala for assistance with data collection.References
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