Craig DeVincent1, Madhur Srivastava2, and Armando Mendoza1
1Radiology, UCSF, San Francisco, CA, United States, 2Chemistry nd Chemical Biology, Cornell University, Ithaca, NY, United States
Synopsis
We have developed a novel
wavelet-based signal processing algorithm capable of denoising signals
with extremely low signal-to-noise ratios. The idea is that if raw MRI signals
can be denoised in real-time prior to image generation, high quality images can
potentially be obtained at drastically shorter
scan-times, thereby improving
patient comfort and increasing
imaging throughput. While conventional signal processing methods are
often limited by inadequate noise removal or signal distortion, our method does
not suffer from such drawbacks, as it performs localized noise removal based on
capturing randomness. This represents an opportunity to increase MRI throughput within existing infrastructure.
Purpose:
To increase patient throughput by reducing MRI scan time.Method:
In MRI, image quality directly
trade-offs with the scan-time. Longer scan-time yields better image quality and
vice-versa. We provide a novel signal processing approach that inputs the poor
quality (noisy) images obtained at short scan-times and outputs a denoised
image, similar to what would have been obtained after long data acquisition
times. Our algorithm isolates noise from raw MRI data by distinguishing between
their distinct characteristics: noise is random while raw MRI data contains
patterns/features. There are two novel features of our approach: 1) ability to
identify and separate noise; and 2) its application in MRI. Compared
to conventional signal processing methods such as filtering methods, our new
wavelet-shrinkage-based denoising method can process low SNR signals without
the limitations of inadequate noise removal or signal distortion (cf. Fig. 1).
For applying 2D denoising in the
k-space, the following 2D approaches will be developed:
- Symmetric
2D Undecimated Discrete Wavelet Transform (2D-SUDWT):
Individual
raw MRI data are stacked to generate the 2D k-space. To identify noise and
signal coefficients, a 2D wavelet representation, 2D-SUDWT, is developed for
transforming the 2D k-space signal for enhanced resolution into the wavelet
domain. The 2D-SUDWT procedure currently lacks development for arbitrary signal
lengths, which is required for its MRI application in the k-space signals for
noise removal. This new 2D-SUDWT for k-space is incorporated the signal
structure and satisfy its properties for the transform.
- Development
of 2D Wavelets: Customized
2D symmetric wavelets is developed to maximize the separation between the
randomness of noise and features of signal in the wavelet domain. Both the
dimensions of the wavelet will be constructed from “coif3” wavelets. The
“coif3” wavelet is selected based in its superior ability to distinguish noise
and signal coefficients for such signals, as previously shown by Srivastava et al.1
- Noise Thresholding to Remove Noise from Signal: A noise thresholding
procedure is developed for each dimension that identifies and eliminates small
wavelet coefficients, while keeping large coefficients representing signal. The wavelet components containing
noise is identified using the sparsity parameter1–4 developed for the 2D wavelet
components. Following this, noise thresholding will be applied to separate
noise from signal coefficients, based on differences in their magnitude.
Magnitudes of noise coefficients will be smaller than the signal coefficients,
as noise is randomly dispersed, and signal is coherent in the wavelet domain.
The 2D noise threshold method is developed to remove noise in different wavelet
components (cf. Fig. 2).
Results:
We were able to reduce the MRI scan time by
50% without
compromising the image quality. The data was collected, processed, and analyzed
for different acquisition times reflecting 25%, 50%, 75% and 100% image quality
from the standard protocol. For quantitative measure, objective criteria such
as SNR, Contrast-to-Noise Ratio (CNR)
5 and Structural Similarity Index Measure (SSIM)
6 is used to compare the image similarity between the denoised
MRI images and the reference.
Conclusion:
As a software-based approach, our denoising algorithm can
potentially be integrated with existing instrumentation without any hardware
modifications. Since our technology is
focused on the novel application of denoising raw data before construction of
the MRI image, it exists in a unique
position within the image generation process and is complementary with other solutions
that are in development (such as artificial intelligence/deep learning) for
reducing scan-time.Acknowledgements
This work was supported by the NIGMS/NIH under Grant P41GM103521, the NSF grant under Grant 2044599, and the
Cornell IGNITE Grant. References
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Srivastava, M.; Anderson, C. L.;
Freed, J. H. A New Wavelet Denoising Method for Selecting Decomposition Levels
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Bekerman, W.; Srivastava, M.
Determining Decomposition Levels for Wavelet Denoising Using Sparsity Plot. IEEE
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