During MR-guided focused ultrasound treatments in the brain, circulation of cool water around the head and ultrasound wave propagation create water motion during the signal readout, resulting in image artifacts. These artifacts vary across image dynamics, and are observable in magnitude and phase images and in temperature change maps measured during treatment. In this work, we apply a wavelet denoising algorithm to remove these artifacts from temperature maps during treatment. Results show that temperature errors can be corrected in patient data, in 0.2 s per map, suggesting that corrections could be performed during treatment.
The artifact removal procedure is applied to phase difference maps, which contain signal from either heating or artifact sources, and not from underlying anatomy. To do this, we adapted a soft-thresholding algorithm using log-Gabor filters 1. These filters are part of the family of Gabor filters, often used to detect edges in images, and were chosen for this application to efficiently sparsify the ripple image artifacts 2,3. Figure 1 shows a log-Gabor filter and its profile.
Artifact removal. Log-Gabor filters were applied in 5 wavelet scales and 6 filter orientations. A set of voxels most likely to contain artifacts was defined as those voxels greater than or equal to 0.05 in the normalized magnitude image difference between baseline and treatment dynamics. A soft threshold was then computed for the temperature maps as
$$$T=\frac{μ+k\sqrt{\frac{(4-π)μ^2}{π}}}{m^{s-1}}$$$,
where μ is the mean of the filtered temperature map within the artifact voxel set at the smallest wavelet scale in each orientation, k is the number of standard deviations of noise to reject (set to 2), m is the multiplication factor between scales (set to 5.25), and s is the wavelet scale, as described in Ref [1]. No manual tuning is required in the algorithm.
Patient treatment data. 2DFT GRE data were acquired during a clinical thermal ablation treatment in the brain at 3T (GE Signa, GE Healthcare, Milwaukee, WI, USA; Insightec ExAblate, Insightec Ltd., Haifa, Israel) with 8 receive coils, 28 ms TR, 12 ms TE, 280 x 280 mm2 FOV, 256 x 256 matrix, 3 mm slice thickness, 44 Hz readout BW per pixel, and either axial, sagittal, or coronal image slice orientation. The water bath was masked out of the images using a user defined region of interest (ROI) of the brain. Temperature maps were then reconstructed using baseline subtraction, using the second image dynamic for the baseline image. Mean temperature change was measured over a 3 x 3 square ROI centered on the temperature hot spot.
[1] Kovesi P. Phase preserving denoising of images. The Australian Pattern Recognition Society Conference: DICTA'99. 1999;4(3):212-217.
[2] Gabor D. Theory of communication. Part 1: The analysis of information. Journal of the Institution of Electrical Engineers - Part III: Radio and Communication Engineering. 1946:93(26):429-441.
[3] Field DJ. Relations between the statistics of natural images and the response properties of cortical cells. JOSA A. 1987;4(12):2379-94.