Compressed Sensing for Chemical Shift-Based Water-Fat

Separation

Doneva M., Bornert P., Eggers H., Mertins A., Pauly J., and Lustig M., Magnetic Resonance in Medicine (64) 1749-1759 (2010)

Background• Fat often appears bright in MR images: may

obscure pathology;• Reliable fat suppression methods is needed.• Common fat suppresion techniques:

• Spectral-spatial water excitation• Spectral selective fat saturation• Short TI inversion recovery• Water-fat separation

• Based on chemical shift induced phase difference between fat/water

Water-Fat Signal Model• Single peak fat model

• Multi peak fat model

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In-phaseRead out Op-phase

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Multi-Point Acquisition

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Op-phase 2

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Water-Fat Separation Methods

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• Image at echo time tl

• Multi peak fat model

Water Fat Separation• Require the acquisition of two or more images at

different TE• Long scan time needed• Compressed sensing can be combined with

water-fat separation to improve sampling efficiency

Compressed Sensing• Key elements of a successful compressed

sensing reconstruction:• Signal sparsity• Incoherent sampling• Nonlinear, sparsity promoting

reconstruction

Signal Sparsity

Incoherent Sampling

Nonlinear Reconstruction• Iterative reconstruction needed• Optimization based on minimizing l1 norm

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Image Acquisition

Imaging Parameters• 1.5 T scanner (Phillips Healthcare)• Retrospective under-sampling (Poisson-disk)• Knee images

• Turbo spin echo, TR=500 ms, TE = 21 ms• FOV 160 mm x 160 mm• Matrix size 256 x 256, slice thickness 3mm,

voxel size 0.6 mmx0.6 mmx3 mm• Echo time -0.4, 1.1, 2.6 ms (relative to spin

echo)

Imaging Parameters• 1.5 T scanner (Phillips Healthcare)• Abdominal images

• 3D gradient echo, TR=6.9 ms, TE1 = 1.66 ms, TE = 1.66 ms, =15

• FOV 400 mm x 320 mm x 216 mm• Matrix size 240 x 192 x 54, bandwidth 833

Hz/pix

Fat Signal Model• Single Peak Fat Model

• Chemical shift of fat: -220 Hz

• Multi Peak Fat Model• Three peak fat model: -30 Hz, -165 Hz,

-210 Hz• Relative amplitude (0.15, 0.1, 0.75)

CS-WF Reconstruction• Initial field map estimation

• Initialization:• Low-resolution: center k-space• High-resolution: perform CS

reconstruction for each echo • Compute possible field map values for

each pixel and estimate initial field map using region growing, and

• Estimate initial water and fat images

CS-WF Reconstruction• Similar to Gauss-Newton algorithm• Iteratively and simultaneously update the

water and fat images and the field map, using the update as:

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CS-WF Reconstruction• Given the final estimate xn, compute a

projection on k-space yn=g(xn), set the measured data at the sampling location yn=y|acq and perform one last iteration.

2D Knee Images

Single peak fat model

2D Knee Images

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2D Knee Images

Multi peak fat model (three peaks, three echoes)

3D Abdominal Images

3D Abdominal Images

CS-WF Reconstruction

• Low-resolution initialization: 50 Gauss-Newton iterations

• High-resolution initialization: 5 iteration• One Gauss-Newton step for 3D data: 9

min (This is slow!)

Discussion• Nice and uniform water fat separation

• Good field map estimation• Clean image without noticable

artifact• Slow reconstruction• Moderate reduction factor• High reduction factor results in loss of

contrast

Study Based on This Paper• Silver HJ, et al. Comparison of gross body fat-water

magnetic resonance imaging at 3 Tesla to dual-energy X-ray absorptiometry in obese women. Obesity (Silver Spring). 2013 Apr;21(4):765-74

• Pang Y, Zhang X. Interpolated compressed sensing for 2D multiple slice fast MR imaging. PLoS One. 2013; 8(2)

• Pang Y, et al. Hepatic fat assessment using advanced Magnetic Resonance Imaging.Quant Imaging Med Surg. 2012 Sep;2(3):213-8

• Sharma SD, et al. Chemical shift encoded water-fat separation using parallel imaging and compressed sensing. Magn Reson Med. 2013 Feb;69(2):456-66.

Study Based on This Paper• Li W, et al. Fast cardiac T1 mapping in mice using a

model-based compressed sensing method. Magn Reson Med. 2012 Oct;68(4):1127-34.

• Sharma SD,et al. Accelerated water-fat imaging using restricted subspace field map estimation and compressed sensing. Magn Reson Med. 2012 Mar;67(3):650-9

Thank you!