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Table 1 Additional reconstruction results on different MR images with a pseudo-Gaussian mask under different sample ratios

From: Compressed sensing MRI via fast linearized preconditioned alternating direction method of multipliers

Test image

Metric

Algorithm

Sampling ratio

0.1

0.2

0.3

0.4

0.5

Human brain1

SSIM

FADMM

0.3493

0.4497

0.7052

0.9707

0.9842

ALPADMM

0.1470

0.5126

0.9748

0.9836

0.9904

FLPADMM

0.3981

0.5241

0.9788

0.9869

0.9918

CPU time (s)

FADMM

2.9609

3.0238

3.0955

3.1921

3.6528

ALPADMM

4.2605

4.3840

4.4864

4.6043

4.7250

FLPADMM

4.0840

4.3312

4.4342

4.5427

4.5791

Human brain2

SSIM

FADMM

0.2786

0.3702

0.7391

0.9828

0.9914

ALPADMM

0.1631

0.4244

0.9877

0.9922

0.9955

FLPADMM

0.3325

0.4215

0.9911

0.9944

0.9961

CPU time (s)

FADMM

3.0527

3.2095

3.2354

3.2802

3.2332

ALPADMM

4.3250

4.4526

4.7770

4.5932

4.6251

FLPADMM

4.2333

4.4974

4.5447

4.4557

4.6193

Human spine

SSIM

FADMM

0.2077

0.3270

0.4755

0.5528

0.6200

ALPADMM

0.4396

0.7779

0.9425

0.9672

0.9807

FLPADMM

0.6235

0.7869

0.9731

0.9830

0.9889

CPU time (s)

FADMM

2.9718

3.0915

3.1162

3.1401

3.1521

ALPADMM

4.3979

4.4857

4.6409

4.5899

4.6300

FLPADMM

4.3400

4.4285

4.4914

4.5481

4.6091

  1. The CPU time and SSIM comparison among FADMM, ALPADMM, and the proposed FLPADMM