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Table 2 Optimal parameter regions for achieving different image quality bounds

From: Optimal compressed sensing reconstructions of fMRI using 2D deterministic and stochastic sampling geometries

Geometry class

Threshold

Inner bounding box

  

Min α

Max α

Min β

Max β

DPE 62.5%

45 dB

8.0808e-05

2.8687e-04

2.5758e-04

3.9697e-04

DPE 48.5%

40 dB

1.4949e-04

2.5253e-04

2.3434e-04

3.9697e-04

DPE 32.8%

35 dB

2.1111e-04

3.0404e-04

3.8990e-04

4.9293e-04

DPE 21.9%

30 dB

4.2424e-04

6.3030e-04

2.8081e-04

3.2727e-04

SLP 62.5%

45 dB

2.5253e-04

4.2424e-04

1.4141e-04

1.8788e-04

SLP 40.6%

40 dB

1.4949e-04

2.8687e-04

7.1717e-05

2.1111e-04

SLP 20.3%

35 dB

8.0808e-05

1.4949e-04

4.8485e-05

9.4949e-05

SLP 20.3%

30 dB

1.2121e-05

1.4949e-04

2.5253e-05

9.4949e-05

Geometry class

Threshold

Outer bounding box

  

Min α

Max α

Min β

Max β

DPE 62.5%

45 dB

-2.2222e-05

3.8990e-04

1.8788e-04

4.6667e-04

DPE 48.5%

40 dB

4.6465e-05

3.2121e-04

1.6465e-04

5.1313e-04

DPE 32.8%

35 dB

1.1818e-04

3.7374e-04

1.4949e-04

5.9596e-04

DPE 21.9%

30 dB

1.4141e-04

3.9697e-04

2.5253e-04

7.3333e-04

SLP 62.5%

45 dB

4.6465e-05

4.5859e-04

7.1717e-05

3.0404e-04

SLP 40.6%

40 dB

2.8687e-04

4.2424e-04

2.0202e-06

3.0404e-04

SLP 20.3%

35 dB

-2.2222e-05

2.5253e-04

-2.1212e-05

1.8788e-04

SLP 20.3%

30 dB

-5.6566e-05

2.5253e-04

-2.1212e-05

2.5758e-04

  1. This table provides bounding box parameters that are needed for achieving different performance levels.