A pair of coils in a SENSE acquisition are oriented as indicated in the diagram to the right. Consider a simple case where the desired image matrix is 4 x 4. The coil sensitivities for coil A and coil B as a function of distance from the face of the coil is given below: Coil A Sensitivity Coil B Sensitivity 000 Coil B Coil A Coil A 0.7 0.5 0.3 0.1 0.2 0.4 0.6 0.8 1 0.7 0.5 0.3 0.4 0.6 0.8 1 1 0.7 0.5 0.3 0.4 0.6 0.8 1 0.7 0.5 0.3 0.1 0.2 0.4 0.6 0.8 Coil B The resulting images collected from the two coils are: Coil A 0.7 1.7 4.1 6.0 10.8 5.5 0.7 1.7 Coil A 0 Coil B 2.0 1.0 5.0 8.4 10 10 5.2 2.0 1.0 Coil B Determine the pixel values for the following points in the (unaliased) 4 x 4 image (shaded pixels):

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A pair of coils in a SENSE acquisition are oriented as indicated in the
diagram to the right. Consider a simple case where the desired image
matrix is 4 x 4. The coil sensitivities for coil A and coil B as a function of
distance from the face of the coil is given below:
Coil A Sensitivity
Coil B Sensitivity
000
Coil B
Coil A
Coil A
0.7
0.5
0.3 0.1
0.2 0.4 0.6
0.8
1
0.7
0.5 0.3
0.4
0.6
0.8
1
1 0.7
0.5 0.3
0.4
0.6 0.8
1
0.7 0.5
0.3
0.1
0.2
0.4
0.6
0.8
Coil B
The resulting images collected from the two coils are:
Coil A
0.7
1.7
4.1 6.0
10.8 5.5
0.7 1.7
Coil A
0
Coil B
2.0 1.0
5.0 8.4
10
10
5.2
2.0
1.0
Coil B
Determine the pixel values for the following points in the (unaliased) 4 x 4 image (shaded pixels):
Transcribed Image Text:A pair of coils in a SENSE acquisition are oriented as indicated in the diagram to the right. Consider a simple case where the desired image matrix is 4 x 4. The coil sensitivities for coil A and coil B as a function of distance from the face of the coil is given below: Coil A Sensitivity Coil B Sensitivity 000 Coil B Coil A Coil A 0.7 0.5 0.3 0.1 0.2 0.4 0.6 0.8 1 0.7 0.5 0.3 0.4 0.6 0.8 1 1 0.7 0.5 0.3 0.4 0.6 0.8 1 0.7 0.5 0.3 0.1 0.2 0.4 0.6 0.8 Coil B The resulting images collected from the two coils are: Coil A 0.7 1.7 4.1 6.0 10.8 5.5 0.7 1.7 Coil A 0 Coil B 2.0 1.0 5.0 8.4 10 10 5.2 2.0 1.0 Coil B Determine the pixel values for the following points in the (unaliased) 4 x 4 image (shaded pixels):
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