Help for Sum of Square Reconstruction in Parallel Imaging (MRI)

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EGEHAN DORUM
EGEHAN DORUM 2020-2-12
I am trying to have a reconstructed image by utilizing the parallel imaging technique. The algorithm I am interested in is PILS.
I am using the Sheep-Logan phantom available in the MATLAB.
I have created 4 different coil sensitivities, as Gaussian. Center of each coil sensitivity represents different points on the image in phase-encoding direction.
After I reconstruct corresponding images for each coil from decreased number of lines in the k-space data, I can not reconstructed the final/combined image including all 4 coil images. At this point, I need to know about the Sum of Squares reconstruction method. But I am suffering from this information.
Could you please explain me how to obtain the combined image with these 4 individual coil images using SoS reconstruction?

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