Recently, Peled and Yeshurun (1) investigated the possibility of calculating superresolution images from a set of spatially shifted, low-resolution images. Eight low-resolution images were acquired with an in-plane shift in phase encoding (PE) direction of 0, 1/4, 1/2, 3/4 pixel, and the same PE-shifts with an additional shift of 1/2 pixel in the read direction. Of course, images that are shifted by a fraction of one pixel dimension against each other look different and the subtraction of these images is not zero (or pure noise). The images are simply sampled at different positions in image space but the source data is identical. It is, therefore, not possible to increase resolution by acquiring images that are spatially shifted against each other, but it is obviously possible to increase the SNR. The images presented in Ref. 1 clearly show an increase in resolution. However, I think that this increase was probably achieved by the increased SNR and by correcting (amplifying) the T-decreased signal amplitude at the outer parts of k-space. I presume that the same results can be obtained by acquiring eight images with identical in-plane positions.
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Klaus Scheffler (2002) studied this question.
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