Output of the inverse fourier transform on MR data

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wok
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Re: Output of the inverse fourier transform on MR data

Post by wok » Mon Feb 04, 2013 4:49 pm

If I understand correctly, one would need both magnitude and phase images in order to be able to reconstruct real and imaginary parts of the MR image, and this is the complex image on which one could apply the IFFT to work in the k-space.

This would imply there is no way to go back in the k-space if I only have a magnitude image.

Dave Higgins
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Re: Output of the inverse fourier transform on MR data

Post by Dave Higgins » Tue Feb 05, 2013 11:19 am

I agree with this. You would need the phase information too as well as the magnitude image.
However note that your program may still give you a "k-space" from a magnitude image if you do a iFFT, because it will assume that the imaginary parts are all zero, and all the info is in the real parts. It won't be the complex k-space as it was acquired.

Alhaidari
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Re: Output of the inverse fourier transform on MR data

Post by Alhaidari » Sat Jul 06, 2019 8:43 am

Thank you xargon for your question, and special thanks to dave for this forum.

This question is not easily,intuitively, to understand. Not only in MRI data, but in general. What do the output complex data of the Inverse Fourier Transform represents or means? or more precisely for MRI, What is the phase for each pixel in image domain means?

I hope my reply revive this post to get a satisfying answer.

Regards

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