Hello everyone,(adsbygoogle = window.adsbygoogle || []).push({});

I have a small question about Jacobian and volume changes. So, I have a signal model from an imaging system where the signal intensities are preserved (it's an EPI MRI imaging system). So, basically for volume elements or voxels that are smaller than actually intended, the signal would look brighter. For the voxels which are larger than intended, the signal would look lighter because of the distribution of the signal. The signal is distorted normally due to some magnetic field inhomogenieties in the imaging field.

Now, the paper goes on to say that the corrected signal is equal to the distorted signal multiplied by the jacobian of the transformation. I do not understand how multiplying by the Jacobian would result in this signal intensity correction?

Does anyone have any idea about this?

Many thanks,

Luc

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# Question about the Jacobian

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