How to implement Central slice theorem in matlab?

Hello!

May I have you help please with the below issue:

I am trying to find a accurate and fast implementation of the central slice theorem, I understand that the algorithm should have three steps as below but unfortunately I don't know how to implement it?!

First step: is to apply a 1D Fourier transform to the projections, to transform the tilt series into the radially sampled Fourier domain.

Second step: These Fourier data are then regridded from the radial to the Cartesian grid,

finally: a 2D inverse Fourier transform is applied to obtain the initial image.

I would be very grateful for your help Alan

[Youssef Khmou]

hi, what do you mean by "projections" ?

[Alan AF]

Hi thanks for your comment, Projections are the Radon transform of a 2D image.

[Youssef Khmou]

ok, so you have the initial image, and you want to apply the three steps to go back to it right ?

[Youssef Khmou]

i just checked the Radon function, but in the step 2, you need theta and rho where you will get rho, ?