Tomography: from X-rays to Mathematics

My new tomography video is out!

Link to video in YouTube

Mathematicians usually think that the starting point of tomography is a set of line integrals of an unknown function. Every pixel value in the Radon transform, or sinogram, is a value of a line integral along one X-ray.

But in practice we measure intensities of X-ray beams instead of line integrals.

There are a couple of steps in transforming X-ray data into mathematical integrals. The connection between the two is the physical Law of Beer and Lambert. I will explain the theory of this in the video.