In computed tomography (CT), why is 'Inverse Problem of Radon transform' studied?

1. What is inverse Radon transform?
2. What is Radon transform in CT scan?
3. What is Radon transform and sinogram?

What is inverse Radon transform?

Inverse Radon Transform Definition. The iradon function inverts the Radon transform and can therefore be used to reconstruct images. As described in Radon Transform, given an image I and a set of angles theta , the radon function can be used to calculate the Radon transform. R = radon(I,theta);

What is Radon transform in CT scan?

The Radon transform is an integral transform whose inverse is used to reconstruct images from medical CT scans. A technique for using Radon transforms to reconstruct a map of a planet's polar regions using a spacecraft in a polar orbit has also been devised (Roulston and Muhleman 1997).

What is Radon transform and sinogram?

The Radon transform data is often called a sinogram because the Radon transform of an off-center point source is a sinusoid. Consequently, the Radon transform of a number of small objects appears graphically as a number of blurred sine waves with different amplitudes and phases.