Circular radon transform

1. What does the Radon transform do?
2. Is Radon transform a linear operator?

What does the Radon transform do?

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).

Is Radon transform a linear operator?

e Radon transform is in fact a linear transformation, which can be seen by the fol- lowing calculations.