The Radon Transform

The Radon transform, which was first discussed in 1912 by J. Radon, can be seen as a special case of a symmetry-preserving integral transform. The theory of this transformation is closely connected to Fourier transforms. The name Radon transform was first used by F. John in 1955. Its use in computer tomography aroused a renaissance of interest in some of the older problems in optics and geometrical probabilities. But the discoveries were not confined to Euclidean spaces. The present state is well documented [15], [19].