Abstract
The fractional Radon transform defined, based on the Fourier slice theorem and the fractional Fourier transform, has many potential applications in optics and the pattern-recognition field. Here we study many properties of the fractional Radon transform using existing theory of the regular Radon transform: the inversion formulas, stability estimates, uniqueness and reconstruction for a local data problem, and a range description. Also, we define the fractional exponential Radon transform and present its inversion.
| Original language | English |
|---|---|
| Pages (from-to) | 923-939 |
| Number of pages | 17 |
| Journal | Integral Transforms and Special Functions |
| Volume | 28 |
| Issue number | 12 |
| DOIs | |
| State | Published - 2 Dec 2017 |
Keywords
- exponential Radon transform
- Fourier transform
- Fractional
- Radon transform
- tomography
- X-ray transform