Abstract
The fractional correlation is a new operation that can easily be implemented by optical means. This operation might be useful for shift-variant pattern recognition and for image restoration. The Wiener filter is the optimal filter according to the minimal square-error criterion. For a given spectral noise that distorts the reference image, this filter is optimal for restoring an image in noise. A fractional Wiener filter is suggested for restoring reference objects in a fractional correlation system. The new filter sometimes performs better than the conventionalWiener filter.
| Original language | English |
|---|---|
| Pages (from-to) | 3930-3936 |
| Number of pages | 7 |
| Journal | Applied Optics |
| Volume | 35 |
| Issue number | 20 |
| DOIs | |
| State | Published - 10 Jul 1996 |
| Externally published | Yes |
Keywords
- Fractional Fourier transform
- Mean square error
- Radon transform
- Wiener filter