Makale detayı · 1998
Optimal image restoration with the fractional Fourier transform
Dergi
Journal of the Optical Society of America A- Yıl
- 1998
- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS dergi adı Journal of the Optical Society of America A
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
OpenAlex · İngilizce
The classical Wiener filter, which can be implemented in O(N log N) time, is suited best for space-invariant degradation models and space-invariant signal and noise characteristics. For space-varying degradations and nonstationary processes, however, the optimal linear estimate requires O(N2) time for implementation. Optimal filtering in fractional Fourier domains permits reduction of the error compared with ordinary Fourier domain Wiener filtering for certain types of degradation and noise while requiring only O(N log N) implementation time. The amount of reduction in error depends on the signal and noise statistics as well as on the degradation model. The largest improvements are typically obtained for chirplike degradations and noise, but other types of degradation and noise may also benefit substantially from the method (e.g., nonconstant velocity motion blur and degradation by inhomegeneous atmospheric turbulence). In any event, these reductions are achieved at no additional cost.
Konular
Atıflar
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72 atıf
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Yerel katalogda bu makaleye atıf yapan 18 yayın (OpenAlex referans eşleşmesi; tam dünya listesi değildir).
- The discrete fractional Fourier transform 2000
- Optimal filtering in fractional Fourier domains 1997
- Introduction to the Fractional Fourier Transform and Its Applications 1999
- Beamforming using the fractional Fourier transform 2003
- Fractional Fourier transform pre-processing for neural networks and its application to object recognition 2002
- The discrete fractional Fourier transform 1999
- Nonseparable two-dimensional fractional Fourier transform 1998
- Space–bandwidth-efficient realizations of linear systems 1998
- Perspective projections in the space-frequency plane and fractional Fourier transforms 2000
- Perspective projections in the space-frequency plane and fractional Fourier transforms 2000