| 摘要 |
Fractional Fourier transform properties inherent in lens systems and other light and particle-beam environments may be exploited to correct misfocus effects in photographs, digital files, video, and other types of images. Small corrections may utilize fractional Fourier transform approximations around the reflection operator. The fractional Fourier transform and approximations can be rendered by optical or numerical methods, alone or in combination, directly or though use of a conventional discrete Fourier transform in combination with multiplying phase "chirps." The corrective fractional Fourier transform power may be determined automatically or by human operator. The image correction can be applied to lens-systems or other systems obeying fractional Fourier optics, including integrated optics, optical computing, particle beams, radiation accelerators, and astronomical observation, and may be incorporated into film processing machines, desktop photo editing software, photo editing websites, VCRs, camcorders, video editing systems, video surveillance systems, video conferencing systems, and other types of products and service facilities.
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