Using Fourier/Mellin-based Correlators And Their Fractional Versions in Navigational Tasks

Didi Sazbon, Zeev Zalevsky, Ehud Rivlin, and David Mendlovic.
Using Fourier/Mellin-based correlators and their fractional versions in navigational tasks.
Pattern Recognition, 35(12):2993-2999, 2002

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Abstract

The navigational tasks of computing time to impact and controlling movements in speci1c range are addressed here. We show how time to impact can be obtained via the Mellin-based correlator, and we introduce the concept of fractional based correlators. The fractional Fourier=Mellin based correlators can be used in detecting or controlling speci1c range of movements. Also, both the conventional and the fractional-based correlators can be easily implemented optically in lenses, thus providing correlation images directly at image acquisition time. Lenses are considered cost-e6ective and therefore, the optical correlators are optimal in both senses, speed and cost.

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Co-authors

Bibtex Entry

@article{SazbonZRM02a,
  title = {Using Fourier/Mellin-based correlators and their fractional versions in navigational tasks.},
  author = {Didi Sazbon and Zeev Zalevsky and Ehud Rivlin and David Mendlovic},
  year = {2002},
  journal = {Pattern Recognition},
  volume = {35},
  number = {12},
  pages = {2993-2999},
  keywords = {Correlators; Fourier transform; Mellin transform; Fractional Fourier transform; Fractional Mellin transform; Time to impact; Range control},
  abstract = {The navigational tasks of computing time to impact and controlling movements in speci1c range are addressed here. We show how time to impact can be obtained via the Mellin-based correlator, and we introduce the concept of fractional based correlators. The fractional Fourier=Mellin based correlators can be used in detecting or controlling speci1c range of movements. Also, both the conventional and the fractional-based correlators can be easily implemented optically in lenses, thus providing correlation images directly at image acquisition time. Lenses are considered cost-e6ective and therefore, the optical correlators are optimal in both senses, speed and cost.}
}