Using Fourier/Mellin-based correlators and their fractional versions in navigational tasks

Didi Sazbon; Zeev Zalevsky; Ehud Rivlin; David Mendlovic

doi:10.1016/s0031-3203(02)00018-3

Using Fourier/Mellin-based correlators and their fractional versions in navigational tasks

Didi Sazbon, Zeev Zalevsky, Ehud Rivlin, David Mendlovic

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

The navigational tasks of computing time to impact and controlling movements in specific 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 specific 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-effective and therefore, the optical correlators are optimal in both senses, speed and cost.

Original language	English
Pages (from-to)	2993-2999
Number of pages	7
Journal	Pattern Recognition
Volume	35
Issue number	12
DOIs	https://doi.org/10.1016/s0031-3203(02)00018-3
State	Published - Dec 2002
Externally published	Yes

Keywords

Correlators
Fourier transform
Fractional Mellin transform
Fractional fourier transform
Mellin transform
Range control
Time to impact

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10.1016/s0031-3203(02)00018-3

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title = "Using Fourier/Mellin-based correlators and their fractional versions in navigational tasks",

abstract = "The navigational tasks of computing time to impact and controlling movements in specific 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 specific 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-effective and therefore, the optical correlators are optimal in both senses, speed and cost.",

keywords = "Correlators, Fourier transform, Fractional Mellin transform, Fractional fourier transform, Mellin transform, Range control, Time to impact",

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AU - Zalevsky, Zeev

AU - Rivlin, Ehud

AU - Mendlovic, David

PY - 2002/12

Y1 - 2002/12

N2 - The navigational tasks of computing time to impact and controlling movements in specific 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 specific 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-effective and therefore, the optical correlators are optimal in both senses, speed and cost.

AB - The navigational tasks of computing time to impact and controlling movements in specific 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 specific 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-effective and therefore, the optical correlators are optimal in both senses, speed and cost.

KW - Correlators

KW - Fourier transform

KW - Fractional Mellin transform

KW - Fractional fourier transform

KW - Mellin transform

KW - Range control

KW - Time to impact

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Using Fourier/Mellin-based correlators and their fractional versions in navigational tasks

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Keywords

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