2002Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIERequires access

Separation of translation and rotation information using fractional Fourier transformation

Lin Ma, Yingzong Wang, Haitao Dai, Shunxiang Shi

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Abstract

The Fractional Fourier transform (FRT) is shown to be of potential use in the Optical Information processing. The effects of displacement and inclination in space domain on the intensity distribution in fractional Fourier transformation domain are studied. It is shown that the translation and rotation information can be separated simultaneously by experiment. The experiment setup has been built based on the principle proposed in this paper. Experimental results demonstrate that this method is feasible.

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What this paper is about

The Fractional Fourier transform (FRT) is shown to be of potential use in the Optical Information processing. The effects of displacement and inclination in space domain on the intensity distribution in fractional Fourier transformation domain are studied. It is shown that the translation and rotation information can be separated simultaneously by experiment. The experiment setup has been built based on the principle proposed in this paper. Experimental results demonstrate that this method is feasible.

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Available abstract

The Fractional Fourier transform (FRT) is shown to be of potential use in the Optical Information processing. The effects of displacement and inclination in space domain on the intensity distribution in fractional Fourier transformation domain are studied. It is shown that the translation and rotation information can be separated simultaneously by experiment. The experiment setup has been built based on the principle proposed in this paper. Experimental results demonstrate that this method is feasible.

Key concepts: Fourier transform, Translation (biology), Fourier domain, Rotation (mathematics), Transformation (genetics), Fractional Fourier transform, Domain (mathematical analysis), Distribution (mathematics)

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