Separation of translation and rotation information using fractional Fourier transformation
Lin Ma, Yingzong Wang, Haitao Dai, Shunxiang Shi
Abstract
Lin Ma, Yingzong Wang, Haitao Dai, Shunxiang Shi
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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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)