11 January 2005 Using optical separable wavelet transform to construct oriented optical filter
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Based on the cascade algorithm and the theory of 2-D separable wavelet transform, 2-D approximations of scaling and wavelet basis functions are computed and used in optical wavelet transform. The optical transform using these separable wavelet bases can be called optical separable wavelet transform. And the selection of mother wavelets is extended. Unlike 2-D discrete separable wavelet transform, optical separable wavelet transform does not have limitation on direction selectivity. Linearly combining multiple directional channels as a superposition filter, the transform of these bases can be fulfilled simultaneously and the transform results can be synthesized on the output plane. In this paper, 2-D scaling and wavelet basis functions of a biorthogonal wavelet, bior2.6, are calculated. Four directional channels combine into an oriented optical filter to increase the extracted feature energy in high frequency band. And simulation results are presented.
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De Cai, De Cai, Qiaofeng Tan, Qiaofeng Tan, Yingbai Yan, Yingbai Yan, Guofan Jin, Guofan Jin, Qingsheng He, Qingsheng He, "Using optical separable wavelet transform to construct oriented optical filter", Proc. SPIE 5642, Information Optics and Photonics Technology, (11 January 2005); doi: 10.1117/12.576302; https://doi.org/10.1117/12.576302

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