Optical wavelet packet transform and best basis selecting by a volume holographic opto-electronic hybrid system

De Cai; Qiaofeng Tan; Yingbai Yan; Guofan Jin; Minxian Wu; Qingsheng He

doi:10.1117/12.506953

13 November 2003 Optical wavelet packet transform and best basis selecting by a volume holographic opto-electronic hybrid system

De Cai, Qiaofeng Tan, Yingbai Yan, Guofan Jin, Minxian Wu, Qingsheng He

Author Affiliations +

Proceedings Volume 5207, Wavelets: Applications in Signal and Image Processing X; (2003) https://doi.org/10.1117/12.506953
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

Abstract

Wavelet packet transform analyzes signals more finely than wavelet transform does. This advantage can be utilized in optical wavelet transform. To introduce wavelet packet transform into optics, mother wavelets that have scaling functions must be used. If the scaling function does not have analytical formula, its approximation can be computed using the cascade algorithm. With the refinement relationship, its wavelet function can by calculated. After the 1-D wavelet packet bases are obtained, 2-D separable wavelet packet bases can be constructed for optical wavelet packet transform. As an example, a volume holographic opto-electronic system is proposed to fulfill joint best basis selection for a face image bank with the mother Db3.

Citation Download Citation

De Cai, Qiaofeng Tan, Yingbai Yan, Guofan Jin, Minxian Wu, and Qingsheng He "Optical wavelet packet transform and best basis selecting by a volume holographic opto-electronic hybrid system", Proc. SPIE 5207, Wavelets: Applications in Signal and Image Processing X, (13 November 2003); https://doi.org/10.1117/12.506953

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