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Proceedings Paper

Optical wavelet packet transform and best basis selecting by a volume holographic opto-electronic hybrid system
Author(s): De Cai; Qiaofeng Tan; Yingbai Yan; Guofan Jin; Minxian Wu; Qingsheng He
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Paper 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.

Paper Details

Date Published: 13 November 2003
PDF: 10 pages
Proc. SPIE 5207, Wavelets: Applications in Signal and Image Processing X, (13 November 2003); doi: 10.1117/12.506953
Show Author Affiliations
De Cai, Tsinghua Univ. (China)
Qiaofeng Tan, Tsinghua Univ. (China)
Yingbai Yan, Tsinghua Univ. (China)
Guofan Jin, Tsinghua Univ. (China)
Minxian Wu, Tsinghua Univ. (China)
Qingsheng He, Tsinghua Univ. (China)

Published in SPIE Proceedings Vol. 5207:
Wavelets: Applications in Signal and Image Processing X
Michael A. Unser; Akram Aldroubi; Andrew F. Laine, Editor(s)

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