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2007•Optics and Precision EngineeringRequires access

Lifting scheme design of biorthogonal wavelet for aviation image compression

FU De-you

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Abstract

An iterative algorithm for designing the best lifting coefficient is put forward based on the relationship between the vanishing moments of wavelets and the multiplicity of zero at z = 1 of corresponding filter.This algorithm can reduce the complexity of solving high-level differential coefficients by solving simple linear equations to design lifting coefficient based on arbitrary biorthogonal wavelet,which meets the requirement of wavelet design dynamically and iteratively.Furthermore,this algorithm can be used to design both symmetrical and asymmetrical wavelets,and also can obtain good results(when compression ratio is 49.913 2,Peak Signal Noise Ratio(PSNR) is 46.279 61) in the aviation image compression.

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What this paper is about

An iterative algorithm for designing the best lifting coefficient is put forward based on the relationship between the vanishing moments of wavelets and the multiplicity of zero at z = 1 of corresponding filter.This algorithm can reduce the complexity of solving high-level differential coefficients by solving simple linear equations to design lifting coefficient based on arbitrary biorthogonal wavelet,which meets the requirement of wavelet design dynamically and iteratively.Furthermore,this algorithm can be used to design both symmetrical and asymmetrical wavelets,and also can obtain good results(when compression ratio is 49.913 2,Peak Signal Noise Ratio(PSNR) is 46.279 61) in the aviation image compression.

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Available abstract

An iterative algorithm for designing the best lifting coefficient is put forward based on the relationship between the vanishing moments of wavelets and the multiplicity of zero at z = 1 of corresponding filter.This algorithm can reduce the complexity of solving high-level differential coefficients by solving simple linear equations to design lifting coefficient based on arbitrary biorthogonal wavelet,which meets the requirement of wavelet design dynamically and iteratively.Furthermore,this algorithm can be used to design both symmetrical and asymmetrical wavelets,and also can obtain good results(when compression ratio is 49.913 2,Peak Signal Noise Ratio(PSNR) is 46.279 61) in the aviation image compression.

Key concepts: Wavelet, Biorthogonal system, Biorthogonal wavelet, Mathematics, Algorithm, Lifting scheme, Peak signal-to-noise ratio, Image compression

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