论文信息 - Data compression based on the cubic B-spline wavelet with uniform two-scale relation

Data compression based on the cubic B-spline wavelet with uniform two-scale relation

The aim of this paper is to investigate the potential artificial compression which can be achieved using an interval multiresolution analysis based on a semiorthogonal cubic B-spline wavelet. The Chui-Quak [1] spline multiresolution analysis for the finite interval has been modified [2] so as to be characterized by natural spline projection and uniform two-scale relation. Strengths and weaknesses of the semiorthogonal wavelet as regards artificial compression and data smoothing by the method of thresholding wavelet coefficients are indicated.

C. H. Cooke | S. K. Yang

[1] E. Quak,et al. Decomposition and Reconstruction Algorithms for Spline Wavelets on a Bounded Interval , 1994 .

[2] C. Chui,et al. Wavelets on a Bounded Interval , 1992 .

[3] M. Wickerhauser. Acoustic signal compression with wavelet packets , 1993 .

[4] Charles K. Chui,et al. An Introduction to Wavelets , 1992 .

[5] Multi-resolution analysis on the interval with natural spline projection and uniform two-scale relation , 1995 .

[6] David L. Donoho,et al. De-noising by soft-thresholding , 1995, IEEE Trans. Inf. Theory.

[7] C. Chui. Wavelets: A Tutorial in Theory and Applications , 1992 .

[8] I. Daubechies,et al. Wavelets on the Interval and Fast Wavelet Transforms , 1993 .

[9] Stéphane Mallat,et al. A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[10] L. Schumaker. Spline Functions: Basic Theory , 1981 .

[11] Ingrid Daubechies,et al. Ten Lectures on Wavelets , 1992 .

[12] D. Donoho. Wavelet Shrinkage and W.V.D.: A 10-minute tour , 1997 .

[13] Y. Meyer. Ondelettes sur l'intervalle. , 1991 .

[14] Günther Nürnberger,et al. Numerical Methods of Approximation Theory. , 1982 .