Image compression and denoising via nonseparable wavelet approximation

Authors:
En-Bing Lin;Yi Ling
Affiliations:
Department of Mathematics, University of Toledo, Toledo, OH;Department of Mathematics, Delaware State University, Dover, DE
Venue:
Journal of Computational and Applied Mathematics - Special issue: Approximation theory, wavelets, and numerical analysis
Year:
2003

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Abstract

It was shown in (Acta Math. Sci. 22 (1) (2002) 19) that two-dimensional nonseparable scaling function interpolation has better convergence results than scalar wavelet systems in some cases based on several experimental results. In this paper, we present applications of two-dimensional nonseparable wavelet approximation. The algorithms are developed by using two-dimensional nonseparable scaling function interpolation to perform image compression and image denoising. Comparing with the separable counterparts, our results show that there are some improvements and advantages of two-dimensional nonseparable scaling function interpolation.