Image compression and denoising via nonseparable wavelet approximation

En Bing Lin; Yi Ling

doi:10.1016/S0377-0427(02)00896-8

Image compression and denoising via nonseparable wavelet approximation

En Bing Lin, Yi Ling

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Pages (from-to)	131-152
Number of pages	22
Journal	Journal of Computational and Applied Mathematics
Volume	155
Issue number	1
DOIs	https://doi.org/10.1016/S0377-0427(02)00896-8
State	Published - Jun 1 2003

Keywords

Image compression
Image denoising
Interpolation
Nonseparable scaling function
Wavelets

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10.1016/S0377-0427(02)00896-8

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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.",

keywords = "Image compression, Image denoising, Interpolation, Nonseparable scaling function, Wavelets",

author = "Lin, {En Bing} and Yi Ling",

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AU - Ling, Yi

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AB - 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.

KW - Image compression

KW - Image denoising

KW - Interpolation

KW - Nonseparable scaling function

KW - Wavelets

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ER -

Image compression and denoising via nonseparable wavelet approximation

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