Image compression and denoising via nonseparable wavelet approximation

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.