Wavelets and Multigrid

Abstract

The last few years have seen a remarkable amount of activity and interest in the field of wavelet theory and multiresolution analysis. With this heightened level of interest, researchers in diverse fields have begun to consider wavelet-based methods. The work presented in this paper was done in an exploratory spirit, by investigating the very suggestive similarities between multiresolution analysis and multigrid methods. The results are preliminary and only point to several avenues of future work.