Orthogonal approximation order preserving prefilters for multiwavelets
David Roach · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2001
In this paper, we show the existence of third-order approximation order preserving prefilters for multiwavelets. We develop the necessary conditions needed to satisfy the approximation criteria and give a constructive proof of their existence. Additionally, we give an example prefilter for the Chui-Lian multiwavlet and implement the prefilter/multiwavelet in an image compression scheme. The compression results are then compared against the standard wavelets of Haar, D4, and D6.