Multiwavelet prefilters. II. Optimal orthogonal prefilters

@article{Attakitmongcol2001MultiwaveletPI,
  title={Multiwavelet prefilters. II. Optimal orthogonal prefilters},
  author={Kitti Attakitmongcol and Douglas P. Hardin and D. Mitchell Wilkes},
  journal={IEEE transactions on image processing : a publication of the IEEE Signal Processing Society},
  year={2001},
  volume={10 10},
  pages={1476-87}
}
Prefiltering a given discrete signal has been shown to be an essential and necessary step in applications using unbalanced multiwavelets. In this paper, we develop two methods to obtain optimal second-order approximation preserving prefilters for a given orthogonal multiwavelet basis. These procedures use the prefilter construction introduced in part I of this paper. The first prefilter optimization scheme exploits the Taylor series expansion of the prefilter combined with the multiwavelet. The… CONTINUE READING
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