Boundary filters design for multiwavelets

In this paper we consider the optimization of the boundary filters with perfect reconstruction property and moment conditions for multiwavelet, Since the filters coefficients are matrices, the moment conditions for multiwavelet do not relate to the filters coefficients in a simple way. We propose a scheme to formulate the moment conditions for the optimization of a given multiwavelet. We apply the proposed scheme on GHM multiwavelet and obtain a set of boundary filters, which possess the desired moment conditions and reduce the boundary artifacts up to 75% as compared to the truncated filters.