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For an arbitrary matrix dilation, any integer n and any integer/semi-integerc, we describe all masks that are symmetric with respect to the point c andhave sum rule of order n. For each such mask, we give explicit formulas forwavelet functions that are point symmetric/antisymmetric and generateframe-like wavelet system providing approximation order n. For any matrixdilations (which are appropriate for axial symmetry group on R^2 in somenatural sense) and given integer n, axial symmetric/antisymmetric frame-likewavelet systems providing approximation order n are constructed. Also, forseveral matrix dilations the explicit construction of highly symmetricframe-like wavelet systems providing approximation order n is presented.

On construction of multivariate symmetric MRA-based wavelets