Hexagonally symmetric orthogonal filters with \(\sqrt{3}\) refinement (Q2658570)

In wavelet theory, it is desired to have symmetry properties to work out well for applications. In the present paper, the author provides a way to parametrize orthogonal hexagonally symmetric low-pass filters with size up to 7-by-7 and also various symmetry centers. Then, he proposes a method to produce tight wavelet frames that inherit the symmetry from the initial low-pass filter. Finally, he suggests how to construct orthogonal hexagonally symmetric wavelets.