Explicit Construction of Framelets

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Symmetric wavelet tight frames with two generators (2004, methodology): “This form of the PR conditions has been investigated in detail and used in [3,7,13] for a more g form of the problem.”
Framelets: MRA-based constructions of wavelet frames☆☆☆ (2003, methodology): “The papers [CH] by Chui and He and [P1,2] by Petukhov present general methods for solving the equations arising from the UEP method if r = 2, seeking to find two appropriate τ 1 and τ 2 where τ 0 is given such that |τ 0 (ω)| 2 + |τ 0 (ω + π)| 2 ≤ 1.”
Directional multiresolution image representations (2002, background): “Recently, there have been a considerable interest in wavelet and filter bank frames [127, 43, 29, 146, 92], where the greater design freedom available by the overcomplete systems leads to a variety of attractive features over bases.”
The double-density dual-tree DWT (2004, background): “The value of Hilbert pairs of wavelet bases has also been discussed in [1], [2], [9], [28], [29].”
Bi-framelet systems with few vanishing moments characterize Besov spaces (2004, methodology): “The construction of multiresolution-based wavelet frames have been studied extensively, see e.g. [6, 8, 22 , 23, 24].”