“…The theory of interpolating wavelets based on a subdivision scheme has attracted much attention recently [ 1,9,12,13,17,22,27,29,40,42,[45][46][47][48][49][54][55][56]65,66]. Because the digital sampling space is exactly homomorphic to the multiscale spaces generated by interpolating wavelets, the wavelet coefficients can be obtained from linear combinations of discrete samples rather than from traditional inner product integrals.…”