Nonseparable Wavelet packets
Lasse Borup, Morten Nielsen · 2001
We introduce wavelet packets in the setting of a multiresolution analysis of L 2 (R d ) generated by an arbitrary dilation matrix A satisfying j det Aj = 2, and note that the best-basis algorithm of wavelet packets in the standard one dimensional case can be generalized to this multidimensional setting. We then consider the application of the best basis algorithm in the two-dimensional case for a specic dilation matrix to image compression. The performance of the algorithm is compared to the separable wavelet algorithm for twelve test images.