Biorthogonal modified coiflet filters for image compression

The selection of the filter bank in wavelet compression is crucial, affecting the image quality and system design. The biorthogonal coiflet (cooklet) family of wavelet filters has been constructed, and explicit frequency domain formulae have been developed in the Bernstein polynomial basis. We use the Bernstein basis for the frequency domain design and construction of biorthogonal nearly coiflet wavelet bases. In particular, we construct a previously unpublished nearly coiflet 17/11 biorthogonal wavelet filter pair. Key filter quality evaluation metrics due to Villasenor (see IEEE Trans. on Image Proc., vol.4, no.8, p.1053-1060, 1995) demonstrate this filter pair to be well suited for image compression. Comparison is made to the 17/11 biorthogonal coiflet (cooklet), Villasenor 10/18, Odegard 9/7, and classical CDF 9/7 wavelet bases. Simulation results with the SPIHT algorithm due to Said and Pearlman (see IEEE Trans. on Circ. and Systems, vol.6, no.3, p.243-250, 1996), and with our SR_SFQ, confirm that the new 17/11 wavelet basis outperforms the others for still image compression