Simple regularity criteria for subdivision schemes
SIAM Journal on Mathematical Analysis
Multirate systems and filter banks
Multirate systems and filter banks
Subband Compression of Images: Principals and Examples
Subband Compression of Images: Principals and Examples
Digital Coding of Waveforms: Principles and Applications to Speech and Video
Digital Coding of Waveforms: Principles and Applications to Speech and Video
On the optimality of nonunitary filter banks in subband coders
IEEE Transactions on Image Processing
Wavelet filter evaluation for image compression
IEEE Transactions on Image Processing
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Maximum regular wavelet filter banks have received much attention in the literature, and it is a general conception that they enjoy some type of optimality for image coding purposes. To investigate this claim, this article focuses on one particular biorthogonal wavelet filter bank, namely, the 2-channel 9/7. As a comparison, we generate all possible 9/7 filter banks with perfect reconstruction and linear phase while having a different number of zeros at z = -1 for both analysis and synthesis lowpass filters. The best performance is obtained when the filter bank has 2/2 zeros at z = -1 for the analysis and synthesis lowpass filters, respectively. The competing wavelet 9/7 filter bank, which has 4/4 zeros at z = -1, is thus judged inferior both in terms of objective error measurements and informal visual inspections. It is further shown that the 9/7 wavelet filter bank can be obtained using gain-optimized 9/7 filter bank.