Multirate systems and filter banks
Multirate systems and filter banks
Multidimensional Two-channel Linear Phase FIR Filter Banksand Wavelet Bases with Vanishing Moments
Multidimensional Systems and Signal Processing
A group theoretic approach to multidimensional filter banks: theoryand applications
IEEE Transactions on Signal Processing
Multiresolution direction filterbanks: theory, design, and applications
IEEE Transactions on Signal Processing - Part I
IEEE Transactions on Signal Processing
A new class of two-channel biorthogonal filter banks and waveletbases
IEEE Transactions on Signal Processing
Wavelet families of increasing order in arbitrary dimensions
IEEE Transactions on Image Processing
An orthogonal family of quincunx wavelets with continuously adjustable order
IEEE Transactions on Image Processing
Multidimensional orthogonal filter bank characterization and design using the Cayley transform
IEEE Transactions on Image Processing
Isotropic polyharmonic B-splines: scaling functions and wavelets
IEEE Transactions on Image Processing
Special paraunitary matrices, Cayley transform, and multidimensional orthogonal filter banks
IEEE Transactions on Image Processing
IEEE Transactions on Signal Processing
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Two new optimization-based methods are proposed for the design of high-performance quincunx filter banks for the application of image coding. These new techniques are used to build linear-phase finite-length-impulse-response (FIR) perfect-reconstruction (PR) systems with high coding gain, good frequency selectivity, and certain prescribed vanishing-moment properties. A parametrization of quincunx filter banks based on the lifting framework is employed to structurally impose the PR and linear-phase conditions. Then, the coding gain is maximized subject to a set of constraints on vanishing moments and frequency selectivity. Examples of filter banks designed using the newly proposed methods are presented and shown to be highly effective for image coding. In particular, our new optimal designs are shown to outperform three previously proposed quincunx filter banks in 72% to 95% of our experimental test cases. Moreover, in some limited cases, our optimal designs are even able to outperform the well-known (separable) 9/7 filter bank (from the JPEG-2000 standard).