Multiresolution image representation using combined 2-D and 1-D directional filter banks
IEEE Transactions on Image Processing
Highpass-filtering based adaptive directional wavelet transform
PCS'09 Proceedings of the 27th conference on Picture Coding Symposium
A Class of Non-redundant Directional Filter Banks
PCM '09 Proceedings of the 10th Pacific Rim Conference on Multimedia: Advances in Multimedia Information Processing
Design of directional filter banks with arbitrary number of subbands
IEEE Transactions on Signal Processing
Adaptive directional wavelet transform based on directional prefiltering
IEEE Transactions on Image Processing
IEEE Transactions on Signal Processing
A human gait classification method based on radar Doppler spectrograms
EURASIP Journal on Advances in Signal Processing - Special issue on applications of time-frequency signal processing in wireless communications and bioengineering
A reduced-complexity image coding scheme using decision-directed wavelet-based contourlet transform
Journal of Visual Communication and Image Representation
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In this paper, we introduced a class of directional filter banks (DFBs) having the previously proposed uniform DFB (uDFB) as a special case. Except for the uDFB, each DFB in this class can be used to decompose an image yielding up to 12 directions while maintaining perfect reconstruction and maximal decimation. A multiresolution representation can be obtained by repeating the same decomposition at the lowpass band. The permissible property of the filter banks in cases of being implemented by a tree structure and by direct implementation is discussed. The result shows that only one DFB in the class, called the uniform quincunx DFB (uqDFB), satisfies the permissible property when being implemented directly without using the tree structure. The nonuniform quincunx DFB (nuqDFB) is then constructed from the uqDFB by merging its two lowpass subbands. An alternative structure for constructing the nuqDFB is presented. The new structure, while yielding the same frequency partitioning, allows the DFB to be realized with complexity comparable to that of the separable wavelet filter bank. The connection between the discrete filter bank and the continuous directional wavelet is also established. Numerical experiments on directional feature extractions, image denoising and nonlinear approximation are presented at the end of the paper to demonstrate the potential of the nuqDFB