Implementational aspects of the contourlet filter bank and application in image coding
EURASIP Journal on Advances in Signal Processing
Complex Gaussian scale mixtures of complex wavelet coefficients
IEEE Transactions on Signal Processing
Uniform discrete curvelet transform
IEEE Transactions on Signal Processing
Journal of Mathematical Imaging and Vision
Similarity-based multimodality image fusion with shiftable complex directional pyramid
Pattern Recognition Letters
Computers and Electrical Engineering
A novel pyramidal dual-tree directional filter bank domain color image watermarking algorithm
ICICS'11 Proceedings of the 13th international conference on Information and communications security
Shift-invariant texture retrieval using P- contourlet
Proceedings of the International Conference on Advances in Computing, Communications and Informatics
Edge structure preserving image denoising using OAGSM/NC statistical model
Digital Signal Processing
Multimodality image fusion by using both phase and magnitude information
Pattern Recognition Letters
Engineering Applications of Artificial Intelligence
Statistical texture retrieval in noise using complex wavelets
Image Communication
Relative phase in dual tree shearlets
Signal Processing
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This paper presents an over-complete multiscale decomposition by combining the Laplacian pyramid and the complex directional filter bank (DFB). The filter bank is constructed in such a way that each complex directional filter is analytical using the dual-tree structure of real fan filters. Necessary and sufficient conditions in order for the resulting multirate filter bank to be shift-invariant in energy sense (shiftability) are derived in terms of the magnitude and phase responses of these filters. Their connection to 2D Hilbert transform relationship is established. The proposed transform possesses several desirable properties including multiresolution, arbitrarily high directional resolution, low redundant ratio, and efficient implementation.