A survey of architecture and function of the primary visual cortex (V1)
EURASIP Journal on Applied Signal Processing
Feature Extraction of Seal Imprint Based on the Double-Density Dual-Tree DWT
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
Foundations and Trends in Signal Processing
Iris recognition using multi-resolution transforms
International Journal of Biometrics
WAV'09 Proceedings of the 3rd WSEAS international symposium on Wavelets theory and applications in applied mathematics, signal processing & modern science
Multi-focus Image Fusion Based on Fuzzy and Wavelet Transform
CIARP '09 Proceedings of the 14th Iberoamerican Conference on Pattern Recognition: Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications
3-D Data Denoising and Inpainting with the Low-Redundancy Fast Curvelet Transform
Journal of Mathematical Imaging and Vision
Multiple watermarking for copyright protection using DWT and dual-tree CWT
International Journal of Intelligent Engineering Informatics
Complex-valued Thiran allpole filters
Digital Signal Processing
Compressed sensing-based MRI reconstruction using complex double-density dual-tree DWT
Journal of Biomedical Imaging
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This paper introduces the double-density dual-tree discrete wavelet transform (DWT), which is a DWT that combines the double-density DWT and the dual-tree DWT, each of which has its own characteristics and advantages. The transform corresponds to a new family of dyadic wavelet tight frames based on two scaling functions and four distinct wavelets. One pair of the four wavelets are designed to be offset from the other pair of wavelets so that the integer translates of one wavelet pair fall midway between the integer translates of the other pair. Simultaneously, one pair of wavelets are designed to be approximate Hilbert transforms of the other pair of wavelets so that two complex (approximately analytic) wavelets can be formed. Therefore, they can be used to implement complex and directional wavelet transforms. The paper develops a design procedure to obtain finite impulse response (FIR) filters that satisfy the numerous constraints imposed. This design procedure employs a fractional-delay allpass filter, spectral factorization, and filterbank completion. The solutions have vanishing moments, compact support, a high degree of smoothness, and are nearly shift-invariant.