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The contourlet transform: an efficient directional multiresolution image representation
A "true" two-dimensional transform that can capture the intrinsic geometrical structure that is key in visual information is pursued and it is shown that with parabolic scaling and sufficient directional vanishing moments, contourlets achieve the optimal approximation rate for piecewise smooth functions with discontinuities along twice continuously differentiable curves.
Adaptive wavelet thresholding for image denoising and compression
- S. Chang, Bin Yu, M. Vetterli
- Computer Science, EngineeringIEEE Trans. Image Process.
- 1 September 2000
An adaptive, data-driven threshold for image denoising via wavelet soft-thresholding derived in a Bayesian framework, and the prior used on the wavelet coefficients is the generalized Gaussian distribution widely used in image processing applications.
Wavelets and Subband Coding
Wavelets and Subband Coding offered a unified view of the exciting field of wavelets and their discrete-time cousins, filter banks, or subband coding and developed the theory in both continuous and discrete time.
Sampling signals with finite rate of innovation
This work proves sampling theorems for classes of signals and kernels that generalize the classic "bandlimited and sinc kernel" case and shows how to sample and reconstruct periodic and finite-length streams of Diracs, nonuniform splines, and piecewise polynomials using sinc and Gaussian kernels.
Wavelet-based texture retrieval using generalized Gaussian density and Kullback-Leibler distance
A statistical view of the texture retrieval problem is presented by combining the two related tasks, namely feature extraction (FE) and similarity measurement (SM), into a joint modeling and classification scheme that leads to a new wavelet-based texture retrieval method that is based on the accurate modeling of the marginal distribution of wavelet coefficients using generalized Gaussian density (GGD).
Wavelets and signal processing
A simple, nonrigorous, synthetic view of wavelet theory is presented for both review and tutorial purposes. The discussion includes nonstationary signal analysis, scale versus frequency, wavelet…
Receiver-driven layered multicast
The RLM protocol is described, its performance is evaluated with a preliminary simulation study that characterizes user-perceived quality by assessing loss rates over multiple time scales, and the implementation of a software-based Internet video codec is discussed.
Fast Fourier transforms: a tutorial review and a state of the art
A Frequency Domain Approach to Registration of Aliased Images with Application to Super-resolution
A frequency domain technique to precisely register a set of aliased images, based on their low-frequency, aliasing-free part, and a high-resolution image is then reconstructed using cubic interpolation.
Wavelets and filter banks: theory and design
The perfect reconstruction condition is posed as a Bezout identity, and it is shown how it is possible to find all higher-degree complementary filters based on an analogy with the theory of Diophantine equations.