Wavelet Statistics of Sparse and Self-Similar Images
DOI10.1137/151003015zbMath1348.60059OpenAlexW2190195640MaRDI QIDQ2797767
Julien Fageot, Emrah Bostan, Michael Unser
Publication date: 31 March 2016
Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)
Full work available at URL: http://infoscience.epfl.ch/record/216129
central limit theoremself-similar processesimaginginnovation modelsparse processeswavelet statistics
Random fields; image analysis (62M40) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Central limit and other weak theorems (60F05) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Generalized stochastic processes (60G20) Self-similar stochastic processes (60G18)
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- Multifractal analysis of Lévy fields
- Left-inverses of fractional Laplacian and sparse stochastic processes
- On the continuity of characteristic functionals and sparse stochastic modeling
- Self-similar random fields and rescaled random balls models
- Spectral representations of infinitely divisible processes
- Gaussian and their subordinates self-similar random generalized fields
- On advances in statistical modeling of natural images
- Wavelets, generalized white noise and fractional integration: The synthesis of fractional Brownian motion
- A Unified Formulation of Gaussian Versus Sparse Stochastic Processes—Part II: Discrete-Domain Theory
- Sparsity and Infinite Divisibility
- A Unified Formulation of Gaussian Versus Sparse Stochastic Processes—Part I: Continuous-Domain Theory
- Compressible Distributions for High-Dimensional Statistics
- Fractional Brownian Vector Fields
- An Introduction to Sparse Stochastic Processes
- Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
- Convergence cylindrique et convergence étroite d'une suite de probabilités de Radon
- Stochastic models for generic images
- Stochastic Models for Sparse and Piecewise-Smooth Signals
- On MMSE and MAP Denoising Under Sparse Representation Modeling Over a Unitary Dictionary
- Compressibility of Deterministic and Random Infinite Sequences
- Analysis of multiresolution image denoising schemes using generalized Gaussian and complexity priors
- Invariances, Laplacian-Like Wavelet Bases, and the Whitening of Fractal Processes
- Sparse Stochastic Processes and Discretization of Linear Inverse Problems
- Fractional Brownian Motions, Fractional Noises and Applications
- Compressed sensing