A Convex Approach for Image Restoration with Exact Poisson-Gaussian Likelihood
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Summary
This work proposes a convex optimization strategy for the reconstruction of images degraded by a linear operator and corrupted with a mixed Poisson-Gaussian noise, and shows that in a variational framework the Shifted Poisson and Exponential approximations lead to very good restoration results.
- Type
- article
- Published
- 2015-11-19
- Cited by
- 103
- References
- 75
- Access
- Open access
- OpenAlex
- https://openalex.org/W260788981
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:28713717
Keywords
Mathematics, Gaussian, Poisson distribution, Applied mathematics, Shot noise
References
- Convex Analysis and Monotone Operator Theory in Hilbert Spaces
- Spectral Unmixing of Multispectral Lidar Signals
- New convergence results for the scaled gradient projection method
- A penalized weighted least squares approach for restoring data corrupted with signal-dependent noise
- Image Restoration with Signal-dependent Camera Noise
- Playing with Duality: An overview of recent primal?dual approaches for solving large-scale optimization problems
- Proximité et dualité dans un espace hilbertien
- Restoration of Images Corrupted by Impulse Noise and Mixed Gaussian Impulse Noise using Blind Inpainting
- A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science
- Frame-based Poisson image restoration using a proximal linearized alternating direction method
- A Variational Approach to Removing Multiplicative Noise
- A Primal–Dual Splitting Method for Convex Optimization Involving Lipschitzian, Proximable and Linear Composite Terms
- Signal Recovery by Proximal Forward-Backward Splitting
- Primal-Dual Splitting Algorithm for Solving Inclusions with Mixtures of Composite, Lipschitzian, and Parallel-Sum Type Monotone Operators
- Precise and fast computation of Lambert W-functions without transcendental function evaluations
- Deconvolution under Poisson noise using exact data fidelity and synthesis or analysis sparsity priors
- A New Total Variation Method for Multiplicative Noise Removal
- Clipped noisy images: Heteroskedastic modeling and practical denoising
- Splitting Algorithms for the Sum of Two Nonlinear Operators
- Convergence Analysis of Primal-Dual Algorithms for a Saddle-Point Problem: From Contraction Perspective
Cited by
- Algorithmes d'optimisation en grande dimension : applications à la résolution de problèmes inverses. (Large scale optimization algorithms: applications to solution of inverse problem)
- A Generic Proximal Algorithm for Convex Optimization—Application to Total Variation Minimization
- Restoration of images corrupted by mixed Gaussian-impulse noise by iterative soft-hard thresholding
- Modelling hospital length of stay using convolutive mixtures distributions
- Fast variational Bayesian signal recovery in the presence of Poisson-Gaussian noise
- Blind restoration of images degraded with mixed poisson-Gaussian noise with application in transmission electron microscopy
- Discrete Geometry for Computer Imagery
- Restoration of images degraded by signal-dependent noise based on energy minimization: an empirical study
- Structure-adaptive CBCT reconstruction using weighted total variation and Hessian penalties.
- Restoration of a Poissonian-Gaussian color moving-image sequence with virtual multiplex imaging and super-resolution deblurring
- MindX: Denoising Mixed Impulse Poisson-Gaussian Noise Using Proximal Algorithms
- Image Denoising via Bandwise Adaptive Modeling and Regularization Exploiting Nonlocal Similarity
- A Variational Bayesian Approach for Restoring Data Corrupted with Non-Gaussian Noise
- Infimal Convolution of Data Discrepancies for Mixed Noise Removal
- Single image super-resolution reconstruction in presence of mixed Poisson-Gaussian noise
- Advanced methods and algorithm for high precision astronomical imaging. (Méthodes et algorithmes avancés pour l'imagerie astronomique de haute précision)
- Fourier ptychographic microscopy using a generalized Anscombe transform approximation of the mixed Poisson-Gaussian likelihood.
- A Variational Bayesian Approach for Image Restoration—Application to Image Deblurring With Poisson–Gaussian Noise
- Distributed Deblurring of Large Images of Wide Field-of-View
- Iteratively Reweighted Blind Deconvolution With Adaptive Regularization Parameter Estimation
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