Poisson image denoising based on fractional-order total variation
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Publication:2297899
DOI10.3934/ipi.2019064zbMath1455.94013OpenAlexW2991085799WikidataQ126646099 ScholiaQ126646099MaRDI QIDQ2297899
Jing Qin, Jun Zhang, Yifei Lou, Mujibur Rahman Chowdhury
Publication date: 20 February 2020
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/ipi.2019064
Ill-posedness and regularization problems in numerical linear algebra (65F22) Fractional derivatives and integrals (26A33) Existence theories for free problems in two or more independent variables (49J10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Discrete approximations in optimal control (49M25) Inverse problems in optimal control (49N45)
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Uses Software
Cites Work
- Unnamed Item
- Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
- Nonlinear total variation based noise removal algorithms
- A fractional-order derivative based variational framework for image denoising
- Fractional-order total variation image denoising based on proximity algorithm
- Poisson noise removal scheme based on fourth-order PDE by alternating minimization algorithm
- Iterative reweighted total generalized variation based Poisson noise removal model
- Fractional differential approach to detecting textural features of digital image and its fractional differential filter implementation
- On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
- An algorithm for total variation minimization and applications
- A fast algorithm for deconvolution and Poisson noise removal
- Deblurring Poisson noisy images by total variation with overlapping group sparsity
- A first-order primal-dual algorithm for convex problems with applications to imaging
- Adaptive fractional-order multi-scale method for image denoising
- NPtool: a MATLAB software for nonnegative image restoration with Newton projection methods
- Augmented Lagrangian method for total generalized variation based Poissonian image restoration
- A new variational approach for restoring images with multiplicative noise
- Poisson noise reduction with non-local PCA
- ACQUIRE: an inexact iteratively reweighted norm approach for TV-based Poisson image restoration
- High-order total bounded variation model and its fast algorithm for Poissonian image restoration
- Alternating direction method for the high-order total variation-based Poisson noise removal problem
- A novel solution for pressure drop in singly connected microchannels of arbitrary cross-section
- A dual algorithm for minimization of the LLT model
- Restoration of astrophysical images -- the case of Poisson data with additive Gaussian noise
- Primal-dual algorithms for total variation based image restoration under Poisson noise
- Phase Retrieval from Incomplete Magnitude Information via Total Variation Regularization
- An Adaptive Strategy for the Restoration of Textured Images using Fractional Order Regularization
- A Fast Augmented Lagrangian Method for Euler's Elastica Models
- A New Detail-Preserving Regularization Scheme
- Total bounded variation-based Poissonian images recovery by split Bregman iteration
- Image Denoising Using Mean Curvature of Image Surface
- A Fast Algorithm for Euler's Elastica Model Using Augmented Lagrangian Method
- Fast Linearized Augmented Lagrangian Method for Euler's Elastica Model
- An alternating extragradient method for total variation-based image restoration from Poisson data
- A New Alternating Minimization Algorithm for Total Variation Image Reconstruction
- A Total Fractional-Order Variation Model for Image Restoration with Nonhomogeneous Boundary Conditions and Its Numerical Solution
- Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
- Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models
- Image Decomposition and Restoration Using Total Variation Minimization and theH1
- High-Order Total Variation-Based Image Restoration
- Hybrid Variational Model for Texture Image Restoration
- Euler's Elastica and Curvature-Based Inpainting
- Adaptive total variation regularization based scheme for Poisson noise removal
- EM-TV Methods for Inverse Problems with Poisson Noise
- A Statistical Model for Positron Emission Tomography
- Restoration of Poissonian Images Using Alternating Direction Optimization
- Optimal Inversion of the Anscombe Transformation in Low-Count Poisson Image Denoising
- Total Generalized Variation
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