Poisson Inverse Problems by the Plug-and-Play scheme
@article{Rond2016PoissonIP, title={Poisson Inverse Problems by the Plug-and-Play scheme}, author={A. Rond and Raja Giryes and Michael Elad}, journal={J. Vis. Commun. Image Represent.}, year={2016}, volume={41}, pages={96-108} }
The Anscombe transform offers an approximate conversion of a Poisson random variable into a Gaussian one. [...] Key Method Deploying the Plug-and-Play approach to such problems leads to an iterative scheme that repeats several key steps: 1) A convex programming task of simple form that can be easily treated; 2) A powerful Gaussian denoising algorithm of choice; and 3) A simple update step.
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References
SHOWING 1-10 OF 39 REFERENCES
Optimal Inversion of the Anscombe Transformation in Low-Count Poisson Image Denoising
- Mathematics, Computer Science
- IEEE Transactions on Image Processing
- 2011
- 272
- PDF
A primal-dual proximal splitting approach for restoring data corrupted with poisson-gaussian noise
- Computer Science, Mathematics
- 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
- 2012
- 45
- PDF
Sparsity-Based Poisson Denoising With Dictionary Learning
- Computer Science, Mathematics
- IEEE Transactions on Image Processing
- 2014
- 82
- PDF
Parallel Proximal Algorithm for Image Restoration Using Hybrid Regularization
- Mathematics, Computer Science
- IEEE Transactions on Image Processing
- 2011
- 136
- PDF
Restoration of Poissonian Images Using Alternating Direction Optimization
- Mathematics, Computer Science
- IEEE Transactions on Image Processing
- 2010
- 369
- PDF
Wavelets, Ridgelets, and Curvelets for Poisson Noise Removal
- Mathematics, Computer Science
- IEEE Transactions on Image Processing
- 2008
- 340
- PDF
Plug-and-Play priors for model based reconstruction
- Mathematics, Computer Science
- 2013 IEEE Global Conference on Signal and Information Processing
- 2013
- 343
- Highly Influential
- PDF
Deconvolution under Poisson noise using exact data fidelity and synthesis or analysis sparsity priors
- Computer Science, Mathematics
- 2011
- 25
- PDF
Plug-and-Play Priors for Bright Field Electron Tomography and Sparse Interpolation
- Computer Science, Mathematics
- IEEE Transactions on Computational Imaging
- 2016
- 160
- PDF
Sparse Poisson Noisy Image Deblurring
- Medicine, Mathematics
- IEEE Transactions on Image Processing
- 2012
- 77