Multilevel algorithm for a Poisson noise removal model with total-variation regularization

DOI10.1080/00207160701450390zbMath1124.65057OpenAlexW2105469730MaRDI QIDQ5308817

Ke Chen, Raymond Honfu Chan

Publication date: 8 October 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701450390

zbMATH Keywords

regularizationnumerical experimentsmultilevel methodsimage restorationPoisson noisedata-fittingnonlinear solvers

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (12)

Sparse representation on graphs by tight wavelet frames and applications ⋮ Primal-dual algorithms for total variation based image restoration under Poisson noise ⋮ A weightedH¹seminorm regularization method for Fredholm integral equations of the first kind ⋮ A novel sparsity reconstruction method from Poisson data for 3D bioluminescence tomography ⋮ Sampling-based uncertainty quantification in deconvolution of X-ray radiographs ⋮ An optimization-based multilevel algorithm for variational image segmentation models ⋮ Multiplicative Noise Removal Based on Unbiased Box-Cox Transformation ⋮ Total Variation--Based Phase Retrieval for Poisson Noise Removal ⋮ A nonlocal low rank model for Poisson noise removal ⋮ High-order total bounded variation model and its fast algorithm for Poissonian image restoration ⋮ Homotopy method for a mean curvature-based denoising model ⋮ A restarted iterative homotopy analysis method for two nonlinear models from image processing

Cites Work

• Unnamed Item
• Nonlinear total variation based noise removal algorithms
• Optimal level curves and global minimizers of cost functionals in image segmentation
• Image restoration with discrete constrained total variation. I: Fast and exact optimization
• On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation
• Global and uniform convergence of subspace correction methods for some convex optimization problems
• An Optimization‐Based Multilevel Algorithm for Total Variation Image Denoising
• A general framework for nonlinear multigrid inversion
• Complexity-regularized image denoising
• A multigrid approach to discretized optimization problems
• Multiscale modeling and estimation of Poisson processes with application to photon-limited imaging
• Computational Methods for Inverse Problems
• A Comparative Simulation Study of Wavelet Shrinkage Estimators for Poisson Counts
• Image Processing and Analysis
• THE TRANSFORMATION OF POISSON, BINOMIAL AND NEGATIVE-BINOMIAL DATA

This page was built for publication: Multilevel algorithm for a Poisson noise removal model with total-variation regularization