Fractional-order total variation image restoration based on primal-dual algorithm

DOI10.1155/2013/585310zbMath1364.94091OpenAlexW1965357430WikidataQ58917202 ScholiaQ58917202MaRDI QIDQ2015775

Dingyu Xue, Yang Quan Chen, Da-Li Chen

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/585310

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Fractional derivatives and integrals (26A33) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

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Cites Work

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• Nonlinear total variation based noise removal algorithms
• Fully fractional anisotropic diffusion for image denoising
• Some first-order algorithms for total variation based image restoration
• Multiphase soft segmentation with total variation and \(H^{1}\) regularization
• An algorithm for total variation minimization and applications
• A first-order primal-dual algorithm for convex problems with applications to imaging
• Adaptive fractional-order multi-scale method for image denoising
• On the convergence of primal-dual hybrid gradient algorithms for total variation image restoration
• Adapted total variation for artifact free decompression of JPEG images
• A novel solution for pressure drop in singly connected microchannels of arbitrary cross-section
• Fourth-order partial differential equations for noise removal
• Convergence Analysis of Primal-Dual Algorithms for a Saddle-Point Problem: From Contraction Perspective
• A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science
• Estimation of 1/f noise
• Fast, robust total variation-based reconstruction of noisy, blurred images
• Identification of Parameters of a Half-Order System
• Fractional Differential Mask: A Fractional Differential-Based Approach for Multiscale Texture Enhancement
• Scale Space and PDE Methods in Computer Vision
• Fractional-order variational optical flow model for motion estimation