Two-Phase Image Segmentation by Nonconvex Nonsmooth Models with Convergent Alternating Minimization Algorithms (Q5881399)

scientific article; zbMATH DE number 7661753

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English	Two-Phase Image Segmentation by Nonconvex Nonsmooth Models with Convergent Alternating Minimization Algorithms	scientific article; zbMATH DE number 7661753

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scholarly article

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title

Two-Phase Image Segmentation by Nonconvex Nonsmooth Models with Convergent Alternating Minimization Algorithms (English)

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Journal of Computational Mathematics

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publication date

10 March 2023

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zbMATH Keywords

nonconvex nonsmooth regularization

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characteristic function

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box constraints

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support shrinking

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alternating minimization

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Kurdyka-Łojasiewicz property

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image segmentation

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RecPF

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MaRDI publication profile

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full work available at URL

https://doi.org/10.4208/jcm.2108-m2021-0057

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cites work

Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality

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Global minimization for continuous multiphase partitioning problems using a dual approach

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Linearly Constrained Non-Lipschitz Optimization for Image Restoration

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Proximal alternating linearized minimization for nonconvex and nonsmooth problems

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Completely convex formulation of the Chan-Vese image segmentation model

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Linkage Between Piecewise Constant Mumford--Shah Model and Rudin--Osher--Fatemi Model and Its Virtue in Image Segmentation

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A Two-Stage Image Segmentation Method Using a Convex Variant of the Mumford--Shah Model and Thresholding

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A Convex Approach to Minimal Partitions

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Convex non-convex image segmentation

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Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models

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Active contours without edges

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Smoothing methods for nonsmooth, nonconvex minimization

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Non-Lipschitz $\ell_{p}$-Regularization and Box Constrained Model for Image Restoration

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Optimality Conditions and a Smoothing Trust Region Newton Method for NonLipschitz Optimization

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Smoothing Nonlinear Conjugate Gradient Method for Image Restoration Using Nonsmooth Nonconvex Minimization

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Convergence of the reweighted $\ell_1$ minimization algorithm for $\ell_2-\ell_p$ minimization

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Using prior shapes in geometric active contours in a variational framework

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The $L_{0}$ Regularized Mumford–Shah Model for Bias Correction and Segmentation of Medical Images

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On the local and global minimizers of $ \newcommand{\e}{{\rm e}} \ell_0$ gradient regularized model with box constraints for image restoration

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On a general smoothly truncated regularization for variational piecewise constant image restoration: construction and convergent algorithms

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Effective two-stage image segmentation: a new non-Lipschitz decomposition approach with convergent algorithm

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Nonconvex TV$^q$-Models in Image Restoration: Analysis and a Trust-Region Regularization--Based Superlinearly Convergent Solver

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Global Convergence of Splitting Methods for Nonconvex Composite Optimization

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A Three-Stage Variational Image Segmentation Framework Incorporating Intensity Inhomogeneity Information

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The TV<i> <sub>p</sub> </i> Regularized Mumford-Shah Model for Image Labeling and Segmentation

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A Wavelet Frame Method with Shape Prior for Ultrasound Video Segmentation

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Analysis of the Recovery of Edges in Images and Signals by Minimizing Nonconvex Regularized Least-Squares

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Efficient Reconstruction of Piecewise Constant Images Using Nonsmooth Nonconvex Minimization

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Douglas--Rachford Splitting and ADMM for Nonconvex Optimization: Tight Convergence Results

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A multiphase level set framework for image segmentation using the Mumford and Shah model

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A nonconvex truncated regularization and box-constrained model for CT reconstruction

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A globally convergent algorithm for a constrained non-Lipschitz image restoration model

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A New Alternating Minimization Algorithm for Total Variation Image Reconstruction

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Global convergence of ADMM in nonconvex nonsmooth optimization

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A general truncated regularization framework for contrast-preserving variational signal and image restoration: motivation and implementation

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Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models

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Non-Convex and Convex Coupling Image Segmentation via TGpV Regularization and Thresholding

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Two-stage image segmentation based on nonconvex $\ell_2-\ell_p$ approximation and thresholding

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An iterative support shrinking algorithm for non-Lipschitz optimization in image restoration

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On the Edge Recovery Property of Noncovex Nonsmooth Regularization in Image Restoration

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A globally convergent algorithm for a class of gradient compounded non-Lipschitz models applied to non-additive noise removal

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Image segmentation using Euler's elastica as the regularization

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Identifiers

DOI

10.4208/jcm.2108-m2021-0057

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5881399