Graph Cut Optimization for the Piecewise Constant Level Set Method Applied to Multiphase Image Segmentation

DOI10.1007/978-3-642-02256-2_1zbMath1296.94023OpenAlexW112908001MaRDI QIDQ3629549

Egil Bae, Xue-Cheng Tai

Publication date: 28 May 2009

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-02256-2_1

Mathematics Subject Classification ID

Convex programming (90C25) Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (13)

A general framework of piecewise-polynomial Mumford–Shah model for image segmentation ⋮ Convex Regularization of Discrete-Valued Inverse Problems ⋮ Generalized edge-weighted centroidal Voronoi tessellations for geometry processing ⋮ Completely convex formulation of the Chan-Vese image segmentation model ⋮ Global minimization for continuous multiphase partitioning problems using a dual approach ⋮ Geometry of total variation regularized \(L^p\)-model ⋮ Adaptive wavelet collocation methods for image segmentation using TV-Allen-Cahn type models ⋮ Monte Carlo methods for optimizing the piecewise constant Mumford–Shah segmentation model ⋮ Combinatorial optimization of the discretized multiphase Mumford-Shah functional ⋮ Image segmentation by iterative optimization of multiphase multiple piecewise constant model and Four-Color relabeling ⋮ Compression and denoising using \(l _{0}\)-norm ⋮ Convex multiclass segmentation with shearlet regularization ⋮ Efficient global minimization methods for image segmentation models with four regions

Uses Software

• MAXFLOW

Cites Work

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• A binary level set model and some applications to Mumford-Shah image segmentation
• Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
• Active contours without edges
• Multiphase Image Segmentation via Modica–Mortola Phase Transition
• A variant of the level set method and applications to image segmentation
• Scale Space and PDE Methods in Computer Vision

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