Convex non-convex segmentation of scalar fields over arbitrary triangulated surfaces

DOI10.1016/j.cam.2018.06.048OpenAlexW2810325903MaRDI QIDQ1713125

Martin Huska, Alessandro Lanza, Serena Morigi, Fiorella Sgallari

Publication date: 24 January 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11585/642215

zbMATH Keywords

mesh segmentationnon-convex regularizationconvex non-convex optimizationMumford-Shah variational model

Mathematics Subject Classification ID

Convex programming (90C25) Nonconvex programming, global optimization (90C26) Computing methodologies for image processing (68U10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (7)

Sparsity-aided variational mesh restoration ⋮ Total generalized variation for triangulated surface data ⋮ A unified surface geometric framework for feature-aware denoising, hole filling and context-aware completion ⋮ Sparsity-Inducing Nonconvex Nonseparable Regularization for Convex Image Processing ⋮ Non-convex total variation regularization for convex denoising of signals ⋮ SMART 2017. Second conference on subdivision, geometric and algebraic methods, isogeometric analysis and refinability in Italy ⋮ A Variational Approach to Additive Image Decomposition into Structure, Harmonic, and Oscillatory Components

Cites Work

• Nonlinear total variation based noise removal algorithms
• Convex image denoising via non-convex regularization with parameter selection
• Augmented Lagrangian method for total variation based image restoration and segmentation over triangulated surfaces
• Nonconvex nonsmooth optimization via convex-nonconvex majorization-minimization
• A three-stage approach for segmenting degraded color images: smoothing, lifting and thresholding (SLaT)
• A Two-Stage Image Segmentation Method Using a Convex Variant of the Mumford--Shah Model and Thresholding
• Optimal approximations by piecewise smooth functions and associated variational problems
• Scale-Space Analysis of Discrete Filtering over Arbitrary Triangulated Surfaces
• Convex Image Denoising via Non-Convex Regularization
• Active contours without edges
• Group-Sparse Signal Denoising: Non-Convex Regularization, Convex Optimization
• Convex Non-Convex Segmentation over Surfaces

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