A variational model and its numerical solution for local, selective and automatic segmentation

DOI10.1007/s11075-013-9741-8zbMath1291.62122OpenAlexW2103131164MaRDI QIDQ2249836

Lavdie Rada, Ke Chen

Publication date: 3 July 2014

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-013-9741-8

zbMATH Keywords

Euler-Lagrange equation3D image segmentationimage selective segmentationlevel set functionsoperator spitting

Mathematics Subject Classification ID

Image analysis in multivariate analysis (62H35) Computing methodologies for image processing (68U10) Energy minimization in equilibrium problems in solid mechanics (74G65) Inverse problems in equilibrium solid mechanics (74G75) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (1)

A general framework of piecewise-polynomial Mumford–Shah model for image segmentation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geodesic active contour under geometrical conditions: theory and 3D applications
• Interactive image segmentation by maximal similarity based region merging
• Curvature and the evolution of fronts
• Geodesic active contours
• Segmentation under geometrical conditions using geodesic active contours and interpolation using level set methods
• A level set model for image classification
• A multiphase level set framework for image segmentation using the Mumford and Shah model
• A 3D multi-grid algorithm for the Chan–Vese model of variational image segmentation
• Optimal approximations by piecewise smooth functions and associated variational problems
• A parallel splitting-up method for partial differential equations and its applications to Navier-Stokes equations
• A Multiscale Algorithm for Image Segmentation by Variational Method
• Active contours without edges
• Image Segmentation by Variational Methods: Mumford and Shah Functional and the Discrete Approximations
• Image Selective Segmentation Under Geometrical Constraints Using an Active Contour Approach
• Minimization of Region-Scalable Fitting Energy for Image Segmentation
• A Region Merging Prior for Variational Level Set Image Segmentation
• Histogram Thresholding Using Fuzzy and Rough Measures of Association Error
• A variant of the level set method and applications to image segmentation
• Image Processing and Analysis
• Contour and texture analysis for image segmentation
• Mathematical problems in image processing. Partial differential equations and the calculus of variations. Foreword by Olivier Faugeras

This page was built for publication: A variational model and its numerical solution for local, selective and automatic segmentation