Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information
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Publication:2172558
DOI10.1016/j.camwa.2022.06.025OpenAlexW4285082273MaRDI QIDQ2172558
Matteo Giacomini, Simona Perotto
Publication date: 16 September 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.10138
image segmentationanisotropic mesh adaptationsplit Bregman algorithmspatial informationrecovery-based error estimate
Computing methodologies for image processing (68U10) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Uses Software
Cites Work
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- On local region models and a statistical interpretation of the piecewise smooth Mumford-Shah functional
- Fully anisotropic goal-oriented mesh adaptation for 3D steady Euler equations
- Delaunay mesh generation governed by metric specifications. Part I: Algorithms
- Anisotropic error estimates for elliptic problems
- Implementation of an adaptive finite-element approximation of the Mumford-Shah functional
- Goal-oriented error estimation based on equilibrated-flux reconstruction for finite element approximations of elliptic problems
- An equilibrated fluxes approach to the certified descent algorithm for shape optimization using conforming finite element and discontinuous Galerkin discretizations
- Anisotropic discretization- and model-error estimation in solid mechanics by local Neumann problems
- A multiphase level set framework for image segmentation using the Mumford and Shah model
- A hybrid mesh deformation algorithm using anisotropic PDEs and multiobjective mesh optimization
- A high-order elliptic PDE based level set reinitialisation method using a discontinuous Galerkin discretisation
- Mesh adaptation-aided image segmentation
- A variational framework for region-based segmentation incorporating physical noise models
- High order anchoring and reinitialization of level set function for simulating interface motion
- Direct multiphase mesh generation from 3D images using anisotropic mesh adaptation and a redistancing equation
- Anisotropic mesh adaptation for crack propagation induced by a thermal shock in 2D
- Reliability and efficiency of an anisotropic Zienkiewicz-Zhu error estimator
- On the performance of anisotropic mesh adaptation for scroll wave turbulence dynamics in reaction-diffusion systems
- Subdomain-based flux-free a posteriori error estimators
- An efficient local Chan-Vese model for image segmentation
- Guaranteed computable bounds on quantities of interest in finite element computations
- Anisotropic Adaptation via a Zienkiewicz–Zhu Error Estimator for 2D Elliptic Problems
- An anisotropic Zienkiewicz-Zhu-type error estimator for 3D applications
- Optimal approximations by piecewise smooth functions and associated variational problems
- The Effect of Anisotropic Mesh Adaptation on PDE-Constrained Optimal Control Problems
- A New Alternating Minimization Algorithm for Total Variation Image Reconstruction
- The Split Bregman Method for L1-Regularized Problems
- Approximation of functional depending on jumps by elliptic functional via t-convergence
- Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models
- Exact Bounds for Linear Outputs of the Advection-Diffusion-Reaction Equation Using Flux-Free Error Estimates
- Equilibrated patch recovery error estimates: simple and accurate upper bounds of the error
- A Variational Shape Optimization Approach for Image Segmentation with a Mumford–Shah Functional
- A simple error estimator and adaptive procedure for practical engineerng analysis
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
- The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
- Error Estimates for Adaptive Finite Element Computations
- An adaptive finite element procedure for the image segmentation problem
- Explicit error bounds in a conforming finite element method
- Image segmentation with a finite element method
- Active contours without edges
- Discrete approximation of the Mumford-Shah functional in dimension two
- Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent CFD. Part III. Unstructured meshes
- Image Segmentation by Variational Methods: Mumford and Shah Functional and the Discrete Approximations
- A simple shock‐capturing technique for high‐order discontinuous Galerkin methods
- New development in freefem++
- A High-Order Scheme for Image Segmentation via a Modified Level-Set Method
- Anisotropic Adapted Meshes for Image Segmentation: Application to Three-Dimensional Medical Data
- Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations
- Certified Descent Algorithm for shape optimization driven by fully-computable a posteriori error estimators
- Minimization of Region-Scalable Fitting Energy for Image Segmentation
- Anisotropic mesh adaptation driven by a recovery‐based error estimator for shallow water flow modeling
- Anisotropic Mesh Adaptation for Crack Detection In Brittle Materials
- On Estimation of a Probability Density Function and Mode
- Goal-oriented error estimation and adaptivity for the finite element method
- New anisotropic a priori estimates
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