Anisotropic Adapted Meshes for Image Segmentation: Application to Three-Dimensional Medical Data
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Publication:5143333
DOI10.1137/20M1348303zbMath1451.65186MaRDI QIDQ5143333
Erika Negrello, Stefano Micheletti, Nicola Ferro, Francesco Clerici, Stefania Marconi, Simona Perotto
Publication date: 11 January 2021
Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)
a posteriori error estimatorimage segmentationvariational modeladditive manufacturinganisotropic mesh adaptation
Numerical optimization and variational techniques (65K10) Computing methodologies for image processing (68U10) 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)
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Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information, An anisotropic recovery-based error estimator for adaptive discontinuous Galerkin methods
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Cites Work
- Unnamed Item
- Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems
- Anisotropic error control for environmental applications
- Fully anisotropic goal-oriented mesh adaptation for 3D steady Euler equations
- Geodesic active contours
- Numerical experiments in revisited brittle fracture
- Implementation of an adaptive finite-element approximation of the Mumford-Shah functional
- Anisotropic discretization- and model-error estimation in solid mechanics by local Neumann problems
- Existence theorem for a minimum problem with free discontinuity set
- Theory and practice of finite elements.
- Mesh adaptation-aided image segmentation
- Anisotropic mesh adaptation for crack propagation induced by a thermal shock in 2D
- Computing minimal surfaces via level set curvature flow
- On the performance of anisotropic mesh adaptation for scroll wave turbulence dynamics in reaction-diffusion systems
- A recovery-based error estimator for anisotropic mesh adaptation in CFD
- The Benefits of Anisotropic Mesh Adaptation for Brittle Fractures Under Plane-Strain Conditions
- 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
- Approximation of functional depending on jumps by elliptic functional via t-convergence
- Mesh Generation
- Anisotropic mesh adaption for time-dependent problems
- A simple error estimator and adaptive procedure for practical engineerng analysis
- The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
- Image segmentation with a finite element method
- Active contours without edges
- 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
- New development in freefem++
- Anisotropic Adaptive Meshes for Brittle Fractures: Parameter Sensitivity
- Anisotropic mesh adaptation driven by a recovery‐based error estimator for shallow water flow modeling
- An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture
- Anisotropic Mesh Adaptation for Crack Detection In Brittle Materials
- New anisotropic a priori estimates
