Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. Final report
Explore this paper's citation graph
Summary
New numerical algorithms are devised (PSC algorithms) for following fronts propagating with curvature-dependent speed, providing methods that accurately capture the formation of sharp gradients and cusps in the moving fronts.
- Type
- article
- Published
- 1987-09-01
- Cited by
- 452
- References
- 0
- OpenAlex
- https://openalex.org/W305335208
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:261903612
Keywords
Hamilton–Jacobi equation, Curvature, Algorithm, Mathematics, Mean curvature flow
References
No references recorded for this paper.
Cited by
- Phase Boundary Propagation in Heterogeneous Media
- Curvilinear Structures Segmentation and Tracking in Interventional Imaging
- A dual-stage method for lesion segmentation on digital mammograms.
- Robust Image Segmentation Applied to Magnetic Resonance and Ultrasound Images of the Prostate. (Segmentation d'images robuste appliqué à l'imagerie par résonance magnétique et l'échographie de la prostate)
- Image Segmentation Using Fuzzy Region Competition and Spatial/Frequency Information
- Medical Image Segmentation Using a Combined Approach
- Contours actifs paramétriques pour la segmentation d'images et vidéos
- ASPECTS OF DIGITAL ELEVATION MODEL DETERMINATION
- Image Segmentation and Edge Detection Based on Chan-Vese Algorithm
- 3D Anatomical Modelling and Simulation Concepts
- A variational formulation of the fast marching eikonal solver
- Mesures statistiques non-paramétriques pour la segmentation d'images et de vidéos et minimisation par contours actifs. (Non-parametric statistical methods for image and video segmentation and minimisation with active contours)
- Recognition of Nonideal Iris Images Using Shape Guided Approach and Game Theory
- Structural Topology Optimization Based on the Level SetMethod Using COMSOL
- Segmentation of 2D-echocardiographic sequences using level-set constrained with shape and motion priors
- Modeling for Free Surface Flow with Phase Change
- A variational method for joint tracking of curve and motion
- On geometric variational models for inpainting surface holes
- Modèles déformables pour la segmentation et la modélisation d'images médicales 3D et 4D
- Free Boundary Problems of Obstacle Type, a Numerical and Theoretical Study
Related papers
- Algorithms Based on Hamilton-Jacobi Formulations
- Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
- HYPERSURFACES MOVING WITH CURVATURE-DEPENDENT SPEED: HAMILTON-JACOBI EQUATIONS, CONSERVATION LAWS AND NUMERICAL ALGORITHMS
- Curvature Flow and Entropy Conditions Applied to Grid Generation
- A fast marching level set method for monotonically advancing fronts.
- Dynamic adaptation for parabolic equations