Anisotropic Fast-Marching on Cartesian Grids Using Lattice Basis Reduction

From MaRDI portal
Publication:2927823

DOI10.1137/120861667zbMath1312.65172arXiv1201.1546OpenAlexW3100149427MaRDI QIDQ2927823

Jean-Marie Mirebeau

Publication date: 4 November 2014

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.1546




Related Items

Adaptive, anisotropic and hierarchical cones of discrete convex functionsThe geodesic distance on the generalized gamma manifold for texture image retrievalGeodesic distance and curves through isotropic and anisotropic heat equations on images and surfacesAn efficient jet marcher for computing the quasipotential for 2D SDEs. Enhancing accuracy and efficiency of quasipotential solversGeometrical optical illusion via sub-Riemannian geodesics in the roto-translation groupGlobal minimum for a Finsler elastica minimal path approachTotal roto-translational variationNumerical geometric acoustics: an eikonal-based approach for modeling sound propagation in 3D environmentsSub-Riemannian Geometry in Image Processing and Modeling of the Human Visual SystemEquivalent extensions of Hamilton-Jacobi-Bellman equations on hypersurfacesTracking of lines in spherical images via sub-Riemannian geodesics in \(\mathrm{SO}(3)\)Piecewise Geodesics for Vessel Centerline Extraction and Boundary Delineation with Application to Retina SegmentationData-Driven Sub-Riemannian Geodesics in SE(2)Single pass computation of first seismic wave travel time in three dimensional heterogeneous media with general anisotropyAugmented Lagrangian methods for degenerate Hamilton-Jacobi equationsPath planning for an autonomous underwater vehicle in a cluttered underwater environment based on the heat methodMonotone and consistent discretization of the Monge-Ampère operatorA PDE Approach to Data-Driven Sub-Riemannian Geodesics in $SE$(2)Fast asymmetric fronts propagation for image segmentationFast-marching methods for curvature penalized shortest pathsOptimal paths for variants of the 2D and 3D Reeds-Shepp car with applications in image analysisNilpotent approximations of sub-Riemannian distances for fast perceptual grouping of blood vessels in 2D and 3DOrdered line integral methods for solving the eikonal equationMinimal Stencils for Discretizations of Anisotropic PDEs Preserving Causality or the Maximum PrincipleMulti-stencils fast marching method for factored eikonal equations with quadratic anisotropyImproved Accuracy of Monotone Finite Difference Schemes on Point Clouds and Regular GridsRiemannian Fast-Marching on Cartesian Grids, Using Voronoi's First Reduction of Quadratic FormsExtremal controls for the Duits car