Discrete Lagrangian algorithm for finding geodesics on triangular meshes
type: Item
instance of: scholarly article
title: Discrete Lagrangian algorithm for finding geodesics on triangular meshes
zbMATH Open document ID: 1481.53056
author: Mariana Remešíková
author: Marián Šagát
author: Peter Novysedlák
published in: Applied Mathematical Modelling
publication date: 2020-04-07T00:00:00Z
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 86A30
zbMATH DE Number: 7187290
zbMATH Keywords: geodesic
zbMATH Keywords: geodesic curvature flow
zbMATH Keywords: curve evolution
zbMATH Keywords: cutting pattern design
MaRDI profile type: Publication
full work available at URL: j.apm.2019.06.013
OpenAlex ID: W2951282316
cites work: Approximate shortest path on a polyhedral surface and its applications
cites work: The Discrete Geodesic Problem
cites work: Geodesic curve computations on surfaces
cites work: Computing geodesic paths on manifolds
cites work: Approximating shortest paths on weighted polyhedral surfaces
cites work: Curve shortening on surfaces
cites work: Shortening embedded curves
cites work: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
cites work: Computational and qualitative aspects of evolution of curves driven by curvature and external force
cites work: Manifold Evolution with Tangential Redistribution of Points
cites work: Numerical approximation of gradient flows for closed curves in Rd
cites work: Lagrangean method with topological changes for numerical modelling of forest fire propagation
cites work: Segmentation and restoration of images on surfaces by parametric active contours with topology changes
cites work: Evolution of curves on a surface driven by the geodesic curvature and external force
cites work: Numerical analysis of moving boundary problems using the boundary tracking method
cites work: Removing the stiffness from interfacial flows with surface tension
cites work: Removing the stiffness of curvature in computing 3-D filaments
cites work: A new tangentially stabilized 3D curve evolution algorithm and its application in virtual colonoscopy
cites work: Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms
DOI: 10.1016/J.APM.2019.06.013
description: scientific article; zbMATH DE number 7187290