Discrete Lagrangian algorithm for finding geodesics on triangular meshes
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Publication:1985213
DOI10.1016/j.apm.2019.06.013zbMath1481.53056OpenAlexW2951282316MaRDI QIDQ1985213
Marián Šagát, Peter Novysedlák, M. Remešíková
Publication date: 7 April 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2019.06.013
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Geodesics in global differential geometry (53C22) Geodesy, mapping problems (86A30)
Cites Work
- Unnamed Item
- Segmentation and restoration of images on surfaces by parametric active contours with topology changes
- A new tangentially stabilized 3D curve evolution algorithm and its application in virtual colonoscopy
- Approximate shortest path on a polyhedral surface and its applications
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Shortening embedded curves
- Removing the stiffness of curvature in computing 3-D filaments
- Removing the stiffness from interfacial flows with surface tension
- Numerical analysis of moving boundary problems using the boundary tracking method
- Geodesic curve computations on surfaces
- Manifold Evolution with Tangential Redistribution of Points
- The Discrete Geodesic Problem
- Curve shortening on surfaces
- Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms
- Computing geodesic paths on manifolds
- Numerical approximation of gradient flows for closed curves in Rd
- Evolution of curves on a surface driven by the geodesic curvature and external force
- Approximating shortest paths on weighted polyhedral surfaces
- Computational and qualitative aspects of evolution of curves driven by curvature and external force
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