Title
Geodesic Paths on Triangular Meshes
Abstract
We present a new algorithm to compute a geodesic path over a triangulated surface. Based in Sethian's Fast Marching Method and Polthier's Straightest Geodesics theory, we are able to generate an iterative process to obtain a good discrete geodesic approximation. It can handle convex and non-convex surfaces as well.
Year
DOI
Venue
2004
10.1109/SIBGRA.2004.1352963
SIBGRAPI
Keywords
Field
DocType
iterative process,triangulated surface,geodesic path,straightest geodesics theory,good discrete geodesic approximation,fast marching method,new algorithm,non-convex surface,triangular meshes,geodesic paths,iterative methods,triangular mesh,data visualisation,differential geometry,fast marching,computational geometry
Topology,Polygon mesh,Mathematical analysis,Fast marching method,Iterative method,Computational geometry,Solving the geodesic equations,Regular polygon,Differential geometry,Mathematics,Geodesic
Conference
ISBN
Citations 
PageRank 
0-7695-2227-0
14
0.96
References 
Authors
5
3
Name
Order
Citations
PageRank
Dimas Martínez1955.90
Luiz Velho21162120.74
Paulo Cezar Carvalho3464.17