Title
Subdivision Curves on Surfaces and Applications
Abstract
Subdivision curves have great importance for many CAD/CAM applications.. In this paper we propose a simple method to define subdivision schemes on triangulations. It works by translating to the triangulation a perturbation of a planar binary subdivision. To reproduce this perturbation in the surface we use both, shortest and straightest geodesics, so we call this strategy intrinsic projection method.It can reproduce any binary subdivision scheme, regardless whether it is linear or not.
Year
DOI
Venue
2008
10.1007/978-3-540-85920-8_50
CIARP
Keywords
Field
DocType
cam application,subdivision curves,simple method,straightest geodesic,planar binary subdivision,subdivision curve,strategy intrinsic projection method,subdivision scheme,great importance,binary subdivision scheme,projection method
Triangulation (geometry),Topology,Computer science,Subdivision,Finite subdivision rule,Subdivision surface,Planar,Triangulation (social science),Geodesic,Binary number
Conference
Volume
ISSN
Citations 
5197
0302-9743
3
PageRank 
References 
Authors
0.42
11
3
Name
Order
Citations
PageRank
Dimas Martínez Morera1142.76
Luiz Velho21162120.74
Paulo Cezar Carvalho3464.17