SHORTENING 3-DIMENSIONAL CURVES VIA 2-DIMENSIONAL FLOWS

Authors
KIMMEL R SAPIRO G
Citation
R. Kimmel et G. Sapiro, SHORTENING 3-DIMENSIONAL CURVES VIA 2-DIMENSIONAL FLOWS, Computers & mathematics with applications, 29(3), 1995, pp. 49-62
Citations number
26
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
29
Issue
3
Year of publication
1995
Pages
49 - 62
Database
ISI
SICI code
0898-1221(1995)29:3<49:S3CV2F>2.0.ZU;2-C
Abstract
In this paper, a curve evolution approach for the computation of geode sic curves on 3D surfaces is presented. The algorithm is based on defo rming, via the curve shortening flow, an arbitrary initial curve endin g at two given surface points. The 3D curve shortening flow is first t ransformed into an equivalent 2D one. This 2D flow is implemented, usi ng an efficient numerical algorithm for curve evolution with fixed end points.