
Shortening three-dimensional curves via two-dimensional flows
Publication
, Journal Article
Kimmel, R; Sapiro, G
Published in: Computers and Mathematics with Applications
January 1, 1995
In this paper, a curve evolution approach for the computation of geodesic curves on 3D surfaces is presented. The algorithm is based on deforming, via the curve shortening flow, an arbitrary initial curve ending at two given surface points. The 3D curve shortening flow is first transformed into an equivalent 2D one. This 2D flow is implemented, using an efficient numerical algorithm for curve evolution with fixed end points. © 1995.
Duke Scholars
Published In
Computers and Mathematics with Applications
DOI
ISSN
0898-1221
Publication Date
January 1, 1995
Volume
29
Issue
3
Start / End Page
49 / 62
Related Subject Headings
- Numerical & Computational Mathematics
- 49 Mathematical sciences
- 46 Information and computing sciences
- 35 Commerce, management, tourism and services
- 15 Commerce, Management, Tourism and Services
- 08 Information and Computing Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Kimmel, R., & Sapiro, G. (1995). Shortening three-dimensional curves via two-dimensional flows. Computers and Mathematics with Applications, 29(3), 49–62. https://doi.org/10.1016/0898-1221(94)00228-D
Kimmel, R., and G. Sapiro. “Shortening three-dimensional curves via two-dimensional flows.” Computers and Mathematics with Applications 29, no. 3 (January 1, 1995): 49–62. https://doi.org/10.1016/0898-1221(94)00228-D.
Kimmel R, Sapiro G. Shortening three-dimensional curves via two-dimensional flows. Computers and Mathematics with Applications. 1995 Jan 1;29(3):49–62.
Kimmel, R., and G. Sapiro. “Shortening three-dimensional curves via two-dimensional flows.” Computers and Mathematics with Applications, vol. 29, no. 3, Jan. 1995, pp. 49–62. Scopus, doi:10.1016/0898-1221(94)00228-D.
Kimmel R, Sapiro G. Shortening three-dimensional curves via two-dimensional flows. Computers and Mathematics with Applications. 1995 Jan 1;29(3):49–62.

Published In
Computers and Mathematics with Applications
DOI
ISSN
0898-1221
Publication Date
January 1, 1995
Volume
29
Issue
3
Start / End Page
49 / 62
Related Subject Headings
- Numerical & Computational Mathematics
- 49 Mathematical sciences
- 46 Information and computing sciences
- 35 Commerce, management, tourism and services
- 15 Commerce, Management, Tourism and Services
- 08 Information and Computing Sciences
- 01 Mathematical Sciences