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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

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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.
Journal cover image

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