An efficient solution to the eikonal equation on parametric manifolds
Alon Spira
Technion - Israel Institute of Technology, Haifa, IsraelRon Kimmel
Technion - Israel Institute of Technology, Haifa, Israel
Abstract
We present an efficient solution to the Eikonal equation on parametric manifolds, based on the fast marching approach. This method overcomes the problem of a non-orthogonal coordinate system on the manifold by creating an appropriate numerical stencil. The method is tested numerically and demonstrated by calculating distances on various parametric manifolds. It is further used for two applications: image enhancement and face recognition.
Cite this article
Alon Spira, Ron Kimmel, An efficient solution to the eikonal equation on parametric manifolds. Interfaces Free Bound. 6 (2004), no. 3, pp. 315–327
DOI 10.4171/IFB/102Dates
- Submitted
- 4 June 2003
- Published
- 30 September 2004
Identifiers
Keywords
- Eikonal equation
- parametric manifolds
- image enhancement
- face recognition
Mathematics Subject Classification
- 65-XX
- 35-XX
- 57-XX
- 00-XX