An efficient solution to the eikonal equation on parametric manifolds
type: Item
instance of: scholarly article
title: An efficient solution to the eikonal equation on parametric manifolds
zbMATH Open document ID: 1054.65098
DOI: 10.4171/IFB/102
author: Alon Spira
author: Ron Kimmel
published in: Interfaces and Free Boundaries
publication date: 2004-11-01T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35F25
Mathematics Subject Classification ID: 94A08
zbMATH DE Number: 2113537
zbMATH Keywords: fast marching method
zbMATH Keywords: numerical examples
zbMATH Keywords: initial value problem
zbMATH Keywords: viscosity solution
zbMATH Keywords: eikonal equation
zbMATH Keywords: parametric manifolds
zbMATH Keywords: image enhancement
zbMATH Keywords: face recognition
MaRDI profile type: Publication
Wikidata QID: Q126075776
full work available at URL: https://doi.org/10.4171/ifb/102
OpenAlex ID: W1984697939
description: scientific article; zbMATH DE number 2113537