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Evaluating a distance function

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 26 Apr 2024Embargo end date: 01 Nov 2022 Switzerland English Publisher:MathDoc/Centre MersenneJournal:Comptes Rendus. Mécanique, volume 351, pages 5-15 (issn: 1631-0721, eissn: 1873-7234, Copyright policy )
Authors: Abgrall, Remi;

doi: 10.5802/crmeca.155 , 10.48550/arxiv.2211.02319 , 10.5167/uzh-239781

arXiv: 2211.02319

Evaluating a distance function

Abstract

Computing the distance function to some surface or line is a problem that occurs very frequently. There are several ways of computing a relevant approximation of this function, using for example technique originating from the approximation of Hamilton Jacobi problems, or the fast sweeping method. Here we make a link with some elliptic problem and propose a very fast way to approximate the distance function.

Country
Switzerland
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Keywords

Hopf-Cole transformation, distance function, Numerical Analysis (math.NA), linear solver, 2500 General Materials Science, elliptic problem, 10123 Institute of Mathematics, 2211 Mechanics of Materials, Hopf, 510 Mathematics, Mechanics of Materials, TA401-492, FOS: Mathematics, General Materials Science, Cole transformation, Mathematics - Numerical Analysis, Hamilton jacobi equation, Materials of engineering and construction. Mechanics of materials

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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gold