Approximation by planar elastic curves

David Brander; Jens Gravesen; Toke Bjerge Nørbjerg

doi:10.1007/s10444-016-9474-z

Approximation by planar elastic curves

David Brander
, Jens Gravesen
, Toke Bjerge Nørbjerg

Research output: Contribution to journal › Journal article › Research › peer-review

1182 Downloads (Orbit)

Abstract

We give an algorithm for approximating a given plane curve segment by a planar elastic curve. The method depends on an analytic representation of the space of elastic curve segments, together with a geometric method for obtaining a good initial guess for the approximating curve. A gradient-driven optimization is then used to find the approximating elastic curve.

Original language	English
Journal	Advances in Computational Mathematics
Number of pages	19
ISSN	1019-7168
DOIs	https://doi.org/10.1007/s10444-016-9474-z
Publication status	Published - 2016

Keywords

Euler elastica
Splines
Approximation

Access to Document

10.1007/s10444-016-9474-z

Art 10Final published version, 608 KB

OpenUrl availability

Check availability in DTU Findit

Cite this

@article{9eda1771b77c4c8fb2670fe5bb470d9f,

title = "Approximation by planar elastic curves",

abstract = "We give an algorithm for approximating a given plane curve segment by a planar elastic curve. The method depends on an analytic representation of the space of elastic curve segments, together with a geometric method for obtaining a good initial guess for the approximating curve. A gradient-driven optimization is then used to find the approximating elastic curve.",

keywords = "Euler elastica, Splines, Approximation",

author = "David Brander and Jens Gravesen and N{\o}rbjerg, \{Toke Bjerge\}",

year = "2016",

doi = "10.1007/s10444-016-9474-z",

language = "English",

journal = "Advances in Computational Mathematics",

issn = "1019-7168",

publisher = "Springer Netherlands",

}

TY - JOUR

T1 - Approximation by planar elastic curves

AU - Brander, David

AU - Gravesen, Jens

AU - Nørbjerg, Toke Bjerge

PY - 2016

Y1 - 2016

N2 - We give an algorithm for approximating a given plane curve segment by a planar elastic curve. The method depends on an analytic representation of the space of elastic curve segments, together with a geometric method for obtaining a good initial guess for the approximating curve. A gradient-driven optimization is then used to find the approximating elastic curve.

AB - We give an algorithm for approximating a given plane curve segment by a planar elastic curve. The method depends on an analytic representation of the space of elastic curve segments, together with a geometric method for obtaining a good initial guess for the approximating curve. A gradient-driven optimization is then used to find the approximating elastic curve.

KW - Euler elastica

KW - Splines

KW - Approximation

U2 - 10.1007/s10444-016-9474-z

DO - 10.1007/s10444-016-9474-z

M3 - Journal article

SN - 1019-7168

JO - Advances in Computational Mathematics

JF - Advances in Computational Mathematics

ER -

Approximation by planar elastic curves

Abstract

Keywords

Access to Document

OpenUrl availability

Fingerprint

Cite this