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Calhoun, Institutional Archive of the Naval Postgraduate School
External research report . 1992
Data sources: Calhoun, Institutional Archive of the Naval Postgraduate School
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Elastic curves on the sphere

descriptionPublicationkeyboard_double_arrow_right External research report 16 Dec 1992Publisher:Monterey, CA; Naval Postgraduate School
Authors: Crouch, Peter E.; Brunnett, Guido;

Elastic curves on the sphere

Abstract

This paper deals with the derivation of equations suitable for the computation of elastic curves on the sphere. To this end equations for the main invariants of spherical elastic curves are given. A new method for solving geometrically constraint Differential equations is used to compute the curves for given initial values. A classification of the fundamental forms of the curves is presented. Approved for public release; distribution is unlimited. http://archive.org/details/elasticcurvesons00brun

Keywords

Elastic curves, Geometrically constraint differential equations

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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!
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