Elastic curves on the sphere
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Authors
Crouch, Peter E.
Brunnett, Guido
Subjects
Elastic curves
Geometrically constraint differential equations
Geometrically constraint differential equations
Advisors
Date of Issue
1993
Date
1993
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
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.
Type
Technical Report
Description
Series/Report No
Department
Mathematics
Identifiers
NPS Report Number
NPS-MA-93-010
Sponsors
Funder
Format
18 p.: ill. ; 28 cm.
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.