Elastic Curves on the Sphere
Technical rept., Sep-Nov 1992
NAVAL POSTGRADUATE SCHOOL MONTEREY CA
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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.... Elastic curves, Geometrically constraint differential equations.
- Numerical Mathematics