Accession Number : ADA261057


Title :   Elastic Curves on the Sphere


Descriptive Note : Technical rept., Sep-Nov 1992


Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA


Personal Author(s) : Brunnett, Guido ; Crouch, Peter E


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a261057.pdf


Report Date : 16 Dec 1992


Pagination or Media Count : 22


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.... Elastic curves, Geometrically constraint differential equations.


Descriptors :   *SPHERES , *CURVES(GEOMETRY) , *CUBIC SPLINE TECHNIQUE , COMPUTATIONS , DIFFERENTIAL EQUATIONS , SPLINES(GEOMETRY) , ELASTIC PROPERTIES


Subject Categories : Numerical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE