Results 241 to 250 of about 1,166,599 (282)

Elastic curves on the sphere

Advances in Computational Mathematics, 1994
When elastic curves on the sphere are treated by standard Runge-Kutta methods, some invariants are no more invariants. The authors modify the equations and apply an appropriate integration method. A classification of the fundamental forms of the curves is presented which refers to Jacobi's elliptic functions.
Guido Brunnett, Peter E. Crouch
exaly   +3 more sources

Planning rigid body motions using elastic curves [PDF]

open access: yesMathematics of Control, Signals, and Systems, 2008
This paper tackles the problem of computing smooth, optimal trajectories on the Euclidean group of motions SE(3). The problem is formulated as an optimal control problem where the cost function to be minimized is equal to the integral of the classical ...
William Holderbaum, James Biggs
exaly   +5 more sources

Elastic Curves on the Sphere [PDF]

open access: yes, 1992
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.
Peter E. Crouch, Guido Brunnett
core   +4 more sources

Elastic magnetic curves of ferromagnetic and superparamagnetic models

open access: yesMathematical Methods in the Applied Sciences, 2021
Demirkol, Ridvan Cem/0000-0002-3459-1676We are interested in defining new energy functionals and solving them by using the variational approach method and Darboux equations. That is, we aim to define a new class of elastic curves on the regular surface ?.
Zeliha Körpinar   +2 more
exaly   +2 more sources

On Shape of Plane Elastic Curves

International Journal of Computer Vision, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Washington Mio   +2 more
openaire   +1 more source

TRANSFORMATIONS OF A SPACE CURVE AND APPLICATIONS TO ELASTIC CURVES

JP Journal of Geometry and Topology, 2018
Summary: Mannheim curves and the constant-pitch curves are two specific classes of space curves that are identified by a relation between their curvature and torsion functions. We detail the construction of these two types of curves from any given arbitrary regular space curve in \(\mathbb{R}^2\) by means of the so-called Combescure transformation ...
Bhat, Vishesh S., Hari Baskar, R.
openaire   +2 more sources

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