Raziskovalni matematični seminar
Raziskovalni matematični seminar poteka v organizaciji oddelkov za matematiko dveh članic Univerze na Primorskem - UP FAMNIT in Inštituta Andrej Marušič (UP IAM), in sicer vsak ponedeljek od oktobra do junija.
Vljudno vabljeni k udeležbi na prihodnjih seminarjih!
In this talk we present a construction of a rigid body motion with point trajectories being rational spline curves of degree eight joining together with G^3 smoothness, which means that also the torsion is continuous.
The motion is determined through the interpolation of positions and derivative data up to order three in the geometric sense. Nonlinearity involved in a spherical part of construction results in a single univariate quartic equation which yields solutions in a closed form. We give some sufficient conditions on the regions for the curvature data, implying the existence of a real admissible solution. The algorithm how to choose appropriate data is presented too. The theoretical results are substantiated with numerical examples.
These results are joint work with Marjeta Krajnc and Vito Vitrih.
