Ključne besede: motion design, interpolation, rational spline motion, ▫$C^2$▫ continuityObjavljeno v RUP: 18.01.2021; Ogledov: 606; Prenosov: 31 Povezava na polno besedilo
Objavljeno v RUP: 03.07.2020; Ogledov: 995; Prenosov: 40 Povezava na polno besedilo
Ključne besede: numerično računanje, reševanje sistemov linearnih in nelinearnih enačb, interpolacija, numerično odvajanje in integriranje, Bezierove krivuljeObjavljeno v RUP: 03.07.2020; Ogledov: 1175; Prenosov: 37 Povezava na polno besedilo
Opis: The paper presents a construction of a rigid body motion with point trajectories being rational spline curves of degree eight joining together with ▫$G^3$▫ smoothness. The motion is determined through interpolation of positions and derivative data up to order three in the geometric sense. Nonlinearity in the spherical part of construction results in a single univariate quartic equation which yields solutions in a closed form. Sufficient conditions on the regions for the curvature data are derived, implying the existence of a real admissible solution. The algorithm how to choose appropriate data is proposed too. The theoretical results are substantiated with numerical examples.Ključne besede: motion design, geometric interpolation, rational spline motion, geometric continuityObjavljeno v RUP: 15.10.2015; Ogledov: 2229; Prenosov: 120 Povezava na polno besedilo
