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Title: Construction of G[sup]3 rational motion of degree eight Krajnc, Marjetka (Author)Vitrih, Vito (Author)Ferjančič, Karla (Author) http://www.sciencedirect.com/science/article/pii/S0096300315011297 English Not categorized 1.01 - Original Scientific Article IAM - Andrej Marušič Institute 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. motion design, geometric interpolation, rational spline motion, geometric continuity 2015 str. 1-12 Vol. 0096-3003 519.651 1537829572 10.1016/j.amc.2015.08.073 1014 67 Document is not linked to any category.

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## Secondary language

Language: English konstrukcija gibanj togih teles, racionalna gibanja, geometrijska interpolacija, geometrijska zveznost