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Title:Construction of G[sup]3 rational motion of degree eight
Authors:Krajnc, Marjetka (Author)
Vitrih, Vito (Author)
Ferjančič, Karla (Author)
Work type:Not categorized
Tipology:1.01 - Original Scientific Article
Organization:IAM - Andrej Marušič Institute
Abstract: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.
Keywords:motion design, geometric interpolation, rational spline motion, geometric continuity
Year of publishing:2015
Number of pages:str. 1-12
COBISS_ID:1537829572 Link is opened in a new window
DOI:10.1016/j.amc.2015.08.073 Link is opened in a new window
Categories:Document is not linked to any category.
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Keywords:konstrukcija gibanj togih teles, racionalna gibanja, geometrijska interpolacija, geometrijska zveznost


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