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Title:Construction of G[sup]3 rational motion of degree eight
Authors:ID Ferjančič, Karla (Author)
ID Knez, Marjetka (Author)
ID Vitrih, Vito (Author)
Files:URL http://www.sciencedirect.com/science/article/pii/S0096300315011297
 
Language:English
Work type:Not categorized
Typology: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
Numbering:Vol.
PID:20.500.12556/RUP-7157 This link opens in a new window
ISSN:0096-3003
UDC:519.651
DOI:10.1016/j.amc.2015.08.073 This link opens in a new window
COBISS.SI-ID:1537829572 This link opens in a new window
Publication date in RUP:15.10.2015
Views:2817
Downloads:124
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Secondary language

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


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