Karla Ferjančič (Author), Marjetka Krajnc (Author), Vito Vitrih (Author)

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

konstrukcija gibanj togih teles;racionalna gibanja;geometrijska interpolacija;geometrijska zveznost;motion design;geometric interpolation;rational spline motion;geometric continuity;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UP - University of Primorska
UDC: 519.651
COBISS: 1537829572 Link will open in a new window
ISSN: 0096-3003
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Other data

Secondary language: Slovenian
Secondary keywords: konstrukcija gibanj togih teles;racionalna gibanja;geometrijska interpolacija;geometrijska zveznost;
Type (COBISS): Not categorized
Pages: str. 127-138
Volume: Vol. 272
Issue: part 1
Chronology: 2016
DOI: 10.1016/j.amc.2015.08.073
ID: 9058100