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

Povzetek

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

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

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UP - Univerza na Primorskem
UDK: 519.651
COBISS: 1537829572 Povezava se bo odprla v novem oknu
ISSN: 0096-3003
Št. ogledov: 0
Št. prenosov: 0
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Sekundarni jezik: Slovenski jezik
Sekundarne ključne besede: konstrukcija gibanj togih teles;racionalna gibanja;geometrijska interpolacija;geometrijska zveznost;
Vrsta dela (COBISS): Delo ni kategorizirano
Strani: str. 127-138
Letnik: Vol. 272
Zvezek: part 1
Čas izdaje: 2016
DOI: 10.1016/j.amc.2015.08.073
ID: 9058100