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Construction of ▫$G^3$▫ rational motion of degree eightFerjančič, Karla ; Knez, Marjetka, 1978- ; Vitrih, Vito, 1981-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.Source: Applied mathematics and computation. - ISSN 0096-3003 (Vol. 272, part 1, 2016, str. 127-138)Type of material - article, component part ; adult, seriousPublish date - 2016Language - englishCOBISS.SI-ID - 1537829572
source: Applied mathematics and computation. - ISSN 0096-3003 (Vol. 272, part 1, 2016, str. 127-138)
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Ferjančič, Karla | 34384 |
Knez, Marjetka, 1978- | 23467 |
Vitrih, Vito, 1981- | 27559 |
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