About: C-2 Hermite interpolation by Pythagorean-hodograph quintic triarcs

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In this paper, the problem of C2 Hermite interpolation by triarcs composed of Pythagorean-hodograph (PH) quintics is considered. The main idea is to join three arcs of PH quintics at two unknown points - the first curve interpolates given C2 Hermite data at one side, the third one interpolates the same type of given data at the other side and the middle arc is joined together with C2 continuity to the first and the third arc. For any set of C2 planar boundary data (two points with associated first and second derivatives) we construct four possible interpolants. The best possible approximation order is 4. Analogously, for a set of C2 spatial boundary data we find a six-dimensional family of interpolating quintic PH triarcs. The results are confirmed by several examples. In this paper, the problem of C2 Hermite interpolation by triarcs composed of Pythagorean-hodograph (PH) quintics is considered. The main idea is to join three arcs of PH quintics at two unknown points - the first curve interpolates given C2 Hermite data at one side, the third one interpolates the same type of given data at the other side and the middle arc is joined together with C2 continuity to the first and the third arc. For any set of C2 planar boundary data (two points with associated first and second derivatives) we construct four possible interpolants. The best possible approximation order is 4. Analogously, for a set of C2 spatial boundary data we find a six-dimensional family of interpolating quintic PH triarcs. The results are confirmed by several examples. (en)
Title	C-2 Hermite interpolation by Pythagorean-hodograph quintic triarcs C-2 Hermite interpolation by Pythagorean-hodograph quintic triarcs (en)
skos:prefLabel	C-2 Hermite interpolation by Pythagorean-hodograph quintic triarcs C-2 Hermite interpolation by Pythagorean-hodograph quintic triarcs (en)
skos:notation	RIV/00216208:11320/14:10289181!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita	I P S
http://linked.open...avai/riv/aktivity	I, P(ED1.1.00/02.0090), P(TA03011157), S
http://linked.open...iv/cisloPeriodika	7
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Šír, Zbyněk
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	9684
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/14:10289181
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	triarcs; PH curves; Hermite interpolation (en)
http://linked.open.../riv/klicoveSlovo	PH curves Hermite interpolation triarcs
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[FCBC14B0FF48]
http://linked.open...i/riv/nazevZdroje	Computer Aided Geometric Design
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	9 (xsd:int)
http://linked.open...vavai/riv/projekt	Innovative techniques for improving utility qualities of water turbines with the help of shape optimization based on modern methods of geometric modeling NTIS - New Technologies for Information Society
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	31
http://linked.open...iv/tvurceVysledku	Bastl, Bohumír Bizzarri, Michal Lávička, Miroslav Šír, Zbyněk Michálková, Kristýna Ferjančič, Karla Kovač, Boštjan Krajnc, Marjeta Žagar, Emil
issn	0167-8396
number of pages	15 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.cagd.2014.08.002
http://localhost/t...ganizacniJednotka	11320

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