About: C-1 Hermite interpolation with spatial Pythagorean-hodograph cubic biarcs

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In this paper the C1 Hermite interpolation problem by spatial Pythagorean-hodograph cubic biarcs is presented and a general algorithm to construct such interpolants is described. Each PH cubic segment interpolates C1 data at one point and they are then joined together with a C1 continuity at some unknown common point sharing some unknown tangent vector. Biarcs are expressed in a closed form with three shape parameters. Two of them are selected based on asymptotic approximation order, while the remaining one can be computed by minimizing the length of the biarc or by minimizing the elastic bending energy. The final interpolating spline curve is globally C1 continuous, it can be constructed locally and it exists for arbitrary Hermite data configurations. In this paper the C1 Hermite interpolation problem by spatial Pythagorean-hodograph cubic biarcs is presented and a general algorithm to construct such interpolants is described. Each PH cubic segment interpolates C1 data at one point and they are then joined together with a C1 continuity at some unknown common point sharing some unknown tangent vector. Biarcs are expressed in a closed form with three shape parameters. Two of them are selected based on asymptotic approximation order, while the remaining one can be computed by minimizing the length of the biarc or by minimizing the elastic bending energy. The final interpolating spline curve is globally C1 continuous, it can be constructed locally and it exists for arbitrary Hermite data configurations. (en)
Title	C-1 Hermite interpolation with spatial Pythagorean-hodograph cubic biarcs C-1 Hermite interpolation with spatial Pythagorean-hodograph cubic biarcs (en)
skos:prefLabel	C-1 Hermite interpolation with spatial Pythagorean-hodograph cubic biarcs C-1 Hermite interpolation with spatial Pythagorean-hodograph cubic biarcs (en)
skos:notation	RIV/00216208:11320/14:10288887!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), S
http://linked.open...iv/cisloPeriodika	257
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	9683
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/14:10288887
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	biarcs; spatial Pythagorean-hodograph; interpolation; Hermite; C-1 (en)
http://linked.open.../riv/klicoveSlovo	Hermite interpolation C-1 biarcs spatial Pythagorean-hodograph
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[11174115BDC1]
http://linked.open...i/riv/nazevZdroje	Journal of Computational and Applied Mathematics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	8 (xsd:int)
http://linked.open...vavai/riv/projekt	NTIS - New Technologies for Information Society
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	2014
http://linked.open...iv/tvurceVysledku	Bastl, Bohumír Bizzarri, Michal Lávička, Miroslav Šír, Zbyněk Slabá, Kristýna Krajnc, Marjeta Vitrih, Vito Zagar, Emil
http://linked.open...ain/vavai/riv/wos	000326315900006
issn	0377-0427
number of pages	14 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.cam.2013.08.007
http://localhost/t...ganizacniJednotka	11320

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