This HTML5 document contains 49 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dctermshttp://purl.org/dc/terms/
n11http://localhost/temp/predkladatel/
n13http://linked.opendata.cz/resource/domain/vavai/riv/tvurce/
n10http://linked.opendata.cz/resource/domain/vavai/projekt/
n16http://linked.opendata.cz/ontology/domain/vavai/
n15http://linked.opendata.cz/resource/domain/vavai/vysledek/RIV%2F00216208%3A11320%2F14%3A10289181%21RIV15-MSM-11320___/
shttp://schema.org/
skoshttp://www.w3.org/2004/02/skos/core#
n3http://linked.opendata.cz/ontology/domain/vavai/riv/
n18http://bibframe.org/vocab/
n2http://linked.opendata.cz/resource/domain/vavai/vysledek/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
n12http://linked.opendata.cz/ontology/domain/vavai/riv/klicoveSlovo/
n19http://linked.opendata.cz/ontology/domain/vavai/riv/duvernostUdaju/
xsdhhttp://www.w3.org/2001/XMLSchema#
n14http://linked.opendata.cz/ontology/domain/vavai/riv/jazykVysledku/
n9http://linked.opendata.cz/ontology/domain/vavai/riv/aktivita/
n6http://linked.opendata.cz/ontology/domain/vavai/riv/druhVysledku/
n5http://linked.opendata.cz/ontology/domain/vavai/riv/obor/
n17http://reference.data.gov.uk/id/gregorian-year/

Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F14%3A10289181%21RIV15-MSM-11320___
rdf:type
n16:Vysledek skos:Concept
dcterms: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.
dcterms:title
C-2 Hermite interpolation by Pythagorean-hodograph quintic triarcs C-2 Hermite interpolation by Pythagorean-hodograph quintic triarcs
skos:prefLabel
C-2 Hermite interpolation by Pythagorean-hodograph quintic triarcs C-2 Hermite interpolation by Pythagorean-hodograph quintic triarcs
skos:notation
RIV/00216208:11320/14:10289181!RIV15-MSM-11320___
n3:aktivita
n9:S n9:P n9:I
n3:aktivity
I, P(ED1.1.00/02.0090), P(TA03011157), S
n3:cisloPeriodika
7
n3:dodaniDat
n17:2015
n3:domaciTvurceVysledku
n13:4296133
n3:druhVysledku
n6:J
n3:duvernostUdaju
n19:S
n3:entitaPredkladatele
n15:predkladatel
n3:idSjednocenehoVysledku
9684
n3:idVysledku
RIV/00216208:11320/14:10289181
n3:jazykVysledku
n14:eng
n3:klicovaSlova
triarcs; PH curves; Hermite interpolation
n3:klicoveSlovo
n12:PH%20curves n12:Hermite%20interpolation n12:triarcs
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[FCBC14B0FF48]
n3:nazevZdroje
Computer Aided Geometric Design
n3:obor
n5:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
9
n3:projekt
n10:ED1.1.00%2F02.0090 n10:TA03011157
n3:rokUplatneniVysledku
n17:2014
n3:svazekPeriodika
31
n3:tvurceVysledku
Šír, Zbyněk Bastl, Bohumír Michálková, Kristýna Bizzarri, Michal Kovač, Boštjan Lávička, Miroslav Ferjančič, Karla Žagar, Emil Krajnc, Marjeta
s:issn
0167-8396
s:numberOfPages
15
n18:doi
10.1016/j.cagd.2014.08.002
n11:organizacniJednotka
11320