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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F10%3A10052010%21RIV11-GA0-11320___
rdf:type
n11:Vysledek skos:Concept
dcterms:description
The Tschirnhausen cubic represents all non-degenerate Pythagorean Hododgraph cubics. We determine its support function and represent it as a convolution of a centrally symmetrical curve and a curve with linear normals. We use the support function to parametrize the Tschirnhausen cubic by normals. This parametrization is then used to an elegant and complete solution of the G(1) Hermite interpolation by Pythagorean Hodograph cubics. We apply the resulting algorithm to various examples and extend it to the interpolation by offsets of PH cubics. The Tschirnhausen cubic represents all non-degenerate Pythagorean Hododgraph cubics. We determine its support function and represent it as a convolution of a centrally symmetrical curve and a curve with linear normals. We use the support function to parametrize the Tschirnhausen cubic by normals. This parametrization is then used to an elegant and complete solution of the G(1) Hermite interpolation by Pythagorean Hodograph cubics. We apply the resulting algorithm to various examples and extend it to the interpolation by offsets of PH cubics.
dcterms:title
Support Function of Pythagorean Hodograph Cubics and G(1) Hermite Interpolation. Support Function of Pythagorean Hodograph Cubics and G(1) Hermite Interpolation.
skos:prefLabel
Support Function of Pythagorean Hodograph Cubics and G(1) Hermite Interpolation. Support Function of Pythagorean Hodograph Cubics and G(1) Hermite Interpolation.
skos:notation
RIV/00216208:11320/10:10052010!RIV11-GA0-11320___
n3:aktivita
n8:Z n8:P
n3:aktivity
P(GA201/08/0486), Z(MSM0021620839)
n3:dodaniDat
n10:2011
n3:domaciTvurceVysledku
n16:8545634 n16:4296133
n3:druhVysledku
n14:D
n3:duvernostUdaju
n22:S
n3:entitaPredkladatele
n18:predkladatel
n3:idSjednocenehoVysledku
291085
n3:idVysledku
RIV/00216208:11320/10:10052010
n3:jazykVysledku
n12:eng
n3:klicovaSlova
Pythagorean Hodograph Cubics; Support Function
n3:klicoveSlovo
n13:Support%20Function n13:Pythagorean%20Hodograph%20Cubics
n3:kontrolniKodProRIV
[0DE7C06FF241]
n3:mistoKonaniAkce
Castro Urdiales, Spain
n3:mistoVydani
BERLIN
n3:nazevZdroje
ADVANCES IN GEOMETRIC MODELING AND PROCESSING, PROCEEDINGS
n3:obor
n9:BA
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n5:GA201%2F08%2F0486
n3:rokUplatneniVysledku
n10:2010
n3:tvurceVysledku
Černohorská, Eva Šír, Zbyněk
n3:typAkce
n21:WRD
n3:wos
000279606600003
n3:zahajeniAkce
2010-06-16+02:00
n3:zamer
n6:MSM0021620839
s:issn
0302-9743
s:numberOfPages
14
n15:hasPublisher
SPRINGER-VERLAG BERLIN
n20:isbn
978-3-642-13410-4
n19:organizacniJednotka
11320