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Arc length preserving ▫$G^2$▫ Hermite interpolation of circular arcsŽagar, Emil, 1969-V članku obravnavamo problem interpolacije dveh točk, dveh smeri tangent in ločne dolžine, ki so podani preko krožnega loka. Uporabimo ravninske polinomske krivulje s pitagorejskim hodografom (PH ... krivulje) stopnje sedem. Imajo dovolj visoko stopnjo za reševanje takega problema, obenem pa z njimi enostavno interpoliramo ločno dolžino. Najprej predstavimo splošni pristop preko kompleksne reprezentacije, nato pa utemeljimo močno odvisnost rešitev od podatkov. Za primer podatkov, ki prihajajo s krožnega loka, zapleteni sistem nelinearnih enačb reduciramo na algebraično enačbo stopnje šest ter podamo podrobno analizo rešljivosti in obstoja sprejemljivih rešitev. V primeru obstoja več rešitev podamo nekaj kriterijev za izbiro najprimernejše. Na koncu z numeričnimi primeri potrdimo teoretične rezultate.Source: Journal of computational and applied mathematics. - ISSN 0377-0427 (Vol. 424, May 2023, art. 115008 (12 str.))Type of material - article, component part ; adult, seriousPublish date - 2023Language - englishCOBISS.SI-ID - 134609923
Author | Žagar, Emil, 1969- |
Title | Arc length preserving ▫$G^2$▫ Hermite interpolation of circular arcs |
Publication date | 2022-12-10 |
COBISS.SI-ID | 134609923 |
Publication version in repository | Publisher's version |
Publication licence | Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International |
Embargo | Immediate publication for public |
Project(s) from which the publication was funded
Title | Acronym | Project ID | Funder |
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Algebra in njena uporaba | P1-0288-2022 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Analiza, geometrija in parcialne diferencialne enačbe | J1-9104-2018 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Nelinearni Valovi in Spektralna Teorija | N1-0137-2020 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Kompleksna in geometrijska analiza | J1-3005-2021 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
Files that belong to the publication
Link |
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https://www.sciencedirect.com/science/article/pii/S0377042722006069 |
https://dirros.openscience.si/IzpisGradiva.php?id=18487 |
https://repozitorij.uni-lj.si/IzpisGradiva.php?id=143842 |
source: Journal of computational and applied mathematics. - ISSN 0377-0427 (Vol. 424, May 2023, art. 115008 (12 str.))
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Žagar, Emil, 1969- | 19886 |
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