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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10288887" target="_blank" >RIV/00216208:11320/14:10288887 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/49777513:23520/14:43920511

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.cam.2013.08.007" target="_blank" >http://dx.doi.org/10.1016/j.cam.2013.08.007</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cam.2013.08.007" target="_blank" >10.1016/j.cam.2013.08.007</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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 remainingone 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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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 remainingone 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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/ED1.1.00%2F02.0090" target="_blank" >ED1.1.00/02.0090: NTIS - Nové technologie pro informační společnost</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Computational and Applied Mathematics

ISSN

0377-0427

e-ISSN

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Svazek periodika

2014

Číslo periodika v rámci svazku

257

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

14

Strana od-do

65-78

Kód UT WoS článku

000326315900006

EID výsledku v databázi Scopus

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