Construction of Minkowski Pythagorean hodograph B-spline curves

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F20%3A43958743" target="_blank" >RIV/49777513:23520/20:43958743 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0167839620300650" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0167839620300650</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cagd.2020.101878" target="_blank" >10.1016/j.cagd.2020.101878</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Construction of Minkowski Pythagorean hodograph B-spline curves

Popis výsledku v původním jazyce

Following and extending the recent results of Albrecht et all. (2017) for planar Pythagorean hodograph (PH) B-spline curves to the Minkowski 3-space, we introduce a class of Minkowski Pythagorean hodograph (MPH) B-spline curves. The distinguished property of these curves is that the Minkowski norm of their hodograph is a B-spline function. We focus mainly on the clamped case and using Clifford algebra representation we present formulas for their construction. The closed case is also mentioned. Then we solve two practical problems -- construction of MPH B-spline curves with control polygon close to a given control polygon, and construction of MPH B-spline curves going through given points. We emphasize symbolic solutions wherever it is possible. The results and approaches are illustrated on several examples.

Název v anglickém jazyce

Construction of Minkowski Pythagorean hodograph B-spline curves

Popis výsledku anglicky

Following and extending the recent results of Albrecht et all. (2017) for planar Pythagorean hodograph (PH) B-spline curves to the Minkowski 3-space, we introduce a class of Minkowski Pythagorean hodograph (MPH) B-spline curves. The distinguished property of these curves is that the Minkowski norm of their hodograph is a B-spline function. We focus mainly on the clamped case and using Clifford algebra representation we present formulas for their construction. The closed case is also mentioned. Then we solve two practical problems -- construction of MPH B-spline curves with control polygon close to a given control polygon, and construction of MPH B-spline curves going through given points. We emphasize symbolic solutions wherever it is possible. The results and approaches are illustrated on several examples.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/LO1506" target="_blank" >LO1506: Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

Computer Aided Geometric Design

ISSN

0167-8396

e-ISSN

—

Svazek periodika

80

Číslo periodika v rámci svazku

June 2020

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

21

Strana od-do

101878

Kód UT WoS článku

000537812800016

EID výsledku v databázi Scopus

2-s2.0-85084482036