SMOOTH CURVES APPROXIMATION BY CHORD-LENGTH CURVES

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F12%3A43918197" target="_blank" >RIV/49777513:23520/12:43918197 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

SMOOTH CURVES APPROXIMATION BY CHORD-LENGTH CURVES

Popis výsledku v původním jazyce

This paper is devoted to one practical application of planar rational curves with chord length parameterization (shortly RCL curves). Rational curves with chord length parameterizations are a chord-length analogy to the socalled Pythagorean-hodograph curves characterized by closed form formulas for their arc-lengths. They represent a new representation of objects in CAGD which can be used for formulating alternative modelling techniques. Using the universal formula for planar RCL curves, we design a simple G1 Hermite interpolation algorithm based on solving a small system of linear equations. In particular, we show how to approximate a general planar curve using arcs of RCL curves. The efficiency of the designed method is presented on two particular examples.

Název v anglickém jazyce

SMOOTH CURVES APPROXIMATION BY CHORD-LENGTH CURVES

Popis výsledku anglicky

This paper is devoted to one practical application of planar rational curves with chord length parameterization (shortly RCL curves). Rational curves with chord length parameterizations are a chord-length analogy to the socalled Pythagorean-hodograph curves characterized by closed form formulas for their arc-lengths. They represent a new representation of objects in CAGD which can be used for formulating alternative modelling techniques. Using the universal formula for planar RCL curves, we design a simple G1 Hermite interpolation algorithm based on solving a small system of linear equations. In particular, we show how to approximate a general planar curve using arcs of RCL curves. The efficiency of the designed method is presented on two particular examples.

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

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název periodika

Aplimat - Journal of Applied Mathematics

ISSN

1337-6365

e-ISSN

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Svazek periodika

5

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

SK - Slovenská republika

Počet stran výsledku

10

Strana od-do

57-66

Kód UT WoS článku

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EID výsledku v databázi Scopus

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