Curvature continuous Hermite interpolation scheme with rational PH curves

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F10%3A00503707" target="_blank" >RIV/49777513:23520/10:00503707 - isvavai.cz</a>
Výsledek na webu
—
DOI - Digital Object Identifier
—

Jazyk výsledku
angličtina
Název v původním jazyce
Curvature continuous Hermite interpolation scheme with rational PH curves
Popis výsledku v původním jazyce
Recently, Šír et al. in [1] proved that all algebraic epi- and hypocycloids are rational curves with rational offsets, i.e., they belong to the class of rational PH curves. Following this result, it can be also proved that the convolution of any two rational epi- and hypocycloids is a rational PH curve. In this paper, we use this result to formulate an algorithm for curvature continuous Hermite interpolation with convolutions of rational epi- and hypocycloids. The proposed algorithm is demonstrated on several examples.
Název v anglickém jazyce
Curvature continuous Hermite interpolation scheme with rational PH curves
Popis výsledku anglicky
Recently, Šír et al. in [1] proved that all algebraic epi- and hypocycloids are rational curves with rational offsets, i.e., they belong to the class of rational PH curves. Following this result, it can be also proved that the convolution of any two rational epi- and hypocycloids is a rational PH curve. In this paper, we use this result to formulate an algorithm for curvature continuous Hermite interpolation with convolutions of rational epi- and hypocycloids. The proposed algorithm is demonstrated on several examples.

Rok uplatnění
2010
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Podobné výsledky(10)