Curvature continuous Hermite interpolation scheme with rational PH curves

Result code in 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>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Curvature continuous Hermite interpolation scheme with rational PH curves

Original language description

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.

Czech name

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Czech description

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Type

O - Miscellaneous

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

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