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Curvature continuous Hermite interpolation scheme with rational PH curves

Citace: [] BASTL, B. Curvature continuous Hermite interpolation scheme with rational PH curves. Praha, 2010., ISBN: 978-80-7378-136-1,
Druh: Zaniklé typy
Jazyk publikace: eng
Anglický název: Curvature continuous Hermite interpolation scheme with rational PH curves
Rok vydání: 2010
Místo konání: Praha
Název zdroje: MATFYZPRESS
Autoři: Ing. Bohumír Bastl Ph.D.
Abstrakt EN: 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.
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