Curvature continuous Hermite interpolation scheme with rational PH curves
Result 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.
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The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
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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Classification
Type
O - Miscellaneous
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Result type
O - Miscellaneous
CEP
BA - General mathematics
Year of implementation
2010