Hermite interpolation by hypocycloids and epicycloids with rational offsets (Q631036)
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scientific article; zbMATH DE number 5869118
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hermite interpolation by hypocycloids and epicycloids with rational offsets |
scientific article; zbMATH DE number 5869118 |
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Hermite interpolation by hypocycloids and epicycloids with rational offsets (English)
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22 March 2011
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The authors show that all rational hypo- and epicycloids have Pythagorean normals and therefore also have rational offsets. Based on this observation, an efficient algorithm for \(G^1\) Hermite interpolation with their arcs is constructed. For all regular data, there is a unique hypo- or epicycloidal arc of the given canonical type.
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hypocycloids
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epicycloids
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Pythagorean hodograph curves
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rational offsets
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support function
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Hermite interpolation
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algorithm
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0.89663893
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