| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 441279 | Computer Aided Geometric Design | 2010 | 13 Pages |
Abstract
We show that all rational hypocycloids and epicycloids are curves with Pythagorean normals and thus have rational offsets. Then, exploiting the convolution properties and (implicit) support function representation of these curves, we design an efficient algorithm for G1 Hermite interpolation with their arcs. We show that for all regular data, there is a unique interpolating hypocycloidal or epicycloidal arc of the given canonical type.
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Physical Sciences and Engineering
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