Name
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 G^1 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. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.cagd.2010.02.001 | Computer Aided Geometric Design |
Keywords | Field | DocType |
rational offset,pythagorean normal,support function representation,rational hypocycloids,epicycloids,rational offsets,canonical type,pythagorean hodograph curves,efficient algorithm,regular data,convolution property,epicycloidal arc,support function,hypocycloids,hermite interpolation | Mathematical optimization,Support function,Convolution,Interpolation,Roulette,Pythagorean theorem,Hermite interpolation,Mathematics | Journal |
Volume | Issue | ISSN |
27 | 5 | Computer Aided Geometric Design |
Citations | PageRank | References |
14 | 0.68 | 18 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zbyněk Šír | 1 | 29 | 1.72 |
| Bohumír Bastl | 2 | 136 | 10.49 |
| Miroslav LáVičKa | 3 | 158 | 11.36 |