Name
Abstract | ||
|---|---|---|
•Methods to construct rational curves with rational arc lengths by direct integration are developed.•A comprehensive analysis of the case of rational curves with simple points at infinity is presented.•The method directly generates low-degree curves in cases where alternative methods require symbolic factorizations.•The method is illustrated with a selection of representative computed examples. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.cagd.2019.101773 | Computer Aided Geometric Design |
Keywords | Field | DocType |
Rational curves,Arc length function,Pythagorean-hodograph curves,Points at infinity,Rational function integration,Residues | Homogeneous coordinates,Topology,Of the form,Polynomial,Direct integration of a beam,Pure mathematics,Arc length,Symbolic factorization,Monic polynomial,Hodograph,Mathematics | Journal |
Volume | ISSN | Citations |
74 | 0167-8396 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Rida T. Farouki | 1 | 1396 | 137.40 |
| Takis Sakkalis | 2 | 347 | 34.52 |