✦ LIBER ✦
Non-existence of rational arc length parameterizations for curves in
✍ Scribed by Takis Sakkalis; Rida T. Farouki; Leonid Vaserstein
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 353 KB
- Volume
- 228
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
✦ Synopsis
We show, as a generalization of prior results for R 2 and R 3 , that for all n ≥ 2 the only curves in R n with rational arc length parameterizations are straight lines.