Rida T. Farouki, Takis Sakkalis
Advances in Computational Mathematics
Paper
Real rational curves are not 'unit speed'
Abstract
We prove that it is impossible to parameterize any real plane curve, other than a straight line, by rational functions of its arc length. The proof extends in a straightforward manner to real space curves of any dimension d ≥ 3. © 1991.
Related
Rida T. Farouki, John K. Johnstone
Computer Aided Geometric Design
Rida T. Farouki, Takis Sakkalis
Advances in Computational Mathematics
Rida T. Farouki
Computer Aided Geometric Design