Title of article :
Non-existence of rational arc length parameterizations for curves in
Author/Authors :
Takis Sakkalis، نويسنده , , Takis and Farouki، نويسنده , , Rida T. and Vaserstein، نويسنده , , Leonid، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2009
Abstract :
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.
Keywords :
Arc length , Pythagorean equation , Natural parameterization , Integration of rational functions , Residues , Rational curves
Journal title :
Journal of Computational and Applied Mathematics
Journal title :
Journal of Computational and Applied Mathematics
