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
Pages
4
From page
494
To page
497
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
Serial Year
2009
Journal title
Journal of Computational and Applied Mathematics
Record number
1555020
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