Non-existence of rational arc length parameterizations for curves in \(\mathbb R^n\)

DOI10.1016/j.cam.2008.09.022zbMath1166.53002OpenAlexW1971359441MaRDI QIDQ1019822

Takis Sakkalis, Rida T. Farouki, L.N.Vaserstein and E.R.Wheland

Publication date: 28 May 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.09.022

zbMATH Keywords

rational curvesarc lengthresiduesPythagorean equationintegration of rational functionsnatural parameterization

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

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Cites Work

• Rational space curves are not ``unit speed
• Pythagorean-hodograph curves. Algebra and geometry inseparable
• Real rational curves are not `unit speed'
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