Thomas W. Sederberg, Rida T. Farouki
IEEE Computer Graphics and Applications
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
Takis Sakkalis
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Rida T. Farouki, John K. Johnstone
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Rida T. Farouki
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