Real rational curves are not 'unit speed'

  title={Real rational curves are not 'unit speed'},
  author={Rida T. Farouki and Takis Sakkalis},
  journal={Computer Aided Geometric Design},
Algebraic and differential geometers take disparate views on the problem of curve parameterizations. The latter are mostly unconcerned-apart from certain differentiability conditions-with the explicit functional form of such parameterizations, being preoccupied rather with the ‘arc-length’ or ‘unit-speed’ representation [Kreyszig ‘591, whereas the former focus on identifying conditions under which parameterizations by particularly simple (rational) functions are admissible, paying scant… CONTINUE READING