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MathGroup Archive 1992

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Re: curve fitting

  • To: mathgroup at yoda.physics.unc.edu
  • Subject: Re: curve fitting
  • From: robb at hydra.maths.unsw.edu.au
  • Date: Tue, 6 Oct 92 08:38:41 +1000

Dear Ivan,

there are simple formulae for the curvature and torsion of a curve --
look up the Frenet-Serret formulae in any introductory book on 
differential geometry.  doCarmo's book on "Cuurves and Surfaces" is 
good, but there are plenty more.  To calculate curvature you need
only second derivatives, and you don't need to rotate the curve.

Cheers

Robert Bartnik






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