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solving equation consisting of points - sort of... [message #63328] Thu, 06 November 2008 06:49 Go to previous message
shokland is currently offline  shokland
Messages: 4
Registered: January 2008
Junior Member
I have a parametric curve, where I wish to calculate the parameter
value, t, at fixed positions along the trace, g. I calculate the
arclength a_i for a set of parameter values t_i, and now wish to
somehow solve the equations: t_j = a_j with t_j as the unknown. Does
anyone have a suggestion for performing this in an elegant (and
mathematically sound) manner? Obviously, given, a_k, one could find l,
such that a(t_l)<a_k and a(t_(l+1)) > a_k and perform a linear
interpolation to find t_k, but as said, I'm wondering if there's a
better way...

Thanks in advance for any help you can offer.

Kind regards,
Steffen
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