Arc Length Parameterization of Spline Curves
نویسنده
چکیده
It is often desirable to evaluate parametric spline curves at points based on their arc-length instead of the curveÕs original parameter. Techniques are presented here for computing a reparameterization curve allowing approximate arc-length evaluation. This reparameterization curve is also expressed as a spline, allowing rapid evaluation as a function of arc-length. Using composition methods developed by DeRose et. al, the original curve and its reparameterization curve may be composed into a single, higher order curve that exhibits approximate arclength parameterization.
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