Arc Length Parameterization of Spline Curves Export

@article{citeulike:1698361, abstract = {It is often desirable to evaluate parametric spline curves at points based on their arc-length instead of the curve\~{O}s 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.}, author = {Peterson, John W.}, citeulike-article-id = {1698361}, keywords = {arc-length, splines}, posted-at = {2008-02-15 09:52:36}, priority = {2}, title = {Arc Length Parameterization of Spline Curves} }

TY - JOUR ID - citeulike:1698361 L3 - citeulike-article-id:1698361 N2 - 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. TI - Arc Length Parameterization of Spline Curves KW - arc-length KW - splines AU - Peterson, John ER -