NAApr 28, 2016
Approximation by planar elastic curvesDavid Brander, Jens Gravesen, Toke Bjerge Nørbjerg
We give an algorithm for approximating a given plane curve segment by a planar elastic curve. The method depends on an analytic representation of the space of elastic curve segments, together with a geometric method for obtaining a good initial guess for the approximating curve. A gradient-driven optimization is then used to find the approximating elastic curve.