Approximation by planar elastic curves
arXiv:1509.00703 · doi:10.1007/s10444-016-9474-z
Abstract
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.
18 pages, 10 figures. Version2: new section 5 added (conclusions and discussions)