Approximation by planar elastic curves

作者:Brander David*; Gravesen Jens; Norbjerg Toke Bjerge
来源:Advances in Computational Mathematics, 2017, 43(1): 25-43.
DOI:10.1007/s10444-016-9474-z

摘要

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.

  • 出版日期2017-2