Approximation by planar elastic curves
arXiv:1509.0070314 citationsh-index: 18
Originality Synthesis-oriented
AI Analysis
For computer-aided design and geometric modeling, this provides a method to represent curves with physically meaningful elastic curves, though the approach is incremental.
The paper presents an algorithm to approximate a given plane curve segment using a planar elastic curve, achieving accurate fits through analytic representation and gradient-driven optimization.
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.