Designing interactively with elastic splines

摘要

We present an algorithm for designing interactively withC1elastic splines. The idea is to design the elastic spline using aC1cubic polynomial spline where each polynomial segment is so close to satisfying theEuler–Lagrangeequation for elastic curves that the visual difference becomes negligible. Using a database of cubic Bézier curves we are able to interactively modify the cubic spline such that it remains visually close to an elastic spline.