关键词: 双圆弧插值 离散能量模型 最优切向角 数据参数化

Abstract:

A key issue in parametric curve interpolation is the selection of parametric knots. A new method based on the discrete energy model for determining pa rametric knots is presented. By minimizing the objective function of the discrete energy model and solving a system of linear equations, the new method  can obtain the optimal tangent-angles generatcd by the fairer parametric curve over parametric knots and then employ those as variables to compute the parametric values of knots. The examples for comparing the shapes and errors of the curves by the new method are also included.

Key words: bi-circle arc interpolation, discrete energy model, optimal tangent-angle, data parameterization