基于约束条件的三次NURBS曲线插值研究

On Interpolation of Cubic NURBS Curve Based on Constrained Conditions

综合目前NURBS曲线插值方法,提出了一种新的三次NURBS曲线插值方法.该方法给出了求在型值点处曲率和切线方向约束条件下的三次NURBS曲线插值的方法,为以后通过NURBS曲线生成NURBS曲面奠定基础,并为工程设计人员进行NURBS曲线插值提供理论依据.

Based on the existing NURBS curve interpolation method,the paper provides a new cubic NURBS curve interpolation method.This method gives the order to the data points at the direction of curvature and tangent constraints under the condition of the cubic NURBS curve interpolation algorithm.The cubic NURBS curve is a basis on the research of NURBS curved surface,and it also provides a theoretic basis for engineering designers in doing NURBS curve interpolation.