用导矢叉乘法对NURBS曲线进行形状调整

Adjusting Shape of NURBS Curve by Cross Product of Tangent Vectors

提出用新旧曲线上对应点的两个导矢叉乘平方的积分定义目标函数的方法 通过极小化目标函数使新曲线偏离原曲线的程度最小 ,从而使新曲线在满足修改条件的前提下更符合原曲线所定义的形状

A new method for adjusting the shape of NURBS curve is presented The new method defines the objective function by the integral of the squared cross product of the two tangent vectors of the original and new curves By minimizing the objective function, the new method makes the deviation of the new curve with the original be one least, which makes the new curve have the shape suggested by the original curve while satisfying the conditions required by the modification The examples for comparing the shapes and errors of the curves by the new method are included