基于广义逆矩阵的Bézier曲线降阶逼近

Degree Reduction Approximation of Bézier Curves by Generalized Inverse Matrices

研究了 Bézier曲线的降多阶逼近问题 .利用 Bézier曲线本身的升阶性质 ,并结合广义逆矩阵的最小二乘理论 ,给出了一种新的降阶逼近方法 .此方法克服了一般降阶方法中每次只能降阶一次的弱点 ,并且得到了很好的逼近效果 .

The multidegree reduction of Bézier curves is studied in this paper. The elevation property of Bézier curves themselves is combined with the least squares theory of generalized inverse matrices, and a new approximation method of multidegree reduction is presented. This method overcomes the weakness of the general method, which can reduce only one degree for each time, and obtains good approximation effects.