Degree Reduction Approximation of Bézier Curves by Generalized Inverse Matrices
Degree Reduction Approximation of Bézier Curves by Generalized Inverse Matrices
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发表时间：
2001
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通讯作者：
Chen Guo-Dong
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作者：
Chen Guo-Dong
本文研究了Bezier曲线的多阶降阶问题。将Bezier曲线本身的仰角性质与广义逆矩阵的最小二乘理论相结合，提出了一种新的多阶降阶逼近方法。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 Bezier curves is studied in this paper. The elevation property of Bezier 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.