摘要
针对真实齿面数学模型为自由型参数化隐式递推公式,不易于用一般方法进行迭代求解的问题,提出了将求2齿面对应点问题转换成求直线与齿面交点的王角形判断法,并进一步提出运用三角形减半法确定真实齿面精确对应点的迭代初值,得到了一种稳定、可靠、精度高且运算速度较快的求解算法。
The mathematical model of real tooth surface, which is recursion formula of freeform parameterization, can't iterate with general method. The algorithm of trianglejudgement inverting the corresponding point of two tooth surfaces to the intersect ofstraight-line on surface is suggested. The algorithm of triangle reducing part giving theiterating initial value of the accurate corresponding point on real tooth surface is put forwardto achieve a stable, reliable, precise and efficient method.
出处
《中国农业大学学报》
CAS
CSCD
北大核心
1999年第4期64-68,共5页
Journal of China Agricultural University
关键词
真实齿面
三角形判断法
对应点
求解算法
real tooth surface
algorithm of triangle judgement
algorithm of triangle reducing part
solving algorithm of corresponding point