摘要
讨论了C2 参数曲线的弧长参数化 .在弧长区间选择性地取若干插值节点 ,利用原参数曲线的C2 连续性质 ,构造一类局部性Hermite插值三次样条、反插值参数曲线的弧长函数 .从而导致的近似弧长参数方程几何上完全描述原参数曲线 ,且自然地保持C2 连续 .近似孤长参数化曲线对于精确弧长参数曲线具有实际应用所期望的逼近性质 .
This paper involves arc-length paramiterization for paramiter curves.Selecting some knots on the arc interval and utilizing C 2-continuous of the original parameter curve,a Hermite interpolation cubic spline is constructed to approximate the inverse arc function of the paramiter curve.Interpolator is local.The resulting nearly arc-legnth paramiterized equation still represents the original curve and remains C 2-continuous preserveing.The nearly arc-length parameterized curve has desired approximation properties to the exact arc-length paramiter curve.
出处
《江西师范大学学报（自然科学版）》
CAS
2002年第2期142-145,共4页
Journal of Jiangxi Normal University(Natural Science Edition)
