近似弧长参数化的三次保形插值

Shape Preserving Cubic Interpolation with Nearly Arc-Length Parameterization

在构造近似弧长参数化曲线时 ,必须添加某些额外的数据点 ,以获得足够的近似弧长参数化精度 .对于参数三次曲线 ,给出了一个“双点单位化”的近似弧长参数化公式 ,为如何选择这些额外数据点提供了理论依据 .所给出的方法既能有效地提高近似弧长参数化精度 ,同时又满足了保形插值的要求 .

To generate nearly arc-length parameterized curve, some extra data points are often demanded for getting an acceptable precision. This article gives a theoretical criterion for how to select the extra points mentioned above. The presented method can improve effectively the precision of arc-length parameterization to meet the requirements of shape preserving interpolation.