应用保角映射构造流形上的细分曲线

Constructing Subdivision Curves on Manifolds Using Conformal Mapping

通过对流形的保角映射,把常用的曲线细分格式应用于流形上,生成流形上的光滑曲线.实验证明这类曲线具有较好的光滑度,并继承了R3空间中细分曲线的一些特征,如曲线可以是插值或者逼近原始点列.同时给出实例以说明该方法的有效性.

The paper proposes a curve subdivision approach using conformal mapping of manifolds. It is proved by experiments that the resulting curves in some sense have nice smoothness and inherited some properties of subdivision curves in R3 space, such as the curves might interpolate or approximate the initial points. Some examples are provided to illustrate the efficiency.