Abstract: The mathematical model of minimum distance between a point and a complex curve is established，the subdivision approximating algorithm for fast calculating the minimum distance between a point and complex curve is proposed.The effectiveness of algorithm is verified by a series of tests，it can obtain precision result，be realized easily using computer and be applied to three coordinate measuring machine，so it has important value in the engineering.

摘要： 建立了点到复杂平面曲线最小距离的数学模型，提出了快速计算点到复杂平面曲线最小距离的分割逼近算法。大量算例验证了该算法的有效性，其计算精确度高，可以达到任意给定的精度，非常适用于三坐标测量机的点相关数据处理，在工程上具有重要的实用价值。