【摘要】 文章基于曲线的参数方程分解和信号平滑滤波的基本思想，对二维或三维空间离散曲线，用弧长为参数进行参数方程分解，在此基础上对分解后的数据分别进行小波平滑处理，然后将平滑处理后的数据重建曲线，并且对合成曲线进行数据合并以及插值，最后得到平滑了的空间曲线。该方法解决了图象处理中曲线提取后存在的不光滑问题。文章最后给出的一些对比实验结果，并证明了该算法的有效性。更多还原

【Abstract】 Based on the basic theory of signal smoothing and its Parameter equation, an algorithm of 2D (or 3D)curve’s wavelet smoothing is proposed in this paper. The discrete curve is mapped into the parameter space, andthe process of smoothing based on the two parameter equations x(s) and y(s) are carried out respectively, in thisstep, an method of wavelet analysis is applied; And then the smoothed data are composed as a curve. Finally,some examples are given, and the algorithm is verified to be effective.更多还原