Abstract: A new method for discrete curve smoothing is proposed. Two kinds of mesh denoising algorithms are proposed by Fleishman et al and Jones et al, and these algorithms can preserve features well. But they have disadvantages: the first one makes mesh shrink and the second one makes mesh expand. So, when the two algorithms are applied to curve smoothing. Not only can main features of the original curve be preserved well, but also the smoothed curve no longer suffers from shrinkage. The new algorithm solves two important problems: shrinkage and preserving features.

Key words: denoising, bilateral filtering, curve shrinkage

摘要： 介绍了一种对平面离散曲线进行去噪声的新的方法。在网格去噪算法中，有两种比较好的去噪方法，分别是由Fleishman等人与Jones等人提出的。这两种网格去噪算法都能较好地保持特征，但是它们的缺点是前者会产生收缩，而后者则会产生扩张，将这两种算法结合起来，并且应用于曲线，得到了一种新的不会产生收缩，并且能够很好保持特征的平面曲线去噪算法，较好地解决了在曲线去噪中的两个重要问题：收缩和保特征。

关键词: 去噪, 双边滤波, 曲线收缩