Abstract: To solve the problem of symmetry plane extraction in feature based reverse engineering, a robust algorithm was presented. The model was segmented into voxels set based on its feature lines. For each voxel, shape distribution histogram was calculated, and voxels with geometry similarity were obtained through shape distribution function. The set of symmetric voxels was constructed by ones which had similar minimum bounding box. The symmetry plane was computed by robust principle component analysis. The experimental results showed that the extracted symmetry information was accurate and had robust.

Key words: symmetry plane, segmentation, shape distribution, reverse engineering

摘要： 为解决基于特征的逆向工程中反射对称提取的问题，提出一种鲁棒的对称面提取方法。首先利用特征线将模型分割成体素的集合，然后计算各个体素的形状分布曲线，通过形状分布曲线匹配的方式获几何形状相似的体素，并利用最小包围盒从中提取大小相似的体素以构成对称体素的集合。最后利用鲁棒的主元分析方法提取了反射对称体素的对称面信息。实验结果表明对称提取结果的误差较小并具有较强的鲁棒性。

关键词: 对称面, 分割, 形状分布, 逆向工程