面向3D打印的三角网格模型高质量细分  

High quality triangular mesh subdivision oriented to 3D printing

作　　者：贺强[1] 徐艺[1] 杨晓强[1] HE Qiang XU Yi YANG Xiaoqiang(Civil Aviation Flight University of China, Guanghan 618307, CHN)

机构地区：[1]中国民用航空飞行学院,四川广汉618307

出　　处：《制造技术与机床》2017年第8期33-37,共5页Manufacturing Technology & Machine Tool

基　　金：国家自然科学基金资助项目(51175434);中国民用航空飞行学院青年基金项目(Q2015-48)

摘　　要：为了提高3D打印中三角网格模型的精度和光滑度,提出一种基于局部曲面逼近的特征保持的三角网格模型细分算法。首先计算三角网格模型中每个顶点的高斯曲率,以高斯曲率为权值计算每个三角形中的新增细分点;然后对新增点的邻域进行特征保持的多元L_1中值曲面表示并得到新增点在该曲面表示中的空间位置;最后将新增点移至该位置处,从而完成模型高质量的细分处理。该算法有效提高了原始三角网格模型精度和光滑度的同时,还有效保持了原始的几何特征。实验结果表明了算法的有效性。To improve the precision and smoothness of triangular mesh model in 3D printing,a high quality subdivision algorithm based on the feature preserving local surface approximation is presented. Firstly,the gaussian curvature of every vertex was computed,and the computed value was used to calculate the position of new added subdivided vertex for each triangle. Then,feature preserving surface approximation representation based on multivariate L1 median of the neighbors of new vertex was acquired. The high quality subdivision was finally completed by that the true position of the vertex based on the surface representation was used to update the coordination of the new added subdivided vertex. This method improves precision and smoothness of the original triangular mesh,and also effectively preserves the original geometric features. Experiments demonstrate that the algorithm is effective.

关 键 词：曲率 细分 多元L1中值 三角网格模型 3D打印 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]