航空学报 > 2006, Vol. 27 Issue (2): 318-324

基于离散曲率计算的三角网格模型优化调整

神会存1,2, 周来水2   

  1. 1. 南京航空航天大学507教研室, 南京 210016;2. 南京航空航天大学507教研室, 江苏 南京 210016
  • 收稿日期:2004-10-26 修回日期:2005-04-08 出版日期:2006-04-25 发布日期:2006-04-25

Triangular Mesh Regularization Based on Discrete Curvature Estimation

SHEN Hui-cun1,2, ZHOU Lai-shui2   

  1. 1. Faculty 507, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;2. Faculty 507, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • Received:2004-10-26 Revised:2005-04-08 Online:2006-04-25 Published:2006-04-25

摘要: 采用面积夹角加权的三角网格模型顶点法矢及三角片质心权值对Taubin的三角网格模型离散曲率计算方法进行了改进,在此基础上提出了一种新的三角网格模型优化调整方法。用该方法调整三角网格模型,在模型上曲率变化较平缓的平坦区域及曲率变化较剧烈的特征区域都能取得较好的调整效果。

关键词: CAD/CAM, 三角网格模型, 优化调整, 顶点法矢, 离散曲率, 逆向工程

Abstract: Based on the improvement of Taubin’s discrete curvature estimation method of triangular mesh by the adoption of area and angle weighted triangle vertex normal vector calculation formula and triangle centroid weights, a novel algorithm for triangular mesh regularization is presented. By this algorithm, good results can be achieved both in the flat regions with equable curvature changes and the feature regions with steep curvature changes of the regularized triangular meshes.

Key words: CAD/CAM, triangular mesh, regularization, vertex normal vector, discrete curvature, reverse engineering

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