计算机工程与应用 ›› 2007, Vol. 43 ›› Issue (23): 51-55.

• 学术探讨 • 上一篇    下一篇

保持尖锐特征的混合细分曲面生成

周 敏,彭国华,叶正麟,吕全义,任水利   

  1. 西北工业大学 理学院,西安 710072
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-08-11 发布日期:2007-08-11
  • 通讯作者: 周 敏

Generation of hybrid subdivision for holding sharp features

ZHOU Min,PENG Guo-hua,YE Zheng-lin,LV Quan-yi,REN Shui-li   

  1. College of Science,Northwestern Polytechnical University,Xi’an 710072,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2007-08-11 Published:2007-08-11
  • Contact: ZHOU Min

摘要: 基于混合细分模式,提出了细分曲面尖锐特征生成方法,通过对初始混合控制网格上要生成的各种尖锐特征的顶点和边分别作标记,然后局部修改细分规则进行迭代细分,实现了光滑混合曲面上产生折痕、角点、刺点、尖点的尖锐特征效果,并对尖锐特征处的局部细分矩阵进行了详细的特征分析。实验结果表明,该文算法效果好,能很好地保持模型的尖锐特征。

关键词: 混合细分, 尖锐特征, 细分矩阵, 特征分析

Abstract: Previous methods for generation of sharp features of subdivision surfaces are based on that initial control meshes are either triangle-only meshes or quad-only meshes.However,in engineering surface modeling,general shapes designers often want to model certain regions with triangle and quad hybrid patches structure.In order to overcome the defect in generation of sharp features utilizing traditional approaches,in this paper,we propose a method for creating sharp features on hybrid subdivision surfaces.By locally modifying hybrid subdivision rules,sharp features such as crease,corner,dart and cusp are generated.We also give eigenanalysis of local subdivision matrices for the piecewise smooth subdivision rules that include sharp features,and convergence and smoothness of the limit surface are discussed.Examples demonstrate the efficiency of our method.

Key words: hybrid subdivision, sharp feature, subdivision matrix, eigenanalysis