北京航空航天大学学报 ›› 2010, Vol. 36 ›› Issue (1): 57-60.

• 论文 • 上一篇    下一篇

基于边界保持的非闭合细分曲面小波变换

赵 罡, 白 杰, 季宝朋, 俞佳庆   

  1. 北京航空航天大学 机械工程及自动化学院, 北京 100191
  • 收稿日期:2009-03-25 出版日期:2010-01-31 发布日期:2010-09-13
  • 作者简介:赵 罡(1972-),男,河北文安人,副教授,zhaog@buaa.edu.cn.
  • 基金资助:

    国家自然科学基金资助项目(60603089); 北京市科技新星计划资助项目(2007B018)

Unclosed loop subdivision wavelets transform based on boundary preserving

Zhao Gang, Bai Jie, Ji Baopeng, Yu Jiaqing   

  1. School of Mechanical Engineering and Automation, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
  • Received:2009-03-25 Online:2010-01-31 Published:2010-09-13

摘要: 针对非闭合Loop细分曲面,提出一种小波变换的方法.该方法利用网格边界所在的平面作为映射镜面,将非闭合的网格曲面转换为具有对称形状的闭合网格曲面.在此情况下,原网格边界上的顶点变为新生成闭合网格的内部顶点,在对其进行小波变换后将镜像复制的部分去除即可得到新网格及其边界.该算法同时能够保证网格曲面边界在进行小波变换过程中始终保持在同一平面内,为基于多分辨技术的细分曲面数控加工定位面的确定带来方便.

Abstract: A loop subdivision wavelet transform algorithm for the unclosed mesh surface was presented. Using the plane on which the mesh boundary located as the reflection mirror, the unclosed mesh can be mirrored as a closed one with the symmetrical structure. In this case, the boundary points of the original mesh can be treated as the inner points of the new closed mesh. After the wavelet transferred, the new unclosed mesh can be achieved by removing the "virtual mirror points" of the closed mesh. Meanwhile, the plane on which the boundary curves located of the unclosed mesh was kept unchanged during the process of the loop subdivision wavelet transformation, which brought convenient in looking for the locating surface in multiresolution-based mesh NC machining.

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