[1]何钢,廖文和,刘浩.应用在联合细分曲面的离散PDE光顺方法[J].东南大学学报(自然科学版),2007,37(1):35-39.[doi:10.3969/j.issn.1001-0505.2007.01.009]
　He Gang,Liao Wenhe,Liu Hao.Application of discrete PDE fairing method to combined subdivision surface[J].Journal of Southeast University (Natural Science Edition),2007,37(1):35-39.[doi:10.3969/j.issn.1001-0505.2007.01.009]
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应用在联合细分曲面的离散PDE光顺方法()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
37
期数:
2007年第1期
页码:
35-39
栏目:
计算机科学与工程
出版日期:
2007-01-20

文章信息/Info

Title:
Application of discrete PDE fairing method to combined subdivision surface
作者:
何钢;  廖文和;  刘浩
南京航空航天大学机电学院, 南京 210016
Author(s):
He Gang;  Liao Wenhe;  Liu Hao
College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
关键词:
离散PDE;  联合细分;  光顺
Keywords:
discrete partial differential equation;  combined subdivision;  fairing
分类号:
TP391.7
DOI:
10.3969/j.issn.1001-0505.2007.01.009
摘要:
将离散偏微分方程(PDE)光顺方法应用在联合细分的控制网格光顺过程中,即以插值曲线对应的控制边为界将控制网格分割为不重叠的子网格.针对各个子网格分别求解离散PDE,得到控制网格理想曲率,然后在控制网格法向调整控制顶点位置,使控制网格的实际离散曲率逼近于理想曲率.在不同细分层次上,分别对各个子网格光顺,也就实现了控制网格局部和全局的光顺,同时消除了联合细分极限曲面中存在的凹陷等不光顺现象.除奇异点外,极限曲面均达到G2连续.该方法提高了联合细分曲面的质量,扩宽了联合细分的应用范围.
Abstract:
Discrete partial differential equation(PDE)fairing method is directly applied to fair the control mesh of combine subdivision surface. Bounded by control edges related with curves, control mesh is partitioned into submeshes without overlapping. By solving discrete PDE the ideal curvature of single submesh can be obtained. The adjustment of the control vertexes at their normal will make the actual discrete curvature approach to the ideal curvature. While fairing the submeshes separately at different subdivision level, the local and global fairing of control mesh is achieved, and the typical concave phenomenon in combined subdivision surface is removed. The limited surface reaches G2 continuity except at extraordinary vertex. The method improves combined subdivision surface’s quality and extends the use of combined subdivision.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 国防基础科研资助项目.
作者简介: 何钢(1975—),男,博士生,ihegang@163.com; 廖文和(联系人),男,博士,教授,博士生导师,cnwho@nuaa.edu.cn.
更新日期/Last Update: 2007-01-20