保持二维流形性的拓扑简化研究  

Study on the Topology Simplification for Preserving 2-Manifold

作　　者：张晔芝[1] 谷士文[2] 夏利民[2] 

机构地区：[1]中南大学土木建筑学院,湖南长沙410075 [2]中南大学信息科学与工程学院,湖南长沙410083

出　　处：《湖南大学学报（自然科学版）》2007年第10期66-69,共4页Journal of Hunan University:Natural Sciences

基　　金：湖南省自然科学基金资助项目(99JJY20058)

摘　　要：针对现有的网格简化方法不能一直保持模型的二维流形性,提出了2种基于图形旋转系统的拓扑改变操作CutHandle和CreateHandle,这2种操作能够保持模型的二维流形性,并且不改变模型的外观.CutHandle操作能够切断一个复杂的柄,也可以封闭一个洞.CreateHandle是其逆操作.在此基础上,提出一种新的基于图形旋转系统的网格简化方法,能够进行拓扑简化,并保持模型的二维流形性.对斯坦福大学的bone模型和buddhaf模型进行了试验,效果良好,模型始终保持了二维流形.The current mesh simplification methods can not preserve 2-manifold of models,so this paper presented two topology operations, CutHandle and CreateHandle. These two operations can preserve 2-manifold of models, and do not change the appearance of models. CutHandle operation can cut a handle or close a hole,and CreateHandle operation is the reverse operation of CutHandle. Based on these, a new mesh simplification method based on graph rotation system was presented,which could support topology simplification and preserve 2-manifold of models. We have tested this method by using the bone model and buddhaf model of Stanford University. The results are satisfactory,because the models preserve 2-manifold during the test.

关 键 词：流形 拓扑 网格简化 图形旋转系统 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]