计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (8): 98-100.

• 学术探讨 • 上一篇    下一篇

保持物理特征的三维标量场拓扑简化

薛红娟,顾耀林   

  1. 江南大学 信息工程学院,江苏 无锡 214122
  • 收稿日期:2007-07-16 修回日期:2007-10-17 出版日期:2008-03-11 发布日期:2008-03-11
  • 通讯作者: 薛红娟

Topological simplification of 3D scalar fields with physical feature preservation

XUE Hong-juan,GU Yao-lin   

  1. School of Information Engineering,Jiangnan University,Wuxi,Jiangsu 214122,China
  • Received:2007-07-16 Revised:2007-10-17 Online:2008-03-11 Published:2008-03-11
  • Contact: XUE Hong-juan

摘要: 针对现有三维标量场拓扑简化方法,在简化的同时可能丢失部分有意义的物理特征问题,提出并实现了一种保持物理特征的三维标量场拓扑简化算法,采用为应用定制的物理判据分类标量场区域,将标量场重要特征检出和拓扑简化关联起来。结合Morse理论在次要物理特征所在区域构造Morse-Smale复形,并通过对复形上一系列临界点对的删除,达到简化和平滑函数拓扑特征的目的。实验结果验证了该方法的可行性。

Abstract: This paper introduces and realizes a topological simplification of 3D scalar fields with physical feature preservation to solve the physical feature loss problem by pre-existing methods.This paper classifies the scalar field region under the application-specified physical criterion,and combines the feature detection of a vector field with its topological simplification.By constructing Morse-Smale complex over the physically less important subregions and proceeding by repeatedly removing a pair of critical points from the complex,the topological feature is simplified and smoothed,this method is based on the morse theory.The experimentation verifies the feasibility of the method.