计算机工程与应用 ›› 2010, Vol. 46 ›› Issue (29): 186-188.DOI: 10.3778/j.issn.1002-8331.2010.29.054

• 图形、图像、模式识别 • 上一篇    下一篇

非结构网格下曲线变形的水平集方法

东 晨,宋松和   

  1. 国防科技大学 理学院 数学系,长沙 410073
  • 收稿日期:2009-03-09 修回日期:2009-05-25 出版日期:2010-10-11 发布日期:2010-10-11
  • 通讯作者: 东 晨

Level-set metamorphosis method on unstructed meshes

DONG Chen,SONG Song-he   

  1. Department of Mathematics,National University of Defense Technology,Changsha 410073,China
  • Received:2009-03-09 Revised:2009-05-25 Online:2010-10-11 Published:2010-10-11
  • Contact: DONG Chen

摘要: 采用基于非结构网格的水平集方法对曲线变形问题进行了数值模拟。通过度量函数最优化过程得到曲线变形的驱动方程,驱动方程中增加曲线曲率项对度量函数进行优化,空间上采用有限体积法求解水平集方程,时间上采用Runge-kutta显式方法,时间、空间均达到2阶精度。实验结果得到了高质量的过渡曲线,显示复杂几何拓扑形变可以理想地实现。

Abstract: This paper proposes a new method for curve metamorphosis,where the in-between curves are constructed by using unstructed meshes.The key idea is to implicitly represent the curve as the level set of a higher dimensional function,and solve the morphing equations on unstructed meshes using finite volume methods.This approach thereby eliminates the round-off errors taken by the interpolation in a Cartesian coordinate system.Experimental result is presented to demonstrate the effectiveness of this method.

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