计算机科学与探索 ›› 2007, Vol. 1 ›› Issue (3): 293-304.

• 学术研究 • 上一篇    下一篇

数值稳定的可展网格仿真方法

刘永进1+,汤 凯2,Ajay Joneja3   

  1. 1.清华大学 计算机与科学技术系,北京100084
    2.香港科技大学 机械工程系,香港
    3.香港科技大学 工业工程及物流管理学系,香港
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-10-20 发布日期:2007-10-20
  • 通讯作者: 刘永进

Numerically Stable Simulation of Developable Meshes

LIU Yongjin1+,TANG Kai2,Ajay Joneja3   

  1. 1.Department of Computer Science and Technology,Tsinghua University,Beijing 100084,China
    2.Department MECH,Hong Kong University of Science and Technology,Hong Kong,China
    3.Department IELM,Hong Kong University of Science and Technology,Hong Kong,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2007-10-20 Published:2007-10-20
  • Contact: LIU Yongjin

摘要: 动态可展曲面是采用哈密尔顿原理的一类新型动态模型。详细论述了这类动态模型的数值计算引擎。大量实验结果表明:(1)光滑和褶皱的可展曲面都可用动态网格模拟;(2)传统的挑战性问题如纸张褶皱仿真和塑性服装建模等都可用动态网格以稳定、快速的方式进行计算。

关键词: 可展曲面, 物理建模, 数值方法

Abstract: Dynamic developable mesh is a new dynamic model which utilizes Hamilton principle. The authors present the full implementation details of this promising dynamic framework with a stable numerical engine. Experimental results are presented,showing that (1)both smooth and buckled developable surfaces can be modeled by the framework in a consistent way;(2)challenging problems such as crumpled paper simulation and plastic cloth modeling are solved in an efficient and distinct way with desired speed and stability.

Key words: developable surface, physical-based modeling, numerical methods