A Responsive Finite Element Method to Aid Interactive Geometric Modeling
A Responsive Finite Element Method to Aid Interactive Geometric Modeling
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DOI：
10.1109/mcg.2010.46
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发表时间：
2011-09
影响因子：
1.8
通讯作者：
Nobuyuki Umetani;Kenshi Takayama;J. Mitani;Takeo Igarashi
中科院分区：
文献类型：
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作者：
Nobuyuki Umetani;Kenshi Takayama;J. Mitani;Takeo Igarashi
目前的计算机辅助工程系统主要使用数值模拟方法作为离线验证工具来拒绝不满足要求约束的设计，而不是作为指导用户进行更好设计的工具。然而，将实时有限元法（FEM）集成到交互式几何建模中可以为用户提供指导。在交互式编辑过程中，来自数值模拟的实时反馈指导用户进行改进设计，而无需繁琐的反复试验。在速度和精度权衡的基础上，仔细地重用以前的计算结果，如网格和矩阵，有助于在交互式编辑期间产生快速的有限元分析。几个2D示例应用程序和非正式用户研究表明了这种方法的有效性。这些工具可以帮助非专业用户设计满足物理约束的对象，并帮助这些用户理解潜在的物理属性。
Current computer-aided engineering systems use numerical-simulation methods mainly as offline verification tools to reject designs that don't satisfy the required constraints, rather than as tools to guide users toward better designs. However, integrating real-time finite element method (FEM) into interactive geometric modeling can provide user guidance. During interactive editing, real-time feedback from numerical simulation guides users toward an improved design without tedious trial-and-error iterations. Careful reuse of previous computation results, such as meshes and matrices, on the basis of speed and accuracy trade-offs, have helped produce fast FEM analysis during interactive editing. Several 2D example applications and informal user studies show this approach's effectiveness. Such tools could help nonexpert users design objects that satisfy physical constraints and help those users understand the underlying physical properties.