非刚体运动分析的非线性有限元方法

Wen-Chen Huang, Dmitry Goldgof, L. Tsap
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引用次数: 15

摘要

非刚体或可变形体的运动问题在工程力学和应用数学领域得到了广泛的研究,并取得了巨大的成功。在计算机视觉中,工程力学在三维形状拟合和运动分析中的应用通常被称为利用可变形形状模型或基于物理的建模(通常使用线性有限元法)。由于许多现实世界的材料在遭受大变形时表现为非线性,因此人们不能期望线性有限元法是许多经历大变形的材料的良好模型。这严重制约了有限元法在许多非刚性概念分析问题中的应用。本文提出将非线性有限元模型应用于非刚体运动分析
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nonlinear finite element methods for nonrigid motion analysis
The motion of nonrigid or deformable bodies has been studied in the field of engineering mechanics and applied mathematics for years with great success. In computer vision, the application of engineering mechanics for 3D shape fitting and motion analysis is generally called utilizing deformable shape models or physically-based modeling (usually using linear FEM). Since many real-world materials behave non-linearly when they are subjected to large deformations, one cannot expect a linear FEM to be a good model of many materials undergoing large deformation. This severely restricts the applications of FEM in many nonrigid notion analysis problems. In this paper we propose the use of the nonlinear finite element modeling for the nonrigid motion analysis
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