CAREER: Interactive Physically Based Animation and Optimal Control Using Model Reduction

职业：基于物理的交互式动画和使用模型缩减的最优控制

• 批准号: 1055035
• 负责人: Jernej Barbic
• 金额: $ 48.74万
• 依托单位: University of Southern California
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-05-01 至 2018-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1055035&HistoricalAwards=false
• 关键词: CAREER; Interactive; Physically; Based; Animation

CAREER: Interactive Physically Based Animation and Optimal Control Using Model ReductionJernej Barbic, Computer Science Department, University of Southern CaliforniaAbstractMany dynamical systems in nature are reasonably well-understood in terms of their underlying equations, but are very slow to simulate with detailed models. For example, the Finite Element Method (FEM) has been used extensively to simulate human tissue, automobile and airplane mechanical components, architectural structures, or characters in a computer game. Real-world systems are, however, very complex, which normally requires large computer processing power for their simulation, control and optimization. This research investigates systematic approaches to approximate complex physics with simple, yet mathematically principled models. The resulting fast simulation and control can make medical training more immersive, computer games more entertaining, and CAD/CAM faster and more reliable. More generally, this work applies to any system governed by differential equations, with broader applications in robotics, aeronautics, and defense systems. In addition to developing new publicly available coursework material, educational activities include releasing a large C++ computer graphics/animation codebase to the world under an open source license, and visits to high schools in under-deserved areas of Los Angeles where students are exposed to the benefits of careers in science and engineering.The investigators tackle material and geometric complexity using model reduction, an approach where full equations of motion are approximated by a projection to a properly selected low-dimensional space. While model reduction of nonlinear systems has been previously employed in computer graphics and other disciplines, the existing algorithms often lack flexibility, are not adaptive in space or time, and can only provide smooth, low-dimensional output, even if the unreduced output is known to be complex. The investigators study how to overcome these limitations, using techniques from Lagrange mechanics, multi-resolution analysis and nonlinear optimization. The ultimate goal is to accelerate physics to the point where fusion of physics and design becomes possible for large, complex systems of computer graphics and engineering practice.

职业：使用Model ReductionJernej Barbic，南加州大学Abliaabstractmany动力学系统的计算机科学系基于互动的动画和最佳控制，就其基本方程式而言，人们对其进行了合理理解，但使用详细模型模拟非常慢。例如，有限元方法（FEM）已被广泛用于模拟人体组织，汽车和飞机机械组件，建筑结构或计算机游戏中的字符。但是，实际系统非常复杂，通常需要大量的计算机处理能力来进行模拟，控制和优化。 这项研究调查了使用简单但数学上原则的模型近似复杂物理的系统方法。由此产生的快速模拟和控制可以使医疗培训更加身临其境，计算机游戏更具娱乐性，并且CAD/CAM更快，更可靠。更普遍地，这项工作适用于由微分方程控制的任何系统，并在机器人技术，航空和国防系统中进行了更广泛的应用。 In addition to developing new publicly available coursework material, educational activities include releasing a large C++ computer graphics/animation codebase to the world under an open source license, and visits to high schools in under-deserved areas of Los Angeles where students are exposed to the benefits of careers in science and engineering.The investigators tackle material and geometric complexity using model reduction, an approach where full equations of motion are approximated by a projection to a properly selected低维空间。虽然先前已在计算机图形和其他学科中使用了非线性系统的模型降低，但现有算法通常缺乏灵活性，在时空或时间上不具有自适应性，并且只能提供平滑，低维的输出，即使已知未偿还的输出很复杂。研究人员使用拉格朗日力学，多分辨率分析和非线性优化的技术研究了如何克服这些局限性。最终的目标是将物理学加速到大型，复杂的计算机图形和工程实践系统的融合。