Presidential Young Investigator Award: Geometric Modeling and Tolerances

公差在确定质量方面起着重要作用， 制造产品的成本和上市时间。 电流 公差方法是劳动密集型的并且容易出错。 研究 是针对发展的理论基础， 公差的计算机自动化解决方案所必需的 问题，基于产品设计规范， 传统的计算机辅助设计系统。 正在处理的一些具体的次级问题是： 公差的数学理论的发展，提供 一个有用的算法解释的每一个几何和 当前设计实践中使用的正负公差; 装配模型的开发，捕捉交配的语义 特征关系;公差自动化的扩展 概念设计的能力;以及 计算几何学的策略， 存在小的模拟制造差异。

Tolerances play an important role in determining the quality, cost, and time to market, of manufactured products. Current tolerancing methods are labor intensive, and error prone. Research is directed to the development of the theoretical foundations necessary for the automated computer solution of tolerancing problems, based on product design specifications derived from traditional computer-aided design systems. Some of the specific sub-problems being addressed are: the development of a mathematical theory of tolerances that provides a useful algorithmic interpretation of each of the geometric and plus-minus tolerances used in current design practice; the development of assembly models that capture the semantics of mating feature relationships; the extension of automated tolerancing capabilities to conceptual design; and the development of strategies for computational geometry that are robust in the presence of small simulated manufacturing variations.