Mathematical Foundations of CAD Workshop

有关“计算机辅助设计的数学基础”的工作坊将於六月四日至五日在加州伯克利的数学科学研究所举行。本次研讨会的目的是将来自纯数学和应用数学、计算几何和计算机辅助几何设计领域的顶尖研究人员聚集在一起，探索目前在科学/工程应用中损害CAD系统的实用性和可靠性的基本未解决的数学和计算问题。CAD系统中的几何表示和操作问题在许多数学领域都有很深的根基，例如代数和微分几何、拓扑学、分析和逼近理论。这个工作坊将有助促进民航处和数学界之间的讨论和互动。它将是探索性的，将使用‘立场’文件来激发关于当前需求、可能性和共同探索的前景领域的辩论和讨论。研讨会的预期成果将包括：(1)使数学家接触到一系列有趣的几何问题，这些问题源于实际的CAD需求；(2)向CAD算法开发人员传授相关数学学科的最新概念；(3)促进CAD和数学界研究人员之间的合作项目；以及(4)在适当的论坛上汇编和发布研讨会的成果。

A workshop on 'Mathematical Foundations of CAD' will be held at the Mathematical Sciences Research Institute, Berkeley CA, June 4-5, 1999. The purpose of this workshop is to bring together leading researchers from the fields of pure and applied mathematics, computational geometry, and computer-aided geometric design, to explore the fundamental unresolved mathematical and computational issues that currently impair the utility and reliability of CAD systems in scientific/engineering applications. Problems with the representation and manipulation of geometry in CAD systems have deep roots in many areas of mathematics, such as algebraic and differential geometry, topology, analysis, and approximation theory. This workshop will help promote discussion and interaction between the CAD and mathematics communities. It will be exploratory in nature, with 'position' papers used to stimulate debate and discussion concerning current needs, possibilities, and promising areas for joint exploration. The anticipated outcomes of the workshop will include: (1) exposing mathematicians to an interesting array of geometry problems motivated by practical CAD needs; (2) imparting to the CAD algorithm developers an idea of the current state-of-the-art in relevant mathematical disciplines; (3) promotion of collaborative projects between researchers in the CAD and mathematics communities; and (4) compilation and publication of the workshop findings in an appropriate forum.