Utilizing the Visual Appearance of Curves and Surfaces

通过对自由曲线和曲面的视觉外观的了解，可以极大地方便其设计和几何处理。例如，凸形和螺旋形的概念将曲线的视觉外观与其合成和处理联系在一起，因此可以用来开发有效的技术，以改进计算机环境中曲线的使用。该项目制定了进一步的定义，根据形状属性对自由曲面进行分类，并将这些定义发展成用于表面设计和处理的有用技术。这些技术将有一个共同的数学基础，这将有助于将零件的设计和工程相结合。

The design and geometric processing of free form curves and surfaces can be greatly facilitated by gaining an understanding of their visual appearance. For example, the concepts of convex and spiral shapes link the visual appearance of a curve to its synthesis and processing and thus can be used to develop effective techniques to improve the use of curves in a computer environment. The project develops further definitions to categorize free form surfaces based on shape properties and develops these into useful techniques for the design and processing of surfaces. These techniques will have a common mathematical basis and this will help to merge the design and engineering of parts.