Utilizing the Visual Appearance of Curves and Surfaces

利用曲线和曲面的视觉外观

• 批准号: 9201436
• 负责人: Bruce Piper
• 金额: $ 8.58万
• 依托单位: Rensselaer Polytechnic Institute
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-08-15 至 1995-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9201436&HistoricalAwards=false
• 关键词: Utilizing; Visual; Appearance; Curves; Surfaces

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.

自由曲线的设计与几何处理， 表面可以通过获得 了解他们的视觉外观。 比如说 凸形和螺旋形的概念将视觉 曲线的出现对其合成和处理， 可以用来开发有效的技术，以提高使用 在计算机环境中的曲线。 该项目开发 自由曲面分类的进一步定义 形状属性，并将其发展为有用的技术， 表面的设计和加工。 这些技术将 有一个共同的数学基础，这将有助于合并 零件的设计和工程。