Cyclides in Solid Modelling

实体建模中的循环

• 批准号: 8807550
• 负责人: Vijaya Chandru
• 金额: $ 5万
• 依托单位: Purdue Research Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-10-01 至 1990-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8807550&HistoricalAwards=false
• 关键词: Cyclides; Solid; Modelling

Research on applications of cyclides in solid modelling will be conducted. Cyclides are a class of fourth-order surfaces with circular lines of curvature, discovered by Dupin in the early 19th century. They possess interesting properties that can be algorithmically exploited to enhance the capability of the current solid modelers. The impact of cyclides in the realm of computer aided geometric design is envisioned to include application in: (1) the generation of offsets of complex solids and (2) variable radii blends of solids. Both are important problems with varied applications. Initial investigations indicate the cyclides can be successfully used to solve both problems. This work deals with specific research issues that pertain to the use of cyclides in offsets and blends of solid models.

研究循环线在实体造型中的应用， 进行。 Cyclides是一类四阶曲面， 19世纪初杜宾发现的圆形曲率线 世纪。 它们具有有趣的特性， 利用算法来增强当前 实体建模。 Cycles在计算机领域的影响 辅助几何设计被设想为包括以下应用：（1） 复杂实体的偏移生成;（2）可变半径 固体的混合物。 两者都是重要的问题， 应用. 初步调查显示，这些自行车可能是 成功地解决了这两个问题。 这项工作涉及 关于在环境中使用自行车的具体研究问题 实体模型的偏移和混合。