Mathematical Sciences: Non-Linear Aspects of the Geometry of Convex Sets

数学科学：凸集几何的非线性方面

• 批准号: 9504249
• 负责人: Paul Goodey
• 金额: $ 10.5万
• 依托单位: University of Oklahoma Norman Campus
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-06-15 至 1999-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9504249&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Non; Linear; Aspects

9504249 Goodey The proposed research lies in the area of geometric convexity theory. In particular, the proposer wants to study projection functions for centrally symmetric convex bodies using the Radon transform techniques. The projection functions are objects of importance in stereology and tomography. In particular, they are used in the X-ray problem where the researchers seek to find efficient algorithms to reconstruct convex bodies from their X-ray images.

9504249 Goodey 所提议的研究属于几何凸性理论领域。特别是，提议者希望使用 Radon 变换技术研究中心对称凸体的投影函数。 投影函数是体视学和断层摄影中的重要对象。特别是，它们被用于 X 射线问题，研究人员寻求找到有效的算法来从 X 射线图像重建凸体。