Algorithmic Studies in Applied Geometry

应用几何中的算法研究

• 批准号: 9504192
• 负责人: Joseph S. Mitchell
• 金额: $ 29.2万
• 依托单位: SUNY at Stony Brook
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-08-15 至 1999-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9504192&HistoricalAwards=false
• 关键词: Algorithmic; Studies; Applied; Geometry

This investigation has three major objectives: (1) to add new algorithms and methodologies to the repertoire of geometry techniques, including new approximation methods and algorithms that are simpler and easier to implement than ones; (2) to formulate precise algorithmic versions of a large body of geometric problems from allied fields, in such a way that the of computational geometry can be applied successfully and so that the community of largely theoretical computational geometers can properly exposed to the more practical applications of the (allied fields include cartography, computer vision, design, graphics, manufacturing, etc); and (3) to disseminate methodologies of computational geometry to applied researchers who work in allied fields but who have been largely unaware of progress in computational geometry, particularly since it has been construed as a primarily theoretical instrument. The third objective is through discussions of research directions with contacts in research labs and through publishing papers for conferences and in journals whose readership includes a breadth of engineering disciplines.

这项研究具有三个主要目标：（1）将新算法和方法添加到几何技术曲目中，包括新的近似方法和算法，这些算法和算法比相比更简单，更易于实现； （2）以从盟军领域制定大量几何问题的精确算法版本，以便可以成功地应用计算几何形状，以便在很大程度上可以将理论计算几何器的社区适当地暴露于（包括（Allied Fields）的更实际应用，包括（Allied Fields，计算机视觉，设计，设计，图形，图形，等等）; （3）将计算几何形状的方法论传播给在盟军领域工作但在很大程度上不知道计算几何学进展的应用研究人员，尤其是因为它被解释为主要是理论工具。 第三个目标是通过与研究实验室中的联系以及有关会议和读者读者包括工程学科的广度的期刊的论文进行讨论。