Workshop on Real Algebraic Geometry in Geometric Modeling

几何建模中的实代数几何研讨会

• 批准号: 0412858
• 负责人: Frank Sottile
• 金额: $ 1.5万
• 依托单位: Mathematical Sciences Research Institute
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-04-15 至 2004-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0412858&HistoricalAwards=false
• 关键词: Workshop; Real; Algebraic; Geometry; Geometric

Workshop on Real Algebraic Geometry in Geometric ModelingThis workshop is on the current and potential interactions between geometric modeling and real algebraic geometry, particularly real algebraic geometry, as it is embedded in a larger program at the Mathematical Sciences Research Institute (MSRI) on real algebraic geometry. It is held on April 3 and 4, 2004 during a period of activity at MSRI on applications of real algebraic geometry. The workshop brings experts from the United States and Europe to interact with the MSRI community for this weekend and the week following the workshop.This workshop explores, for the first time, the role of real algebraic geometry in geometric modeling; the basic objects in geometric modeling---surface patches or a Bezier curves---are objects in real algebraic geometry. It also strengthens recent, mutually beneficial interactions between geometric modeling and algebraic geometry, specifically in implicitization and the development of exotic toric surface patches. In particular, there are mathematical challenges posed by toric surface patches that need to be clarified and addressed before they can begin to fulfill their promise. This is first workshop in the US on such interactions and will influence the evolution of these scientific links in US.

几何建模中的真实代数几何学研讨会这本研讨会上的几何建模与实际代数几何形状（尤其是真实代数几何形状）之间的当前和潜在相互作用，因为它嵌入了数学科学研究所（MSRI）上的较大程序中，因此它嵌入了实际algebraic Geormetry的较大程序中。 它于2004年4月3日至4日在MSRI的活动期间与实际代数几何形状的应用。该研讨会使美国和欧洲的专家在本周末和研讨会之后的一周与MSRI社区进行互动。该研讨会首次探讨了真正的代数几何形状在几何建模中的作用；几何建模中的基本对象---表面斑块或曲线曲线 - - 是真实代数几何形状中的对象。它还加强了几何建模与代数几何形状之间的最新，互惠互利的相互作用，特别是在隐式和外来孢子表面斑块的发展方面。尤其是，在要履行诺言之前，需要澄清和解决的曲折表面贴片提出了数学挑战。这是美国关于这种互动的第一个研讨会，将影响我们在美国这些科学联系的演变。