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.

几何建模中的真实的代数几何研讨会这个研讨会是关于几何建模和真实的代数几何之间的当前和潜在的相互作用，特别是真实的代数几何，因为它嵌入在数学科学研究所（MSRI）关于真实的代数几何的更大程序中。 它是在2004年4月3日和4日期间举行的活动在MSRI对应用真实的代数几何。这个研讨会带来了来自美国和欧洲的专家与MSRI社区互动本周末和研讨会后的一周。这个研讨会探讨，第一次，在几何造型的真实的代数几何的作用;在几何造型的基本对象-曲面片或贝塞尔曲线--是对象在真实的代数几何。它还加强了几何建模和代数几何之间最近的互利互动，特别是在隐式化和异国情调的复曲面片的发展。特别是，复曲面片在开始实现其承诺之前需要澄清和解决数学挑战。这是在美国举行的第一次关于这种相互作用的研讨会，将影响美国这些科学联系的演变。