Geometry Processing Summer Institute 2021

几何处理暑期学院 2021

• 批准号: 2103933
• 负责人: Justin Solomon
• 金额: $ 4.81万
• 依托单位: Massachusetts Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2021
• 资助国家: 美国
• 起止时间: 2021-03-15 至 2022-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2103933&HistoricalAwards=false
• 关键词: Geometry; Processing; Summer; Institute; 2021

This award provides support for a 6-week program titled the Summer Geometry Institute (SGI), a workshop intended to introduce a broad pool of students to geometry processing research through immersive interaction with top researchers in the discipline. The Institute will be held July 19-August 28, 2021 online; more information can be found on its website (http://geometry.institute). Overall, SGI aims to accomplish the following objectives: (1) spark wide collaboration among students and researchers in geometry processing, (2) launch inter-university research projects in geometry processing involving team members across broad levels of seniority (undergraduate, graduate, faculty, industrial researcher), (3) introduce students to geometry processing research and development, and (4) diversify the "pipeline" of students entering geometry processing research, in terms of gender, race, socioeconomic background, and home institution. The first week of the Institute will train undergraduate and MS student participants on state-of-the-art techniques in geometry processing, intended as their first exposure to this discipline. Then, for the remaining weeks, student teams collaborate on research problems, with the goal of exploring directions suggested by senior attendees. Beyond these day-long interactions, visitors will give talks on frontier areas and lead relevant tutorials. The opportunity cost for students taking six weeks to participate will be covered by the workshop. As a discipline, geometry processing presents substantial theoretical challenges motivated by practical considerations of manufacturing/fabrication, computer vision, physical simulation, and high-performance computing. Participants will be exposed to---and will advance state-of-the-art in---technical problems ranging from the development of a toolkit for discrete differential geometry to the incorporation of probability/uncertainty in the shape processing pipeline. Participating in geometry processing research also gives mathematics students exposure to fields like differential geometry in a more tangible environment, coupled with computer visualizations and concrete applications with immediate impact. Our workshop is designed to make progress on several concrete challenges in geometry processing, including development of robust geometry processing algorithms, design of high-throughput shape analysis methods, design of sensible machine learning architectures for understanding and processing geometry built on foundations from differential/algebraic geometry, and extending machinery from geometry processing to higher-dimensional problems.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该奖项为名为“夏季几何研究所”(SGI) 的为期 6 周的项目提供支持，该研讨会旨在通过与该学科顶尖研究人员的沉浸式互动，向广大学生介绍几何处理研究。 学院将于2021年7月19日至8月28日在线举行；更多信息可在其网站 (http://geometry.institute) 上找到。 总体而言，SGI旨在实现以下目标：（1）激发学生和研究人员在几何处理方面的广泛合作，（2）启动几何处理方面的大学间研究项目，涉及不同级别的团队成员（本科生，研究生，教师，工业研究员），（3）向学生介绍几何处理研究和开发，以及（4）使进入几何处理研究的学生“渠道”多样化， 性别、种族、社会经济背景和家庭机构。该研究所的第一周将对本科生和硕士生参与者进行最先进的几何处理技术培训，这是他们第一次接触这一学科。 然后，在剩下的几周里，学生团队合作研究问题，目标是探索高年级与会者建议的方向。 除了这些为期一天的互动之外，参观者还将就前沿领域进行演讲并主持相关教程。 学生参加六周的机会成本将由研讨会承担。 作为一门学科，几何处理在制造/加工、计算机视觉、物理模拟和高性能计算的实际考虑的推动下提出了重大的理论挑战。 参与者将接触并推进最先进的技术问题，从离散微分几何工具包的开发到形状处理流程中概率/不确定性的结合。 参与几何处理研究还可以让数学学生在更具体的环境中接触微分几何等领域，并结合计算机可视化和具有直接影响的具体应用。 我们的研讨会旨在解决几何处理中的几个具体挑战，包括开发稳健的几何处理算法、设计高通量形状分析方法、设计用于理解和处理建立在微分/代数几何基础上的几何的合理机器学习架构，以及将机械从几何处理扩展到更高维度的问题。该奖项反映了 NSF 的法定使命 通过使用基金会的智力优点和更广泛的影响审查标准进行评估，并被认为值得支持。