Algebraic Geometry and Computational Algebraic Geometry for Image Database Indexing, Image Recognition, and Computer Vision

用于图像数据库索引、图像识别和计算机视觉的代数几何和计算代数几何

• 批准号: 9508742
• 负责人: Peter Stiller
• 金额: $ 7.1万
• 依托单位: Texas A&M Research Foundation
• 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: 1995-09-01 至 1999-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9508742&HistoricalAwards=false
• 关键词: Algebraic; Geometry; Computational; Image; Database

9508742 Stiller The University-Industry Cooperative Research Programs in the Mathematical Sciences are programs designed to establish a mechanism for exchange of mathematical scientists between academia and industry at different stages of their careers. These programs will strengthen the links between industry and academia and identify and encourage new avenues of research in the mathematical sciences. The University-Industry Postdoctoral Research Fellowships provide two years of support for recent recipients of doctoral degrees in the mathematical sciences. These awards are a means of contributing to the future vitality of the scientific effort of the nation. The postdoctoral fellow will work closely with scientific advisors from both academia and industry. The Postdoctoral researcher will be engaged in a joint research effort that unites researchers at Texas A&M University with a group at the David Sarnoff Research Center in Princeton, New Jersey. The research will focus on the application of techniques in algebraic geometry, notably geometric invariant theory, and computational algebraic geometry to problems in image recognition, image database indexing for content-based retrieval, and computer vision. The fellow will do original research to develop a theory of equivariant correspondences coming out of questions motivated by problems in relating 3- D objects to 2-D images and vice versa. The work will involve the design of algorithms to implement the results, as well as an analysis of their robustness with respect to geometric variation.

小行星9508742 数学领域的产学研合作研究 科学是旨在建立数学交流机制的计划。 学术界和工业界之间的科学家在他们职业生涯的不同阶段。这些 计划将加强工业界和学术界之间的联系，并确定和 鼓励数学科学研究的新途径。大学与产业 博士后研究奖学金为最近的获奖者提供两年的支持， 数学科学博士学位。这些奖项是一种贡献的手段 国家未来的科学活力。博士后将 与学术界和工业界的科学顾问密切合作。 博士后研究员将从事联合研究工作， 德克萨斯农工大学的研究人员和大卫萨尔诺夫研究中心的一个小组 在新泽西的普林斯顿 该研究将集中在技术的应用， 代数几何，特别是几何不变理论，计算代数 以几何问题为基础的图像识别、图像数据库内容索引 检索和计算机视觉。 他将进行原创性研究， 等变对应来自于将三维物体与二维图像联系起来的问题，反之亦然。 这项工作将涉及算法的设计， 实现结果，并分析其相对于几何的鲁棒性 变化量