One year in National Weather Center: Mathematical theory in radar image

该奖项是根据2009年美国复苏和再投资法案（公法111-5）资助的。PI将在俄克拉荷马大学校园内的国家气象中心（NWC）度过一个学年。PI将获得雷达数据采集和解释方面的经验，并加强与NWC研究人员的合作。拟议的研究建立在PI在几何流动研究方面的专业知识的基础上。最近，PI和他的合作者已经成功地为一维简单曲线引入了保形几何流，以及其他几何流，预计将应用于NWC的问题。图像的非线性分解也将被研究，这项工作可能导致更有效地表示天气现象。PI将利用在NWC的经验开发一门关于图像分析数学理论的新课程。本科生和研究生也将有新的机会进行跨学科研究。

This award is funded under the American Recovery and Reinvestment Act of 2009 (Public Law 111-5).The PI will spend one academic year at the National Weather Center (NWC), on the campus of the University of Oklahoma. The PI will gain experience in the acquisition and interpretation of radar data, and enhance his collaborations with researchers at NWC. The proposed research builds upon the expertise of the PI in the study of geometric flows. Recently, the PI and his collaborators have successfully introduced conformal geometric flows for one dimensional simple curves, as well as other geometric flows, that are expected to have applications to problems at NWC. The nonlinear decomposition of images will also be studied, and this work may lead to more efficient representations of weather phenomena.The PI will use this experience at NWC to develop a new course on the mathematical theory of image analysis. There will also be new opportunities for interdisciplinary research for undergraduate and graduate students.