CDI-Type I: Fundamental Terrain Representations and Operations

CDI-I 型：基本地形表示和操作

• 批准号: 0835762
• 负责人: Barbara Cutler
• 金额: $ 67万
• 依托单位: Rensselaer Polytechnic Institute
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-09-15 至 2013-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0835762&HistoricalAwards=false
• 关键词: CDI; Type; Fundamental; Terrain; Representations

The project, Fundamental Terrain Representations and Operations, unifies the fields of computational geometry, computer graphics, and civil engineering hydrology, resulting in a transformational ability to predict how erosion occurs, specifically in levee failure by overtopping, and, after a failure, to reverse-simulate what happened.This enables more efficient levee designs and so reduces the frequency and cost of levee failures in the United States. That will result in reduced flood damage in the US, which cost $50,000,000,000 in the 1990s, thereby saving money and lives. This project will continue and expand the PIs' strong track record of involving undergraduate students in research, hosting elementary and high school students and international visitors in their labs, and of involving women and other underrepresented groups. The vehicles include the Research Experience for Undergrads and the Research Experience for Teachers programs, and RPI's own PREFACE program, which hosts high school student from underrepresented groups for two weeks in the summer. It will also expand continuing joint research with a Brazilian collaborator.The project's goals are: a new representation for volumetric terrain, a.k.a. soil, that respects the geophysics of how surface water flows(hydrology) formed it, a better modeling of local erosion in terrain and earthen structures such as levees, an experimental plan for validation in Rensselaer Polytechnic Institute's geotechnical centrifuge, a predictive reverse simulation of earthen levee erosion, a visualization of non-homogeneous terrain erosion, an out-of-core parallel simulation on large terrain datasets, and a collaboration in Brazil. Therefore the accumulated data on past levee erosion will be transformed into knowledge about future erosion. One intellectually novel aspect of this research will be computational geometry representations of volumetric terrain in which the mathematics more closely aligns with the physics.It will not enforce a nonphysical continuity of elevation - cliffs are important in the real world. Even during progressive transmission, it will be hydrologically correct, with few or no interior local minima.Since erosion is not linear (gulleys don't cross each other and their elevations don't `add'), such a representation cannot be linear, and so innovative and compute-intensive techniques are required.

该项目名为“基本地形表示和操作”，统一了计算几何、计算机图形学和土木工程水文学领域，从而具有预测侵蚀如何发生的变革能力，特别是在堤坝漫溢导致的溃坝中，以及在溃堤后逆转的能力。 - 模拟发生的情况。这可以实现更高效的堤坝设计，从而降低美国堤坝故障的频率和成本。 这将减少美国在 20 世纪 90 年代遭受的洪灾损失达 500 亿美元，从而节省金钱和生命。 该项目将继续并扩大 PI 在让本科生参与研究、在实验室接待中小学生和国际访客以及让女性和其他代表性不足的群体参与方面的良好记录。 这些工具包括本科生研究体验项目和教师研究体验项目，以及 RPI 自己的 PREFACE 项目，该项目在夏季接待来自弱势群体的高中生为期两周。 它还将扩大与巴西合作者的持续联合研究。该项目的目标是：体积地形（又称土壤）的新表示，尊重地表水流动（水文学）如何形成它的地球物理学，更好地模拟地形的局部侵蚀和土质结构（如堤坝）、在伦斯勒理工学院岩土离心机中验证的实验计划、土质堤坝侵蚀的预测逆向模拟、非均质地形的可视化侵蚀、大型地形数据集的核外并行模拟以及在巴西的合作。 因此，过去堤坝侵蚀的累积数据将转化为有关未来侵蚀的知识。 这项研究的一个新颖的方面是体积地形的计算几何表示，其中数学与物理更加紧密地结合在一起。它不会强制海拔的非物理连续性——悬崖在现实世界中很重要。 即使在渐进传输过程中，它在水文上也是正确的，很少或没有内部局部最小值。由于侵蚀不是线性的（沟壑不会相互交叉，并且它们的高程不会“相加”），因此这种表示不能是线性的，因此需要创新和计算密集型技术。