A Multi-resolution Approach to Modeling and Visualizing Multi-dimensional Scalar Fieldsu

多维标量场建模和可视化的多分辨率方法

• 批准号: 0541032
• 负责人: Leila DeFloriani
• 金额: $ 30万
• 依托单位: University of Maryland, College Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-09-15 至 2011-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0541032&HistoricalAwards=false
• 关键词: Multi; resolution; Approach; Modeling; Visualizing

The educational component is tightly integrated into the proposed research plan, that includes producingsoftware tools for shape modeling and visualization. We plan to use such tools in graduate courses onComputer Graphics and Geometric Modeling, and distribute them to the scientific community.The intellectualmerit of the proposed research lies in enhancing the power of current tools for analyzingand visualizing time-varying scalar fields through innovative multi-resolution models. This will not onlyreduce the complexity and the size of the resulting representations, but will allow effectively focusing onsalient visualization features. An other important challenge is to enhance multi-resolution representationsthrough the development of new multi-scale morphological models. This will allow designing new out-ofcorerepresentations for multi-dimensional scalar fields and it will also support a hierarchical approach toanalyzing, visualizing and understanding multi-dimensional scientific data sets.The broader impact of the proposed research lies in the analysis, understanding and visualization of large scientific data sets, and of dynamic 3D shapes, thus enhancing innovative research in visualization, computer graphics and visual data mining. Many application fields will highly benefit from this research, including scientific computing, biomedical engineering, surgical simulation, animation, and cultural heritage.

教育部分与拟议的研究计划紧密结合，其中包括用于形状建模和可视化的制作软件工具。我们计划在计算机图形学和几何建模的研究生课程中使用这些工具，并将它们分发给科学界。拟议的研究的智力价值在于通过创新的多分辨率模型增强了现有工具分析和可视化时变标量场的能力。这不仅可以降低表示的复杂性和大小，还可以有效地将重点放在显著的可视化特征上。另一个重要挑战是通过开发新的多尺度形态模型来增强多分辨率表示。这将允许为多维标量场设计新的非相关表示法，并将支持分析、可视化和理解多维科学数据集的分层方法。拟议研究的更广泛影响在于对大型科学数据集和动态3D形状的分析、理解和可视化，从而加强可视化、计算机图形学和可视数据挖掘的创新研究。许多应用领域将从这项研究中受益匪浅，包括科学计算、生物医学工程、手术模拟、动画和文化遗产。