MSPA-MCS: Geometric Harmonic Analysis for 3D Digital Content Creation

MSPA-MCS：用于 3D 数字内容创建的几何谐波分析

• 批准号: 0528204
• 负责人: Holly Rushmeier
• 金额: --
• 依托单位: Yale University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-08-15 至 2009-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0528204&HistoricalAwards=false
• 关键词: MSPA; MCS; Geometric; Harmonic; Analysis

AbstractThe difficulty of creating digital models is limiting productivity in computer graphics applications, and is impeding the use of computer graphics in promising new areas of analysis and education. This interdisciplinary research project explores the development of next-generation digital modeling tools based on geometric harmonic analysis, a promising new area in applied mathematics. Novel contributions of this work include the modeling of the interaction of material appearance and object shape; new methods toorganize object and material features; and powerful controls for defining well controlled complex shapes. The application of geometric harmonic analysis to data sets and problems in computer graphics provides opportunity to spur new developments in this growing area of applied mathematics. Improved methods for 3D digital content creation have the potential to improve productivity in industrial applications, such as consumer product design, training simulations, feature film animation and computer games, and to facilitate the application of visual simulation and analysis to emerging application areas, such as cultural heritage study and education.Specifically, geometric harmonic analysis techniques are applied to object descriptions obtained by 3D scanning and digital photography, and by numerical simulation of complex phenomena. The goal is to identify relevant features in the object data that relate the geometry with the material properties. Different aspects of physical objects -- shape features, variation of surface properties with shape, small-scale structures andreflectances -- are separated and organized in a natural way to repurpose existing data as starting point for new design. Initial experiments have identified promising data sets for examining material and geometryrelationships, and have demonstrated how geometric harmonic analysis tools enable creation of a rich set of shapes with little user input. Multiple types of data sets and analysis are examined and evaluated for theirusefulness in building a comprehensible system for digital content creation.

摘要创建数字模型的困难限制了计算机图形应用程序的生产力，并且阻碍了计算机图形在有希望的新的分析和教育领域。这个跨学科研究项目探讨了基于几何谐波分析的下一代数字建模工具的开发，几何谐波分析是一个有希望的应用数学领域。这项工作的新贡献包括对材料外观和物体形状相互作用的建模；新方法TOORMING对象和材料特征；以及定义良好控制复杂形状的强大控制。几何谐波分析应用于数据集和计算机图形问题的问题为刺激这个不断增长的数学领域的新发展提供了机会。改进的3D数字内容创建方法有可能提高工业应用中的生产率，例如消费者产品设计，培训模拟，故事片动画和计算机游戏，并促进视觉模拟和分析在新兴应用领域中的应用，例如文化遗产研究和教育，例如，诸如文化遗产研究和教育。现象。目的是确定将几何形状与材料属性相关联的对象数据中的相关特征。物理对象的不同方面 - 形状特征，具有形状的表面特性的变化，小规模结构和反射性 - 以自然的方式分离和组织，以重新利用现有数据作为新设计的起点。最初的实验已经确定了检查材料和几何相关的有希望的数据集，并证明了几何谐波分析工具如何使能够在很少的用户输入的情况下创建一组丰富的形状。对多种类型的数据集和分析进行了检查，并评估了它们在为数字内容创建的可理解系统构建可理解的系统时的使用。