Geometry Processing

几何处理

• 批准号: CRC-2016-00122
• 负责人: Jacobson, Alec
• 金额: $ 8.74万
• 依托单位: University of Toronto
• 依托单位国家: 加拿大
• 项目类别: Canada Research Chairs
• 财政年份: 2021
• 资助国家: 加拿大
• 起止时间: 2021-01-01 至 2022-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=729801
• 关键词: Geometry; Processing

Geometry processing interprets three-dimensional curves and surfaces as signals. Like audio and image data, geometric data has exploded in availability. Unlike audio and images, geometry is not seeing the full application of big data analytics and modern machine learning. The core roadblock is lack of ro- bustness in the geometry processing toolbox. Prof. Jacobson will bring geometry processing up to speed via three parallel but complementary tracks:1. Robust algorithms for recovering structure from unstructured, noisy geometric representations;2. Robust numerical methods for solving partial differential equations on real-world geometric data; and3. Robust user interfaces for direct manipulation and creation of geometric data.

几何处理将三维曲线和曲面解释为信号。与音频和图像数据一样，几何数据的可用性也呈爆炸式增长。与音频和图像不同，几何并没有充分应用大数据分析和现代机器学习。最核心的障碍是几何处理工具箱中缺乏健壮性。雅各布森教授将通过三个平行但互补的途径提高几何处理的速度：1.从非结构化、噪声的几何表示中恢复结构的稳健算法；2.求解真实世界几何数据上的偏微分方程组的稳健数值方法；以及3.强大的用户界面，用于直接操作和创建几何数据。