Computational and Discrete Geometry

计算和离散几何

• 批准号: CRC-2016-00027
• 负责人: Bezdek, Karoly
• 金额: $ 14.57万
• 依托单位: University of Calgary
• 依托单位国家: 加拿大
• 项目类别: Canada Research Chairs
• 财政年份: 2020
• 资助国家: 加拿大
• 起止时间: 2020-01-01 至 2021-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=695616
• 关键词: Computational; Discrete; Geometry

The research program proposed by Dr. Karoly Bezdek (U of C) belongs to the broad area of discrete (resp., computational) geometry. He proposes to continue the research work of his previous CRC term on topics such as separable ball packings, ball-polyhedra, and non-separable arrangements of convex bodies. On the other hand, he plans to work on fundamentally new research directions as well including crystallization via soft ball packings, combinatorial X-raying, and volumetric geometry of molecules. Along the way, a number of longstanding conjectures are targeted with a combination of methods from discrete, convex, and differential geometry, geometric analysis, and probability.

Karoly Bezdek博士（C）提出的研究计划属于离散（分别，计算）几何形状的广泛领域。他建议继续他以前的CRC术语的研究工作，包括可分离球包装，球polyhedra和凸面的不可分割的安排。另一方面，他计划在根本上进行新的研究方向工作，包括通过软球包装，组合X射线和分子的体积几何形状进行结晶。一路上，许多长期的猜想是通过离散，凸和差异几何形状，几何分析和概率组合的组合。