Numerical simulation of surface reconstruction, inverse problems and differential equations in applications

表面重构、反问题和微分方程的数值模拟应用

• 批准号: 4306-2011
• 负责人: Ascher, Uri
• 金额: $ 2.4万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2014
• 资助国家: 加拿大
• 起止时间: 2014-01-01 至 2015-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=544182
• 关键词: Numerical; simulation; surface; reconstruction; inverse

The general objective of my research is to develop efficient and reliable computational methods and software for models involving surface reconstruction, inverse problems and differential equations (DEs). The focus is on methods for constrained DEs and optimization problems, such as those arising in 3D digital geometry, image processing, virtual reality simulations and distributed parameter estimation. I am also interested in conservative methods for time-dependent deterministic and stochastic DEs. While my research focuses on the transfer of knowledge and expertise among areas of application, emphasis will be placed within this framework on particular instances.

我研究的总体目标是为涉及表面重建、反问题和微分方程（DE）的模型开发高效可靠的计算方法和软件。重点是约束 DE 和优化问题的方法，例如 3D 数字几何、图像处理、虚拟现实模拟和分布式参数估计中出现的问题。我还对依赖时间的确定性和随机 DE 的保守方法感兴趣。虽然我的研究重点是应用领域之间的知识和专业知识的转移，但重点将放在这个框架内的特定实例上。