Analytic and Geometric Methods in Inverse Problems and Imaging

反问题和成像中的解析和几何方法

• 批准号: RGPIN-2016-06329
• 负责人: Nachman, Adrian
• 金额: $ 1.97万
• 依托单位: University of Toronto
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635251
• 关键词: Analytic; Geometric; Methods; Inverse; Problems

This proposal seeks to answer some fundamental mathematical questions in the fields of Inverse Problems and Image Processing, as well as to contribute specific applications to Medical Imaging. The field of Inverse Problems studies novel methods to obtain images from noninvasive measurements, for next generation imaging modalities. Image Processing treats images obtained from existing modalities and the mathematics involved in denoising, segmenting, registering and extracting information from them.

该提案旨在回答反问题和图像处理领域的一些基本数学问题，并为医学成像提供具体的应用。反问题领域研究从无创测量中获取图像的新方法，用于下一代成像模式。图像处理处理从现有模式获得的图像以及去噪、分割、注册和从中提取信息所涉及的数学。