天元数学交流项目“光声与超声联合成像中的相关反演理论及其算法的研究”

This Tian Yuan Mathematical Exchange Program’s theme is the combined inversion of photoelectric imaging and ultrasound imaging. We will manly study the relevant inverse theory and fast algorithm. Some top international researchers in the fields of photoacoustic imaging and ultrasound imaging will be invited to give the talks in the workshop. We will also invite the talent researchers, who are working on the inverse scattering and fast algorithms, attend the workshop. It is hoped that the participants will understand and discuss the actual background of the problem and the current difficulties encountered. Our research plan is as follows: 1. By ultrasound imaging technology, the rough information for the media can be obtained. 2. We can use the rough media information obtained from ultrasound imaging in the source term inversion of photoacoustic imaging. Because this combined inversion can complement the advantages of the two inversion methods, it is expected that more clear and stable imaging will be achieved.

天元数学交流项目将以光声成像和超声成像的联合反演作为主题，研究相关的反问题的理论和快速算法。将邀请国内外的从事光声成像和超声成像的顶尖学者做学术报告，聚集国内从事逆散射问题研究的学者对该问题的实际背景和目前遇到的难点进行比较深入的研讨。争取在一些关键的技术和快速算法上取得一些共识。我们的研究方案是：1. 利用超声成像技术，得到介质的信息。2. 将从超声成像中得到的介质信息用到光声成像的源项反演中。由于这种联合反演可以将两种反演方法的优点进行互补，可望得到更加清晰和稳定的成像。

2018年8月13日-16日，“Tianyuan Workshop on Mathematical and Computational Challenges of Medical Imaging and Inverse Problems” 上海财经大学国定路校区行政楼一楼报告厅举行。本次会议由上海财经大学主办，复旦大学协办，研讨会由国家自然科学基金数学天元基金，上海财经大学和复旦大学资助。.本次会议主要围绕最新医学成像特别是光声成像和超声成像及其相关反问题，邀请中美日俄从事光声成像和超声成像的顶尖学者，集中开展学术研讨会，其中国内特邀报告12个，国外特邀报告10个，注册参加人数共计70人。并组织“Challenges of Medical Imaging and Inverse Problems”主题讨论一次，对相关问题的实际背景和目前遇到的难点进行比较深入的研讨，在一些关键的技术和快速算法上取得一些共识。