Title: on the continuity of images by CT imaging

Abstract: Images by reflection imaging can be well approximated by piecewise constant functions. Thus total variation is an essential tool to regularize this kind of images. In this talk, we show that almost all images generated by CT imaging with both parallel and divergent beam geometries are continuous functions. This indicates the necessity for applying other regularizers with higher order smoothness (such as high order TV and wavelet frames) to process CT images. Numerical experiments will be provided to support our analysis.

简历：吴春林, 南开大学数学院副教授。吴博士于2006年在中国科大获得博士学位，专业计算数学。之后在中国科大，新加坡南洋理工，新加坡国立大学从事博士后研究工作。2012年回国加入到南开大学数学学院。吴博士的研究兴趣在于数值逼近与优化，图像和几何计算等。吴博士在相关领域SCI杂志发表多篇学术论文，其中一些发表在该领域重要杂志比如Siam J. imaging sciences, ACM Tog, IEEE tvcg等。