题  目：Nonconvex weighted variational metal artifacts removal via convergent primal-dual algorithms

内容简介：Direct reconstruction through filtered back projection engenders metal artifacts in polychromatic computed tomography images, attributed to highly attenuating implants, which further poses great challenges for subsequent image analysis. Inpainting the metal trace directly in the Radon domain for the extant variational method leads to strong edge diffusion and potential inherent artifacts. With normalization based on pre-segmentation, the inpainted outcome can be notably ameliorated. However, its reconstructive fidelity is heavily contingent on the precision of the pre-segmentation, and highly accurate segmentation of images with metal artifacts is non-trivial in actuality. In this paper, we propose a nonconvex weighted variational approach for metal artifact reduction. Specifically, in lieu of employing a binary function with zeros in the metal trace, an adaptive weight function is designed in the Radon domain, with zeros in the overlapping regions of multiple disjoint metals as well as areas of highly attenuated projections, and the inverse square root of the measured projection in other regions. A nonconvex regularization term is incorporated to further enhance edge contrast, alongside a box-constraint in the image domain. Efficient first-order primal-dual algorithms, proven to be globally convergent and of low computational cost owing to the closed-form solution of all subproblems, are devised to resolve such a constrained nonconvex model. Simulation experiments are conducted with comparisons to other variational algorithms, validating the superiority of the presented method. Especially in comparison to the reweighted JSR, our proposed algorithm can curtail the total computational cost to at most one-third, and for the case of inaccurate pre-segmentation, the recovery outcomes by the proposed algorithms are notably enhanced.

报告人：常慧宾

报告人简介：天津师范大学数学科学学院，研究员，主要研究领域为计算光学、医学图像处理及高性能计算。2012年博士毕业于华东师范大学，2012年-2013年在香港浸会大学从事博士后研究工作，2016年-2019年访问美国劳伦斯伯克利国家实验室。

时  间：2023年11月15日（周三）晚上20：30 开始

地  点：腾讯会议：870-549-992

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