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

内容簡介：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.

報告人：常慧賓

報告人簡介：天津師範大學數學科學學院，研究員，主要研究領域為計算光學、醫學圖像處理及高性能計算。2012年博士畢業于華東師範大學，2012年-2013年在香港浸會大學從事博士後研究工作，2016年-2019年訪問美國勞倫斯伯克利國家實驗室。

時  間：2023年11月15日（周三）晚上20：30 開始

地  點：騰訊會議：870-549-992

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