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Physics > Medical Physics

arXiv:2107.01653 (physics)
[Submitted on 4 Jul 2021 ]

Title: Alternating direction method of multipliers applied to medical image restoration

Title: 交替方向乘子法在医学图像恢复中的应用

Authors:Kenya Murase
Abstract: We investigate the effects of the regularization parameter for the norm () and penalty parameter () in the alternating direction method of multipliers (ADMM) on the quality of restored medical images. Simulation studies are performed using images degraded by a point spread function (PSF) and Gaussian noise. The j-th column of the system matrix () is calculated by convolving the image with unity at pixel j and zero at all other pixels and the PSF. The simulation studies show that the mean structural similarity index is maximal when is approximately 10 to 20, where , with and being the transpose of A and the observed data, respectively. The restored image became blurred with a decrease in . This study will be useful for identifying optimal parameter values in the ADMM when applied to medical image restoration.
Abstract: 我们研究了乘子交替方向法(ADMM)中关于恢复医学图像质量的范数()正则化参数和惩罚参数()的影响。利用由点扩散函数(PSF)和高斯噪声退化的图像进行了仿真研究。系统矩阵()的第j列通过将图像与单位像素j处为1、其他所有像素为0的图像卷积,并与PSF卷积计算得到。仿真研究表明,当约为10到20时,结构相似性指数均值达到最大,其中和分别是A和观测数据的转置。随着的减少,恢复的图像变得模糊。本研究将有助于确定ADMM在医学图像恢复应用中的最优参数值。
Subjects: Medical Physics (physics.med-ph) ; Image and Video Processing (eess.IV)
Cite as: arXiv:2107.01653 [physics.med-ph]
  (or arXiv:2107.01653v1 [physics.med-ph] for this version)
  https://doi.org/10.48550/arXiv.2107.01653
arXiv-issued DOI via DataCite

Submission history

From: Kenya Murase [view email]
[v1] Sun, 4 Jul 2021 14:39:23 UTC (667 KB)
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