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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 areperformed using images degraded by a point spread function (PSF) and Gaussiannoise. The j-th column of the system matrix () is calculated by convolving theimage with unity at pixel j and zero at all other pixels and the PSF. Thesimulation studies show that the mean structural similarity index is maximalwhen is approximately 10 to 20, where , with and being the transpose of A andthe observed data, respectively. The restored image became blurred with adecrease in . This study will be useful for identifying optimal parametervalues in the ADMM when applied to medical image restoration.

Alternating direction method of multipliers applied to medical image restoration