Bayesian regularization restoration algorithm for photon counting images

• DOI: 10.1007/s10489-020-02175-4
• Publication Date: 2021-01-19T22:02:37Z
• Authors: Ying Li; Liju Yin; Zhenzhou Wang; Jinfeng Pan; Mingliang Gao; Guofeng Zou; Jiansi Liu; Lei Wang
• Keywords: 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology

The photon counting image collected under 10− 4 lux environment has a degraded image quality due to background noises and other problems. Bayesian estimation is a classical approach for photon counting image restoration and regularization has also been widely used in image processing. However, the regularization method is not suitable for photon counting images with extremely lack of information, and the recovery effect of Bayesian estimation in images mixed with unknown noise is not ideal. The main contribution of this paper is that on the basis of Bayesian estimation, the regularization method is introduced to solve the problem of restoring photon counting images mixed with unknown noise under 10− 4 lux environment. The original part is that the gamma distribution of the expected value of photon counting is used as its prior condition, and the error function is expressed as the form of the norm to establish the objective function. Through an approximate iterative solution, the optimal estimation of the photon counting expectation is carried out to achieve the optimal restoration of the photon counting image. Experiments demonstrate that the background noise is effectively removed and the image quality is improved after restoring photon counting images. Also, the final result of the proposed method is superior to other comparative methods in multiple evaluation indexes and achieved better effects.