ADMM algorithm for Computational ghost imaging using Hadamard derivative pattern.

Aiming at the problems of long reconstruction time, high sampling rate and poor imaging effect caused by traditional illumination speckle in ghost imaging reconstruction, this paper proposes to use ordered orthogonal Hadamard derived speckle as the illumination speckle series of ghost imaging to reduce the measurement times and improve the quality of reconstructed images. In addition, the alternate direction multiplier method is introduced into the image reconstruction algorithm to further improve the imaging performance of ghost imaging. Finally, the method used in this paper is evaluated objectively, and the evaluation results show that the combination of Hadamard derived speckle and alternating direction multiplication has better imaging effect, and can obtain high-quality reconstructed images under low sampling conditions. It is expected that this method can be applied to target detection and recognition, improve detection and recognition ability, and help users get more useful information. • ADMM algorithm is used to solve the underdetermined equations in ghost imaging. • Reconstruction Hadamard combined with ADMM improves the reconstruction effect. • The proposed method has better reconstruction results at low sampling rates. [ABSTRACT FROM AUTHOR]