Abstract

We propose a computational ghost imaging (CGI) scheme based on a rearranged Hadamard matrix (HCGI). A decomposition method is first introduced to construct a speckle pattern sequence that can be displayed on the digital micromirror device. Then a speckle pattern sequence rearrangement method is proposed, which makes the large intensity fluctuation values concentrate on the front part of the intensity fluctuation sequence. Finally, a HCGI model is established and a series of numerical experiments are conducted. The influence of intensity fluctuations on HCGI is studied and analyzed by comparing the numerical results which are respectively recovered by the proposed method and fast Walsh–Hadamard transform. The results demonstrate that large intensity fluctuation values play the key role in HCGI and provide maximum contribution to high quality imaging. The proposed method provides a way to improve the imaging quality and speed of CGI from the perspective of intensity fluctuations.

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