Motion-corrected Fourier Ghost Imaging based on phase compensation

The image quality of traditional computed ghost imaging is largely affected by the motion state of the target. When the target moves more than one pixel in the adjacent sampling interval, the image quality will decrease rapidly. Especially when the motion status of the target is unknown, high quality imaging will become difficult. To overcome the problem, we propose a simple and reliable method of imaging the moving target based on the reconstruction of Fourier Ghost Imaging (FGI) and phase compensation. The method uses the Fourier positioning patterns to estimate the displacement trajectory of the object followed by phase compensation of the spectrum. It combines the conjugate symmetry and sparsity properties of the Fourier spectrum to directly reconstruct the reasonable image of a moving object at low sampling rates, which saves time and computation. Simulation results show that the method does not require excessive priori knowledge and can achieve imaging of an object in different states of motion.