Research On Object Reconstitution Method Of Ghost Imaging Based On Matrix

Correlated imaging,also known as ghost imaging,as a new imaging method,has broad application prospects and development potential.In more than two decades of research,ghost imaging has received extensive attention for its value and has developed in depth.The theory of ghost imaging has been discussed,and the applications of related fields are also gradually proposed.Research shows that ghost imaging has obvious advantages and value in many fields,and can promote technological progress and social development.The image reconstruction algorithm is the core of the ghost imaging which uses the high order correlation information of the light field to reconstruct the object.Traditional ghost imaging algorithm is difficult to get clear reconstructions of objects in limited measurement times,which is one of the main factors that restrict the application of ghost imaging.The ghost imaging method based on matrix provides a good idea to solve the reconstruction quality problem of ghost imaging.By analyzing the initial characteristic matrix formed by the speckle patterns and modifying it,we can find the path to improve the reconstruction quality.Experimental results show that the reconstruction effect of this kind of method is improved obviously,which means this method deserves further study.Pseudo-inverse Ghost Imaging(PGI)is a ghost imaging method based on matrix.Based on the traditional ghost imaging reconstruction equation,we further analyze its matrix expression.From the reconstruction equation in matrix form,we extract characteristic matrix and analyze its influence on the experimental results.The closer characteristic matrix is to the scalar matrix,the more we can get to make the reconstructed result closer to the original target.The pseudo-inverse is introduced to the characteristic matrix,which has a good effect on the experiment results.Based on the in-depth study of PGI,we further analyze the characteristic matrix,and propose Scalar-matrix-structured Ghost Imaging(SMGI).In SMGI,the characteristic matrix is modified to approximate a scalar matrix,and the effect of the speckle size on the practical experiments is fully considered.The experimental results show that SMGI has better visual effects and higher Peak Signal to Noise Ratio(PSNR)compared with the traditional Ghost Imaging,and Differential Ghost Imaging in the same number of measurement times.In addition,SMGI still performs well in the case of a nonzero two-arm longitudinal difference.In order to further optimize SMGI method,we introduce the threshold into practical calculation.We develop the SMGI method and call it SMGI based on a threshold(SMGI-T).By setting the threshold,we select the most effective part of the speckle patterns obtained from the experiment,and reduce the amount of data needed for reconstruction without reducing reconstruction quality,so as to reduce the demand for computing time.Experimental results show that this method has a simple procedure,a certain degree of maneuverability and a good reconstruction effect.In the real experiment under the pseudo-thermal light source,this method can get a nearly identical reconstruction effect with less data compared with the same method without data filtering.In the face of practical application,this method has obvious value when the computer processing capacity is limited.Research on object reconstitution method of ghost imaging based on matrix is of great significance to the development of ghost imaging.Our research provides reference for the improvement of the reconstruction quality and achieves higher reconstruction quality of objects with fewer measurement times,which is contributing to the further development of ghost imaging.