A modified coherent diffraction algorithm based on the total variation algorithm for insufficient data

X-ray coherent diffraction imaging (CDI) is a lensless imaging technology. Its basic principle is to illuminate an isolated sample with a highly coherent X-ray beam, then collect the information of the coherent diffraction pattern in the far field, and last restore the real structure information of the sample from the diffraction pattern by using the the CDI algorithm. Due to the limitation of experimental technology experimental data are usually defective, thus tolerance to noise and missing data is an important indicator for the CDI algorithm. Here a modified coherent diffraction algorithm by adding the total variation (TV) constraint into the CDI reconstruction algorithm was developed to improve the tolerance to noise and missing data. Then the performance of the modified coherent diffraction algorithm based on the total variation algorithm was verified using simulation data and experimental data. The results show the modified algorithm can accelerate convergence and improve the tolerance to noise and missing data.