With the advent of the era of intelligent technology, the importance of image detection in public security operations has become more and more prominent. Image intelligence analysis is essential to restore crime scenes. However, in the actual image intelligence collection process, image defects and damage are inevitable. A tensor chain decomposition algorithm based on stochastic gradient descent was introduced to repair damaged image information. Research shows that this method can effectively repair damaged image information, retrieve the lost data, and reduce computational complexity. This work provides good conditions for subsequent analysis work, reduces intelligence errors, and improves the efficiency of police work.