In this paper, a speckle recovery algorithm for light through scattering media that can achieve focusing at any position in a large field of view is proposed. The transmission matrix of the scattering medium is measured and binarized by simulating the optical path, and the digital micro-mirror device is used to modulate the binary amplitude of the incident light to achieve single-point or multi-point focusing through the scattering medium. Due to the independence of different focus positions, the algorithm can achieve large field-of-view focusing at any position. The simulation results show that the intensity enhancement factor of the focus position increases with the increase in the sampling number. Compared with the traditional three-step phase shift method, an enhancement ratio of 55% can be obtained by the proposed algorithm when the number of sampling is reduced by 1/3, which is 12% higher than that by the three-step phase shift method. The proposed algorithm exhibits great significance for realizing large field-of-view scanning and focusing through the scattering medium, making it applicable in the field of biomedical imaging.