Toeplitz-Circulant-Block phase mask matrices are proposed to implement image acquisition based on Toeplitz and Circulant matrices. Simulation results show that novel phase mask matrices can effectively capture the information of image with a significant reduction of measurements. The new research of phase mask matrices provides more supports for deterministic measurement in the application of compressive imaging. Due to its specific structure, the proposed matrices have more advantages than Toeplitz and Circulant matrices, reduce the difficulty and costs of the physical realization, and provide some theoretical, computing and technical support for new design of camera.