Fig. 1.

The forward model of structured illumination microscope. On the left we show the microscope measurement g, and on the right we depict the sensing process. The mathematical formulation is demonstrated in Equation (4). H is the point spread function matrix served as the blur kernel. ${\left\{{\mathbf{S}}_{\mathbf{i}}\right\}}_{i=1}^{N_T}$ are the structured illumination matrix and ${\left\{{\mathbf{f}}_{\mathbf{i}}\right\}}_{i=1}^{N_T}$ are the signal intensity from the object at different time slots. Each frame of the scene is first encoded via the structured illumination matrix and then the measurement is convoluted by the point spread function.