  Fourier light-field microscopy (FLFM) uses a micro-lens array (MLA) to
segment the Fourier Plane of the microscopic objective lens to generate
multiple two-dimensional perspective views, thereby reconstructing the
three-dimensional(3D) structure of the sample using 3D deconvolution
calculation without scanning. However, the resolution of FLFM is still limited
by diffraction, and furthermore, dependent on the aperture division. In order
to improve its resolution, a Super-resolution optical fluctuation Fourier light
field microscopy (SOFFLFM) was proposed here, in which the Sofi method with
ability of super-resolution was introduced into FLFM. SOFFLFM uses higher-order
cumulants statistical analysis on an image sequence collected by FLFM, and then
carries out 3D deconvolution calculation to reconstruct the 3D structure of the
sample. Theoretical basis of SOFFLFM on improving resolution was explained and
then verified with simulations. Simulation results demonstrated that SOFFLFM
improved lateral and axial resolution by more than sqrt(2) and 2 times in the
2nd and 4th order accumulations, compared with that of FLFM.
