Fig. 1.

The effect of Fourier-reweighting on AC-SOFI images generated from a simulated data set. Upper panel: Conventional AC-SOFI approach for orders 2, 3 and 4 resp. Lower panel: Fourier-reweighted (using the Gaussian approximation of the PSF) AC-SOFI images featuring an increased resolution as compared to their untreated counterparts in the top panel. The AC-SOFI images shown have been generated using a Gaussian approximation for the PSF as derived from cross-cumulants as will be described later in this paper. Inset: Relative FWHM of the original image PSF versus the recovered SOFI PSF as a function of the cumulant order. Lines represent the theoretical value, circles represent the values obtained by a 2D-Gauss fit of the emitter indicated by the white arrow in the original image. Blue: Values obtained from the untreated AC-SOFI images from the upper panel generated using solely Eq. (4). Red: Values for Fourier-reweighted SOFI images following Eq. (5) and (6) by using the exact PSF (i.e. certain Bessel function of the first kind). Black: Values obtained by using a Gaussian approximation of the PSF as mentioned above in this caption. Scalebar: 1 µm.