COL0RME: Super-resolution microscopy based on sparse blinking/fluctuating fluorophore localization and intensity estimation

To overcome the physical barriers caused by light diffraction, super-resolution techniques are often applied in fluorescence microscopy. State-of-the-art approaches require specific and demanding acquisition conditions to achieve adequate levels of both spatial temporal resolution. Analyzing stochastic fluctuations fluorescent molecules provides a solution aforementioned limitations, as sufficiently high spatio-temporal resolution for live-cell imaging can be achieved using common microscopes conventional dyes. Based on this idea, we present COL0RME, method COvariance-based $\ell_0$ super-Resolution Microscopy with intensity Estimation, which achieves good solving sparse optimization problem covariance domain discuss automatic parameter selection strategies. The is composed two steps: former where emitters' independence distribution exploited provide an accurate localization; latter real values estimated given computed support. paper furnished several numerical results synthetic microscopy images comparisons state-of-the art provided. Our show that COL0RME outperforms competing methods exploiting analogously fluctuations; particular, it better localization, reduces background artifacts avoids fine tuning.