  We propose a 3D super-resolution approach to improve both lateral and axial
spatial resolution in Total Internal Reflectance Fluorescence (TIRF) imaging
applications. Our approach, called 3D-COL0RME (3D - Covariance-based $\ell_0$
super-Resolution Microscopy with intensity Estimation) improves both lateral
and axial resolution by combining sparsity-based modelling for precise molecule
localisation and intensity estimation in the lateral plane with a 3D
reconstruction procedure in the axial one using Multi-Angle TIRF (MA-TIRF).
Differently from state-of-the-art approaches, 3D-COL0RME does not require the
use of special equipment as it can be used with standard fluorophores. We
validate 3D-COL0RME on simulated MA-TIRF blinking-type data and on challenging
real MA-TIRF acquisitions, showing significant resolution improvements.
