Joint reconstruction strategy for structured illumination microscopy   with unknown illuminations
  The blind structured illumination microscopy (SIM) strategy proposed in (Mudry et al., 1992) is fully re-founded in this paper, unveiling the central role of the sparsity of the illumination patterns in the mechanism that drives super-resolution in the method. A numerical analysis shows that the resolving power of the method can be further enhanced with optimized one-photon or two-photon speckle illuminations. A much improved numerical implementation is provided for the reconstruction problem under the image positivity constraint. This algorithm rests on a new preconditioned proximal iteration faster than existing solutions, paving the way to 3D and real-time 2D reconstruction 
Simon Labouesse, Awoke Negash, J\'er\^ome Idier, S\'ebastien   Bourguignon, Thomas Mangeat, Penghuan Liu, Anne Sentenac and ...
physics.data-an