Joint reconstruction strategy for structured illumination microscopy with unknown illuminations

Simon Labouesse (1) , Marc Allain (2, 1) , Jérôme Idier (3) , Awoke Negash (1) , Thomas Mangeat (4) , Penghuan Liu (5) , Anne Sentenac (1) , Sébastien Bourguignon (5)

1 FRESNEL - Institut FRESNEL
2 COMiX - Coherent Optical Microscopy and X-rays
3 LS2N - Laboratoire des Sciences du Numérique de Nantes
4 UT3 - Université Toulouse III - Paul Sabatier
5 LS2N - Laboratoire des Sciences du Numérique de Nantes

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

Domaines: Analyse de données, Statistiques et Probabilités [physics.data-an]

Simon Labouesse, Marc Allain, Jérôme Idier, Awoke Negash, Thomas Mangeat, et al.. Joint reconstruction strategy for structured illumination microscopy with unknown illuminations. IEEE Transactions on Image Processing, 2017, 26 (5), pp.2480-2493. ⟨10.1109/TIP.2017.2675200⟩. ⟨hal-01554090⟩