Joint reconstruction strategy for structured illumination microscopy with unknown illuminations

Abstract : 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
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Simon Labouesse, Marc Allain, Jérôme Idier, Sébastien Bourguignon, Awoke Negash, et al.. Joint reconstruction strategy for structured illumination microscopy with unknown illuminations. IEEE Trans.Image Process., 2017, 26 (5), pp.2480-2493. ⟨10.1109/TIP.2017.2675200⟩. ⟨hal-01554090⟩

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