Joint Reconstruction Strategy for Structured Illumination Microscopy With Unknown Illuminations.

Labouesse, Simon; Negash, Awoke; Idier, Jerome; Bourguignon, Sebastien; Mangeat, Thomas; Liu, Penghuan; Sentenac, Anne; Allain, Marc · IEEE Trans Image Process · 2017

basic_science · Level V

Where this comes from

Abstract

The blind structured illumination microscopy strategy proposed by Mudry et al. 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.