English

Joint reconstruction strategy for structured illumination microscopy with unknown illuminations

Data Analysis, Statistics and Probability 2017-04-26 v4

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

Keywords

Cite

@article{arxiv.1607.01980,
  title  = {Joint reconstruction strategy for structured illumination microscopy with unknown illuminations},
  author = {Simon Labouesse and Awoke Negash and Jérôme Idier and Sébastien Bourguignon and Thomas Mangeat and Penghuan Liu and Anne Sentenac and Marc Allain},
  journal= {arXiv preprint arXiv:1607.01980},
  year   = {2017}
}

Comments

Accepted in IEEE Transaction on Image Processing

R2 v1 2026-06-22T14:48:09.304Z