title: Joint Reconstruction Strategy for Structured Illumination Microscopy With Unknown Illuminations.
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.
authors.forename: Simon
authors.initials: S
authors.lastname: Labouesse
authors.forename: Awoke
authors.initials: A
authors.lastname: Negash
authors.forename: Jerome
authors.initials: J
authors.lastname: Idier
authors.forename: Sebastien
authors.initials: S
authors.lastname: Bourguignon
authors.forename: Thomas
authors.initials: T
authors.lastname: Mangeat
authors.forename: Penghuan
authors.initials: P
authors.lastname: Liu
authors.forename: Anne
authors.initials: A
authors.lastname: Sentenac
authors.forename: Marc
authors.initials: M
authors.lastname: Allain