Joint Reconstruction Strategy for Structured Illumination Microscopy With Unknown Illuminations

• Published in: IEEE transactions on image processing Vol. 26; no. 5; pp. 2480 - 2493
• Main Authors: Labouesse, Simon, Negash, Awoke, Idier, Jerome, Bourguignon, Sebastien, Mangeat, Thomas, Penghuan Liu, Sentenac, Anne, Allain, Marc
• Format: Journal Article
• Language: English
• Published: United States IEEE 01-05-2017; The Institute of Electrical and Electronics Engineers, Inc. (IEEE); Institute of Electrical and Electronics Engineers
• Subjects: Data Analysis, Statistics and Probability; fluorescence microscopy; Illumination; Image reconstruction; Iterative methods; Lighting; Microscopy; Minimization; near-black object model; Numerical analysis; Physics; proximal splitting; Resolution; Spatial resolution; Speckle; speckle imaging; Super-resolution
• ISSN: 1057-7149; 1941-0042
• DOI: 10.1109/TIP.2017.2675200

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.