Computational Super-Sectioning for Single-Slice Structured-Illumination Microscopy
E. Soubies, M. Unser
IEEE Transactions on Computational Imaging, in press.
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While structured-illumination microscopy (SIM) is inherently a 3D technique, many biological questions can be addressed from the acquisition of a single focal plane with high lateral resolution. Unfortunately, the single-slice reconstruction of thick samples suffers from defocusing. In this work, however, we take advantage of a 3D model of the acquisition system to derive a reconstruction method out of a single 2D SIM measurement. It enables the estimation of the out-of-focus signal and improves the quality of the reconstruction, without the need of acquiring additional slices. The proposed algorithm relies on a specific formulation of the optimization problem together with the derivation of computationally efficient proximal operators. These developments allow us to deploy an efficient inner-loop-free alternating-direction method of multipliers, with guaranteed convergence.