We report a deep learning-based virtual image refocusing method that utilizes double-helix point-spread-function (DH-PSF) engineering and a cascaded neural network model, termed W-Net. This method can virtually refocus a defocused fluorescence image onto an arbitrary axial plane within the sample volume, enhancing the imaging depth-of-field and lateral resolution at the same time. We demonstrated the efficacy of our method by imaging fluorescent nano-beads at various defocus distances, and also quantified the nano-particle localization performance achieved with our virtually-refocused images, demonstrating ~20-fold improvement in image depth-of-field over wide-field microscopy, enabled by the combination of DH-PSF and W-Net inference.
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