Ring Deconvolution Microscopy: An Exact Solution for Spatially-Varying Aberration Correction (2206.08928v3)

Abstract: The most ubiquitous form of computational aberration correction for microscopy is deconvolution. However, deconvolution relies on the assumption that the point spread function is the same across the entire field-of-view. It is well recognized that this assumption is often inadequate, but space-variant deblurring techniques generally require impractical amounts of calibration and computation. We present a new imaging pipeline, ring deconvolution microscopy (RDM), that leverages the rotational symmetry of most optical systems to provide simple and fast spatially-varying aberration correction. We formally derive theory and algorithms for exact image recovery and additionally propose a neural network based on Seidel coefficients as a fast alternative. We showcase significant enhancements both visually and quantitatively compared to standard deconvolution and existing spatially-varying deconvolution across a diverse range of microscope modalities, including miniature microscopy, multicolor fluorescence microscopy, and point-scanning multimode fiber micro-endoscopy. Our approach enables near-isotropic, subcellular resolution in each of these applications.