Computational microscopy plays a vital role in imaging science as it helps to solve large and diverse groups of inverse problems. Many scientists believe that the computational lens can help to improve resolutions and overcome physical lens resolution via optimization techniques. In this talk, we briefly overview algorithms and address difficulties in widespread computational microscopy problems such as phase retrieval with missing data, in-situ coherent diffractive imaging, and super-resolution in ptychography/holography. We also address challenging problems, including 4D tomography and space-time signal reconstruction.
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