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Super-resolution microscopy is a form of advanced optical microscopy that is now being increasingly employed in biological and biomedical researches. Although the techniques to make microscopic images super-resolution can be very different, the principles behind them can all be traced back to a common theme – manipulating the imaging model of a microscope to obtain resolution blow the optical diffraction limit. In this talk, we will first review several super-resolution microscopy techniques in this common theme, and then discuss image restoration method for super-resolution microscopy, which is a computational method that finds a super-resolution solution by solving an inverse problem from one or set of observations of a conventional microscope. Building on our recent work on translation microscopy (TRAM), which a comprehensive image restoration method, we will here present our current research on a new and simpler approach that separates deblurring from denosing during the restoration process. We will discuss the application of this method to various images including biomedical images.