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      Wide-field, high-resolution Fourier ptychographic microscopy

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          Abstract

          In this article, we report an imaging method, termed Fourier ptychographic microscopy (FPM), which iteratively stitches together a number of variably illuminated, low-resolution intensity images in Fourier space to produce a wide-field, high-resolution complex sample image. By adopting a wavefront correction strategy, the FPM method can also correct for aberrations and digitally extend a microscope’s depth-of-focus beyond the physical limitations of its optics. As a demonstration, we built a microscope prototype with a resolution of 0.78 μm, a field-of-view of ~120 mm 2, and a resolution-invariant depth-of-focus of 0.3 mm (characterized at 632 nm). Gigapixel colour images of histology slides verify FPM’s successful operation. The reported imaging procedure transforms the general challenge of high-throughput, high-resolution microscopy from one that is coupled to the physical limitations of the system’s optics to one that is solvable through computation.

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          Most cited references53

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          Surpassing the lateral resolution limit by a factor of two using structured illumination microscopy.

          Lateral resolution that exceeds the classical diffraction limit by a factor of two is achieved by using spatially structured illumination in a wide-field fluorescence microscope. The sample is illuminated with a series of excitation light patterns, which cause normally inaccessible high-resolution information to be encoded into the observed image. The recorded images are linearly processed to extract the new information and produce a reconstruction with twice the normal resolution. Unlike confocal microscopy, the resolution improvement is achieved with no need to discard any of the emission light. The method produces images of strikingly increased clarity compared to both conventional and confocal microscopes.
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            Surpassing the lateral resolution limit by a factor of two using structured illumination microscopy. SHORT COMMUNICATION

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              Phase retrieval algorithms: a comparison

              J Fienup (1982)
              Iterative algorithms for phase retrieval from intensity data are compared to gradient search methods. Both the problem of phase retrieval from two intensity measurements (in electron microscopy or wave front sensing) and the problem of phase retrieval from a single intensity measurement plus a non-negativity constraint (in astronomy) are considered, with emphasis on the latter. It is shown that both the error-reduction algorithm for the problem of a single intensity measurement and the Gerchberg-Saxton algorithm for the problem of two intensity measurements converge. The error-reduction algorithm is also shown to be closely related to the steepest-descent method. Other algorithms, including the input-output algorithm and the conjugate-gradient method, are shown to converge in practice much faster than the error-reduction algorithm. Examples are shown.
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                Author and article information

                Journal
                101283276
                34862
                Nat Photonics
                Nat Photonics
                Nature photonics
                1749-4885
                1749-4893
                4 September 2014
                28 July 2013
                1 September 2013
                19 September 2014
                : 7
                : 9
                : 739-745
                Affiliations
                Electrical Engineering, California Institute of Technology, Pasadena, CA 91125, USA
                Author notes
                [* ]Correspondence should be addressed to: gazheng@ 123456caltech.edu
                Article
                NIHMS497585
                10.1038/nphoton.2013.187
                4169052
                25243016
                a4a54579-25ff-4993-97cf-5764a5559d56

                Users may view, print, copy, download and text and data- mine the content in such documents, for the purposes of academic research, subject always to the full Conditions of use: http://www.nature.com/authors/editorial_policies/license.html#terms

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                Categories
                Article

                Optical materials & Optics
                gigapixel microscopy,high-throughput imaging,phase retrieval,digital pathology

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