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Open AccessJournal ArticleDOI

Multiplexed coded illumination for Fourier Ptychography with an LED array microscope.

TLDR
A multiplexed illumination strategy in which multiple randomly selected LEDs are turned on for each image so that the total number of images can be significantly reduced, without sacrificing image quality.
Abstract
Fourier Ptychography is a new computational microscopy technique that achieves gigapixel images with both wide field of view and high resolution in both phase and amplitude. The hardware setup involves a simple replacement of the microscope's illumination unit with a programmable LED array, allowing one to flexibly pattern illumination angles without any moving parts. In previous work, a series of low-resolution images was taken by sequentially turning on each single LED in the array, and the data were then combined to recover a bandwidth much higher than the one allowed by the original imaging system. Here, we demonstrate a multiplexed illumination strategy in which multiple randomly selected LEDs are turned on for each image. Since each LED corresponds to a different area of Fourier space, the total number of images can be significantly reduced, without sacrificing image quality. We demonstrate this method experimentally in a modified commercial microscope. Compared to sequential scanning, our multiplexed strategy achieves similar results with approximately an order of magnitude reduction in both acquisition time and data capture requirements.

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Citations
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Journal ArticleDOI

Phase Retrieval via Wirtinger Flow: Theory and Algorithms

TL;DR: In this article, a nonconvex formulation of the phase retrieval problem was proposed and a concrete solution algorithm was presented. But the main contribution is that this algorithm is shown to rigorously allow the exact retrieval of phase information from a nearly minimal number of random measurements.
Journal ArticleDOI

On the use of deep learning for computational imaging

TL;DR: This paper relates the deep-learning-inspired solutions to the original computational imaging formulation and use the relationship to derive design insights, principles, and caveats of more general applicability, and explores how the machine learning process is aided by the physics of imaging when ill posedness and uncertainties become particularly severe.
Journal ArticleDOI

3D intensity and phase imaging from light field measurements in an LED array microscope

TL;DR: In this article, the Fourier ptychography was used to estimate the 3D complex transmittance function of the sample at multiple depths, without any weak or single-scattering approximations.
Journal ArticleDOI

Deep Learning Techniques for Inverse Problems in Imaging

TL;DR: A taxonomy that can be used to categorize different problems and reconstruction methods in deep neural networks and discusses the tradeoffs associated with these different reconstruction approaches, caveats and common failure modes.
Journal ArticleDOI

Phase Retrieval via Wirtinger Flow: Theory and Algorithms

TL;DR: This paper develops a nonconvex formulation of the phase retrieval problem as well as a concrete solution algorithm that is shown to rigorously allow the exact retrieval of phase information from a nearly minimal number of random measurements.
References
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Journal ArticleDOI

Phase retrieval algorithms: a comparison.

TL;DR: Iterative algorithms for phase retrieval from intensity data are compared to gradient search methods and it is shown that both the error-reduction algorithm for the problem of a single intensity measurement and the Gerchberg-Saxton algorithm forThe problem of two intensity measurements converge.
Journal ArticleDOI

Wide-field, high-resolution Fourier ptychographic microscopy

TL;DR: 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, which can also correct for aberrations and digitally extend a microscope's depth-of-focus beyond the physical limitations of its optics.
Journal ArticleDOI

An improved ptychographical phase retrieval algorithm for diffractive imaging.

TL;DR: The PIE is extended so that the requirement for an accurate model of the illumination function is removed and the technique has been shown to be robust to detector noise and to converge considerably faster than support-based phase retrieval methods.
Journal ArticleDOI

A phase retrieval algorithm for shifting illumination

TL;DR: In this paper, a method of iterative phase retrieval that uses measured intensities in the diffraction plane to solve the phase problem in a way that bypasses the problem of lens aberration was proposed.
Journal ArticleDOI

Probe retrieval in ptychographic coherent diffractive imaging.

TL;DR: A new reconstruction procedure that retrieves both the specimen's image and the illumination profile was recently demonstrated with hard X-ray data and is presented in greater details to illustrate its practical applicability with a visible light dataset.
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