Journal ArticleDOI
Reconstruction of an object from the modulus of its Fourier transform.
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TLDR
A digital method for solving the phase-retrieval problem of optical-coherence theory: the reconstruction of a general object from the modulus of its Fourier transform, which should be useful for obtaining high-resolution imagery from interferometer data.Abstract:
We present a digital method for solving the phase-retrieval problem of optical-coherence theory: the reconstruction of a general object from the modulus of its Fourier transform. This technique should be useful for obtaining high-resolution imagery from interferometer data.read more
Citations
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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.
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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
Majorization-Minimization Algorithms in Signal Processing, Communications, and Machine Learning
TL;DR: An overview of the majorization-minimization (MM) algorithmic framework, which can provide guidance in deriving problem-driven algorithms with low computational cost and is elaborated by a wide range of applications in signal processing, communications, and machine learning.
Journal ArticleDOI
Large-scale nanophotonic phased array
TL;DR: This work demonstrates that a robust design, together with state-of-the-art complementary metal-oxide–semiconductor technology, allows large-scale NPAs to be implemented on compact and inexpensive nanophotonic chips and therefore extends the functionalities of phased arrays beyond conventional beam focusing and steering, opening up possibilities for large- scale deployment.
References
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Journal Article
A practical algorithm for the determination of phase from image and diffraction plane pictures
TL;DR: In this article, an algorithm is presented for the rapid solution of the phase of the complete wave function whose intensity in the diffraction and imaging planes of an imaging system are known.
Journal Article
Attainment of Diffraction Limited Resolution in Large Telescopes by Fourier Analysing Speckle Patterns in Star Images
Journal Article
Attainment of diffraction limited resolution in large telescopes by Fourier analysing speckle patterns in star images
Journal ArticleDOI
Method for Computing Kinoforms that Reduces Image Reconstruction Error.
Neal C. Gallagher,Bede Liu +1 more
TL;DR: Numerical results indicate that images produced by this method offer considerable reduction in the error when compared with images produced from kinoforms made with the random phase method.
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A new restoring algorithm for the preferential enhancement of edge gradients
TL;DR: A new restoring algorithm that is based on use of a “median-window filter” that can typically enhance edge gradients by a factor of 5:1 with nearly a complete absence of Gibbs oscillation.