Journal ArticleDOI
Compressive Fresnel Holography
TLDR
This work demonstrates successful application of compressive sensing framework to digital Fresnel holography and it is shown that when applying compressed sensing approach to Fresnel fields a special sampling scheme should be adopted for improved results.Abstract:
Compressive sensing is a relatively new measurement paradigm which seeks to capture the “essential” aspects of a high-dimensional object using as few measurements as possible. In this work we demonstrate successful application of compressive sensing framework to digital Fresnel holography. It is shown that when applying compressive sensing approach to Fresnel fields a special sampling scheme should be adopted for improved results.read more
Citations
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Journal ArticleDOI
Imaging without lenses: achievements and remaining challenges of wide-field on-chip microscopy
Alon Greenbaum,Wei Luo,Ting-Wei Su,Zoltán Göröcs,Liang Xue,Liang Xue,Serhan O. Isikman,Ahmet F. Coskun,Onur Mudanyali,Aydogan Ozcan +9 more
TL;DR: Unique features of lens-free computational imaging tools are discussed and some of their emerging results for wide-field on-chip microscopy, such as the achievement of a numerical aperture of ∼0.8–0.9 across a field of view (FOV) of more than 20 mm2, which corresponds to an image with more than 1.5 gigapixels.
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.
Compressive holography
David J. Brady,Sehoon Lim +1 more
TL;DR: This work demonstrates single frame 3D tomography from 2D holographic data using compressed sampling, which enables signal reconstruction using less than one measurement per reconstructed signal value.
Journal ArticleDOI
Phase retrieval: an overview of recent developments
TL;DR: It is demonstrated that it is possible to robustly and efficiently identify an unknown signal solely from phaseless Fourier measurements, a fact with potentially far-reaching implications.
Three-Dimensional Imaging and ProcessingUsing Computational Holographic Imaging
TL;DR: Digital holography is a technique that permits digital capture of holograms and subsequent processing on a digital computer as mentioned in this paper, and various applications of this technique cover three-dimensional (3-D) imaging as well as several problems.
References
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Journal ArticleDOI
On the Uniqueness of Nonnegative Sparse Solutions to Underdetermined Systems of Equations
TL;DR: It is shown that for matrices A with a row-span intersecting the positive orthant, if this problem admits a sufficiently sparse solution, it is necessarily unique, and the bound on the required sparsity depends on a coherence property of the matrix A.
Compressive holography
David J. Brady,Sehoon Lim +1 more
TL;DR: This work demonstrates single frame 3D tomography from 2D holographic data using compressed sampling, which enables signal reconstruction using less than one measurement per reconstructed signal value.
Journal ArticleDOI
Fast algorithms for free-space diffraction patterns calculation
TL;DR: A fast algorithm based on the Fractional Fourier transform allow accurate evaluation of the Fresnel integral from object to Fraunhofer domain in a single step.
Journal ArticleDOI
Controlling image size as a function of distance and wavelength in Fresnel-transform reconstruction of digital holograms
Pietro Ferraro,Sergio De Nicola,Giuseppe Coppola,Andrea Finizio,Domenico Alfieri,Giovanni Pierattini +5 more
TL;DR: A method for controlling the size of amplitude and phase images reconstructed from digital holograms by the Fresnel-transform method is proposed and demonstrated and solves the problem of superimposition in multiwavelength digital holography for color display and holographic interferometry applications.
Three-Dimensional Imaging and ProcessingUsing Computational Holographic Imaging
TL;DR: Digital holography is a technique that permits digital capture of holograms and subsequent processing on a digital computer as mentioned in this paper, and various applications of this technique cover three-dimensional (3-D) imaging as well as several problems.