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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.

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Citations
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Journal ArticleDOI

Imaging without lenses: achievements and remaining challenges of wide-field on-chip microscopy

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

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

Three-Dimensional Imaging and Processing Using Computational Holographic Imaging

TL;DR: Applications of digital holography cover three-dimensional (3-D) imaging as well as several associated problems and optical and digital methods to reconstruct and visualize the recorded objects are described.
Proceedings ArticleDOI

Compressive coded aperture superresolution image reconstruction

TL;DR: The design of coded aperture masks for super- resolution image reconstruction from a single, low-resolution, noisy observation image are described and based upon recent theoretical work on Toeplitz- structured matrices for compressive sensing, the proposed masks are fast and memory-efficient to compute.
Journal ArticleDOI

Automated Three-Dimensional Identification and Tracking of Micro/Nanobiological Organisms by Computational Holographic Microscopy

TL;DR: In this paper, a comprehensive mixture of optical and computational tools developed in a group aiming at real-time sensing and recognition of biological microorganisms is reviewed, which can have numerous applications in a wide spectrum of fields, including defense against biological warfare, disease control, environmental health and safety, and medical treatments.

Random Lens Imaging

TL;DR: In this article, a random lens is defined as one for which the function relating the input light ray to the output sensor location is pseudo-random, and two machine learning methods are compared for both camera calibration and image reconstruction.
Journal ArticleDOI

Reconstruction of in-line digital holograms from two intensity measurements.

TL;DR: A new method based on in-line digital holography for the reconstruction of a wave front from only two intensity recordings is proposed and shows that it works well when the object wave is weak compared with the reference wave.
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