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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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Proceedings ArticleDOI

Multi-dimensional imaging using compressive sensing

TL;DR: An overview of the proposed and demonstrated frameworks to acquire multi-dimensional optical information, containing three-dimensional positions, spectrums, polarizations, etc., with a single-shot based on compressive sensing is described.
Proceedings ArticleDOI

Multiple-image compressed encryption and decryption by compressive holography

TL;DR: This paper presents a scheme of a multiple-image compressed encryption based on the compressive holography technique, and a total-variation regularization and a nonnegative constraint is employed to extract images with edge preserved and nonnegative gray scale, respectively.
Proceedings ArticleDOI

Compressive imaging for superresolution from a single exposure

TL;DR: It is shown that combining double random phase encoding imaging with a compressive sensing based reconstruction technique, can super-resolve both diffraction and geometrical limited resolution imaging.
Journal ArticleDOI

Digital holographic image fusion for a larger size object using compressive sensing

TL;DR: The experimental results demonstrated that the proposed method can improve the processing efficiency and visual characteristics of the fused image and enlarge the size of the measured object effectively.
Proceedings ArticleDOI

Phase Imaging with X-ray Digital Holography and Compressive Sensing Approach

TL;DR: In this article, a numerical reconstruction method is proposed to reconstruct X-ray inline holograms with compressive sensing approach, which is used to record X-rays inline hologram.
References
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Journal ArticleDOI

An Introduction To Compressive Sampling

TL;DR: The theory of compressive sampling, also known as compressed sensing or CS, is surveyed, a novel sensing/sampling paradigm that goes against the common wisdom in data acquisition.
Journal ArticleDOI

Sparsity and incoherence in compressive sampling

TL;DR: It is shown that ‘1 minimization recovers x 0 exactly when the number of measurements exceeds m Const ·µ 2 (U) ·S · logn, where S is the numberof nonzero components in x 0, and µ is the largest entry in U properly normalized: µ(U) = p n · maxk,j |Uk,j|.
Journal ArticleDOI

Phase-shifting digital holography

TL;DR: A new method is proposed in which the distribution of complex amplitude at a plane is measured by phase-shifting interferometry and then Fresnel transformed by a digital computer, which can reconstruct an arbitrary cross section of a three-dimensional object with higher image quality and a wider viewing angle than from conventional digital holography using an off-axis configuration.
Journal ArticleDOI

Digital holography for quantitative phase-contrast imaging.

TL;DR: A new application of digital holography for phase-contrast imaging and optical metrology and an application to surface profilometry shows excellent agreement with contact-stylus probe measurements.
Journal ArticleDOI

Improved three-dimensional imaging with a digital holography microscope with a source of partial spatial coherence.

TL;DR: A digital holographic technique is implemented in a microscope for three-dimensional imaging reconstruction using a Mach-Zehnder interferometer that uses an incoherent light source to remove the coherent noise that is inherent in the laser sources.
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