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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

4D compressive sensing holographic microscopy imaging of small moving objects

TL;DR: In this article, compressive sensing calculations are used to reconstruct in 3D sparse objects whose 2D hologram has been recorded by digital holographic microscopy, which is well adapted to image small scattering objects moving within a larger motionless object.
Journal ArticleDOI

Spectral pre-modulation of training examples enhances the spatial resolution of the phase extraction neural network (PhENN).

TL;DR: It is demonstrated experimentally that the spectral pre-modulation method enhances the spatial resolution of PhENN by a factor of 2.5, and proposed "flattening" the power spectral density of the training examples before presenting them to PhENN.
Journal ArticleDOI

Optimized sensing of sparse and small targets using lens-free holographic microscopy.

TL;DR: It is found that sparsity-promoting regularization enhances the SNR by ~8 dB compared to the other methods when imaging micron-scale beads with surface coverages up to ~4%.
Journal ArticleDOI

Holographic particle localization under multiple scattering

TL;DR: In this article, a computational framework that incorporates multiple scattering for large-scale 3D particle localization using single-shot in-line holography is introduced, which overcomes the computational bottleneck by slicewise computation of multiple scattering under an efficient recursive framework.
Journal ArticleDOI

Fast and accurate 3D object recognition directly from digital holograms.

TL;DR: It is shown that most of the diffraction pattern variability can be captured in a lower dimensional space and good performance for object recognition and localization is demonstrated at a reduced computational cost using a low-dimensional dictionary.
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.
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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.
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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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