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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Proceedings ArticleDOI
3D Imaging with Compressive Sensing
Abhijit Mahalanobis,Xiao Xiao,Yair Rivenson,Ryoichi Horisaki,Adrian Stern,Jun Tanida,Bahram Javidi +6 more
TL;DR: An overview of the previously published work on using compressive sensing in 3D imaging is presented, including integral imaging, holography, 3D scene reconstruction and 3D object recognition.
Journal ArticleDOI
Variable step-size matching pursuit based on oblique projection for compressed sensing
TL;DR: A novel variable step-size matching pursuit based on oblique projection (VSMPOP) for compressed sensing provides superior performance in terms of computational complexity and reconstruction efficiency compared with most of the available matching pursuit algorithms.
Journal ArticleDOI
Objects Reconstruction By Compressive Sensing from Single-pixel Registrations Using DMD
TL;DR: Reconstruction quality estimations and processing times are given for compressed sensing images obtained under various recording conditions and detection of illumination from the objects by a single-pixel detector using a DMD.
Proceedings ArticleDOI
Novel design strategy for three-channel meta-holography and meta-nanoprinting
TL;DR: In this paper , a spin-decoupling strategy with Mull's law amplitude manipulation was proposed to project two independent holographic images in the far field and one continuous gray-scale image in the near field of the metasurface.
Proceedings ArticleDOI
High-speed holographic imaging using compressed sensing and phase retrieval
TL;DR: A spatially subsample holograms to increase temporal resolution and examines and compares two iterative reconstruction methods, one is an error reduction phase retrieval and the other is sparsity-based compressed sensing algorithm, which show strong capability of reconstructing complex object fields.
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
Ichirou Yamaguchi,Tong Zhang +1 more
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.