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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Digital Holography for Three Dimensional Tomographic and Topographic Measurements
TL;DR: Digital holography is combined with multiple projection tomography to solve the ill-posed problem of three dimensional object reconstruction with high axial accuracy and reconstruction methods based upon both traditional and compressive sensing methodologies are applied.
Proceedings ArticleDOI
What is the Reconstruction Range for Compressive Fresnel Holography
Yair Rivenson,Adrian Stern +1 more
TL;DR: In this paper, the authors discuss some basic guidelines for using the Fresnel transform as a compressive sensing operator and show that the reconstruction distance affects the reconstruction result when using the compressive Fourier transform.
Book ChapterDOI
Object Signature Acquisition through Compressive Scanning
TL;DR: It is shown that using compressive sensing can lead to a reduction in the amount of stored data without significantly affecting the utility of this data for image recognition and image compression.
Book ChapterDOI
Multi-dimensional Imaging by Compressive Digital Holography
TL;DR: It is demonstrated that digital holography is an efficient and physically realizable sensing modality that synergizes with the compressive sensing framework for 2D and 3D applications.
Proceedings ArticleDOI
Investigating numerical reconstruction quality and sparsity constraints on the holographic fringe pattern in digital holography
TL;DR: Experimental results indicate that the way to extract the sparse signals could significantly affect the quality of the numerical reconstruction in digital holography and visually plausible reconstruction could be obtained with a sparse holographic fringe pattern.
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.