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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Journal ArticleDOI
Holographic reconstruction by compressive sensing
TL;DR: The use of different metrics for the estimation of sparsity is investigated and the Gini index is the most consistent and it is demonstrated that the Fresnelets basis is the best choice for the reconstruction of digital holograms by CS.
Journal ArticleDOI
Phase reconstruction using compressive two-step parallel phase-shifting digital holography
TL;DR: In this paper, the linear relationship between the sample complex object wave and its approximated complex Fresnel field obtained using single shot parallel phase-shifting digital holograms (PPSDH) is used in compressive sensing framework and an accurate phase reconstruction is demonstrated.
Proceedings ArticleDOI
New algorithms for verifying the null space conditions in compressed sensing
Myung Cho,Weiyu Xu +1 more
TL;DR: In this paper, a series of new polynomial-time algorithms are proposed to compute upper bounds on α k, and a new algorithm called the sandwiching algorithm is designed to compute the exact a k with much lower complexity than exhaustive search.
Journal ArticleDOI
Co-design of an in-line holographic microscope with enhanced axial resolution: selective filtering digital holography.
TL;DR: This work proposes a co-design approach (optics/data processing) to tackle the issue of intrinsically impossible to modify the ratio of energy of reference to the object field, which results in a 60% gain in axial localization accuracy compared to a classical in-line holography setup.
Proceedings ArticleDOI
Compressed digital holography: from micro towards macro
Colas Schretter,Stijn Bettens,David Blinder,Beatrice Pesquet-Popescu,Marco Cagnazzo,Frederic Dufaux,Peter Schelkens +6 more
TL;DR: This overview paper discusses contributions in the field of compressed digital holography at the micro scale and an outreach on future extensions towards the real-size macro scale is discussed.
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.