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
Efficient compressive holographic reconstruction based on hologram segmentation.
TL;DR: In this paper, a dimension reduction of measurement matrix (DRMM) method is proposed to accelerate compressive holographic reconstruction, which is implemented by a hologram segmentation approach and a parallel computing technique.
Journal ArticleDOI
Lensless masked imaging with self-calibrated phase retrieval
TL;DR: In this paper , a self-calibrated phase retrieval (SCPR) method is proposed to realize a joint recovery of a binary mask and sample's wave field for a lensless masked imaging system.
Proceedings ArticleDOI
Compressive sensing techniques applied in holography: theory and examples
TL;DR: In this article, the authors overview a number of digital holographic techniques that benefit from the new sampling paradigm set by compressive sensing theory and present theoretical results that provide practical rules for use of compressive sensors in holography.
Proceedings ArticleDOI
Efficient compressive Fresnel holography
TL;DR: It is demonstrated that in order to apply the compressive sensing approach effectively on digitally recorded Fresnel field a special sampling scheme should be adopted.
Proceedings ArticleDOI
Experimental investigation on reconstruction guarantees in compressive Fresnel holography
TL;DR: In this paper, the reconstruction conditions are investigated both theoretically and experimentally in near-field Fresnel propagation regime, and the effect of recording distance on the physical properties of Fresnel wave propagation is demonstrated, and then show their effect on reconstructed image quality.
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.