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
Compressive sensing techniques in holography
Yair Rivenson,Adrian Stern +1 more
TL;DR: Applying compressive sensing theory for holography comes natural since holographic imaging is inherently a compressive process that encodes 3D data in 2D images.
Journal ArticleDOI
Multi-aperture optics as a universal platform for computational imaging
TL;DR: In this paper, the fundamental properties of multi-aperture optics are summarized, then some examples of interesting functions implemented by multi-APertures are explained, together with some effective applications.
Proceedings ArticleDOI
Improved axial resolution of digital holography via compressive reconstruction
TL;DR: In this paper, the authors experimentally show that compressed sensing can improve the axial resolution of digital holography when the resolution is limited by the finite pixel pitch, which is the case in this paper.
Journal ArticleDOI
Improvement of the size estimation of 3D tracked droplets using digital in-line holography with joint estimation reconstruction
TL;DR: This work proposes to fully exploit the information redundancy of a hologram video sequence using joint estimation reconstruction, and shows that it led to a relative accuracy of 0.13 % (for a 30 µm diameter droplet) for droplet size estimation.
Journal ArticleDOI
Interference-based image encryption with silhouette removal by aid of compressive sensing
TL;DR: A simple interference-based image encryption method that has effectively suppressed the silhouette problem and has also some distinct advantages over the previous approaches is proposed.
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.