Iterative method for zero-order suppression in off-axis digital holography

Pavillon, Nicolas; Arfire, Cristian; Bergoënd, Isabelle; Depeursinge, Christian

doi:10.1364/oe.18.015318

Cited by 70 publications

(24 citation statements)

References 30 publications

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“…However, for biological tissues, which have complex structure, the wide spectrum of the tissues will cause serious spectrum aliasing with zero-order diffraction spectrum, which reduces the precision of AS algorithm and make the biological phase analysis not accurate enough. Several methods have been proposed to suppressing zero-order and thus eliminate the spectrum aliasing, such as nonlinear reconstruction technique [34], iterative approach [35][36][37] and image plane filtering method based on spherical reconstructed wave [38,39]. These methods can solve the spectrum aliasing, but the nonlinear technique may have complex processing, the iterative approach is comparatively time-consuming and the spherical wave introduced in image plane filtering is not suitable for phase extraction because of the introduction of other phase information.…”

Section: Introductionmentioning

confidence: 99%

Phase distribution analysis of tissues based on the off-axis digital holographic hybrid reconstruction algorithm

Lin

Dong

Chen

et al. 2017

Biomed. Opt. Express

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Off-axis digital holography (DH) has great potential in histopathology for its high efficiency and precision. Phase distribution, usually extracted by the angular spectrum (AS) algorithm from a digital hologram, reflects important structural information of biological tissues. However, the complex structure of tissues introduces spectrum aliasing of the hologram, making the AS algorithm hard to realize and accurate phase analysis difficult to conduct. Here, we present a hybrid reconstruction algorithm, combining Fresnel reconstruction in spatial domain with the AS algorithm in frequency domain, to solve aliasing by spatial filtering. Through simulation, we demonstrate the feasibility and superiority of the hybrid algorithm and verified the precision (10 rad) of the hybrid algorithm with spectrum aliasing. We extract phase distributions from normal urothelial and bladder cancer tissues by the hybrid algorithm and make quantitative analysis through histogram and standard deviation. The result shows the hybrid algorithm in off-axis DH has great advantage for the high-precision phase extraction of tissues and supplies significant information for cancer diagnosis.

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Section: Introductionmentioning

confidence: 99%

Phase distribution analysis of tissues based on the off-axis digital holographic hybrid reconstruction algorithm

Lin

Dong

Chen

et al. 2017

Biomed. Opt. Express

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“…In this contribution we are focusing on accurate bi-dimensional single-shot approaches as ability to study full-field dynamic events is fundamental in biomedicine. Single-shot slightly-off axis methods with numerical operators require either constrains on the usable field of view 43 , 47 , object and reference beam intensities 38 , 39 and/or complicated optimization 40 , or are limited to image 1D scanning 49 – 52 . Nonetheless, recently a very elegant approach employing Kramers–Kronig relations was introduced to the QPI and digital holographic imaging in general 53 .…”

Section: Introductionmentioning

confidence: 99%

“…It attempts the space-bandwidth product optimization by means of full spectral separation of conjugated object lobes, while leaving the autocorrelation term partially overlapped with information carrying cross-correlation terms [38][39][40][41][42][43][44][45][46][47][48][49][50][51][52] . Slightly off-axis phase demodulation is presently facilitated mainly by imposing restrictions on object and reference beams [38][39][40] , utilizing subtraction of two images [41][42][43][44][45][46][47] , employing two wavelengths 48 , or basing on the 1D limited processing [49][50][51][52] , however. In this contribution we are focusing on accurate bi-dimensional single-shot approaches as ability to study full-field dynamic events is fundamental in biomedicine.…”

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confidence: 99%

Variational Hilbert Quantitative Phase Imaging

Trusiak

Cywińska

Micó

et al. 2020

Sci Rep

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Utilizing the refractive index as the endogenous contrast agent to noninvasively study transparent cells is a working principle of emerging quantitative phase imaging (QPI). In this contribution, we propose the Variational Hilbert Quantitative Phase Imaging (VHQPI)-end-to-end purely computational add-on module able to improve performance of a QPI-unit without hardware modifications. The VHQPI, deploying unique merger of tailored variational image decomposition and enhanced Hilbert spiral transform, adaptively provides high quality map of sample-induced phase delay, accepting particularly wide range of input single-shot interferograms (from off-axis to quasi on-axis configurations). It especially promotes high space-bandwidth-product QPI configurations alleviating the spectral overlapping problem. The VHQPI is tailored to deal with cumbersome interference patterns related to detailed locally varying biological objects with possibly high dynamic range of phase and relatively low carrier. In post-processing, the slowly varying phase-term associated with the instrumental optical aberrations is eliminated upon variational analysis to further boost the phase-imaging capabilities. The VHQPI is thoroughly studied employing numerical simulations and successfully validated using static and dynamic cells phase-analysis. It compares favorably with other single-shot phase reconstruction techniques based on the Fourier and Hilbert-Huang transforms, both in terms of visual inspection and quantitative evaluation, potentially opening up new possibilities in QPI. Optical imaging is a central aspect of biological research, biomedical examination, and medical diagnosis. Optical microscope is indispensable in biological and medical research facilitating a "seeing is believing" paradigm 1. Despite its rich history and well-established position, significant efforts are contemporarily put on developing new imaging modalities enabling enhanced resolution, contrast, depth, speed and information content. Among a suite of modern microscopy techniques, quantitative phase imaging (QPI) 2-4 stands out as a vividly blossoming label-free approach. It provides unique means for imaging cells and tissues merging beneficial features identified with microscopy 1 , interferometry and holography 5 , and numerical computations. Using refractive index as the endogenous contrast agent 6,7 QPI numerically converts recorded interference pattern into a nanoscale-precise subcellular-specific map of optical delay introduced by examined transparent specimen 7-9. This non-phototoxic non-destructive imaging technique brings biology and metrology closer as it generates quantitative maps of analyzed live bio-structure (related to cell mass, volume, surface area, and their evolutions in time). Therefore, QPI enables upgrading phase-contrast based 6 visualization of the sample to stain-free non-invasive measurement of sample-induced optical phase delay (related to refractive index and/or thickness variations). Impressive details can be imaged, e.g., via super-resolut...

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“…Moreover, currently, only iterative phase retrieval methods allow the reconstruction of phase objects from their in-line holograms [12]. Iterative phase retrieval algorithms can also be applied in off-axis holography for suppression of the so-called "zeroterm" [13]. However, iterative phase retrieval algorithms are mainly applied for the reconstruction of in-line holograms, and therefore the current paper is limited to the case of in-line holography realized with waves of single wavelength.…”

Section: Introductionmentioning

confidence: 99%

Iterative phase retrieval for digital holography: tutorial

Latychevskaia

2019

J. Opt. Soc. Am. A

101

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This paper provides a tutorial of iterative phase retrieval algorithms based on the Gerchberg-Saxton (GS) algorithm applied in digital holography. In addition, a novel GSbased algorithm that allows reconstruction of 3D samples is demonstrated. The GS-based algorithms recover complex-valued wavefront-by-wavefront back-and forth propagation between two planes with constraints superimposed in these two planes. Iterative phase retrieval allows quantitatively correct and twin-image-free reconstructions of object amplitude and phase distributions from its in-line hologram. The present work derives the quantitative criteria on how many holograms are required to reconstruct a complex-valued object distribution, be it a 2D or 3D sample. It is shown that for a sample that can be approximated as a 2D sample, a single-shot in-line hologram is sufficient to reconstruct the absorption and phase distributions of the sample. Previously, the GS-based algorithms have been successfully employed to reconstruct samples that are limited to a 2D plane. However, realistic physical objects always have some finite thickness and therefore are 3D rather than 2D objects. This study demonstrates that 3D samples, including 3D phase objects, can be reconstructed from two or more holograms. It is shown that in principle, two holograms are sufficient to recover the entire wavefront diffracted by a 3D sample distribution. In this method, the reconstruction is performed by applying iterative phase retrieval between the planes where intensity was measured. The recovered complex-valued wavefront is then propagated back to the sample planes, thus reconstructing the 3D distribution of the sample. This method can be applied for 3D samples such as 3D distribution of particles, thick biological samples, and other 3D phase objects. Examples of reconstructions of3Dobjects, including phase objects, are provided. Resolution enhancement obtained by iterative extrapolation of holograms is also discussed.

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Iterative method for zero-order suppression in off-axis digital holography

Cited by 70 publications

References 30 publications

Phase distribution analysis of tissues based on the off-axis digital holographic hybrid reconstruction algorithm

Phase distribution analysis of tissues based on the off-axis digital holographic hybrid reconstruction algorithm

Variational Hilbert Quantitative Phase Imaging

Iterative phase retrieval for digital holography: tutorial

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