Effect of imposed boundary conditions on the accuracy of transport of intensity equation based solvers

Martínez-Carranza, Juan; Falaggis, Konstantinos; Kozacki, Tomasz; Kujawińska, Małgorzata

doi:10.1117/12.2020662

Cited by 22 publications

(17 citation statements)

References 18 publications

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“…The relatively large magnitude of the latter may be partly due to the sensitivity of TIE to noise and to the immediate environment of the particular cell, with neighboring cells affecting the background in their vicinity. It is possible that reproducibility can be improved using more advanced algorithms for solving TIE, which is known to be sensitive to noise, experimental conditions and method of solution . However, it seems that reproducibility of our measurements was comparable to what is achieved by many other quantitative phase techniques .…”

Section: Discussionmentioning

confidence: 65%

Calibrated brightfield‐based imaging for measuring intracellular protein concentration

2017

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Intracellular protein concentration is an essential cell characteristic, which manifests itself through the refractive index. The latter can be measured from two or more mutually defocused brightfield images analyzed using the TIE (transport-of-intensity equation). In practice, however, TIE does not always achieve quantitatively accurate results on biological cells. Therefore, we have developed a calibration procedure that involves successive imaging of cells in solutions containing different amounts of added protein. This allows one to directly relate the output of TIE (T) to intracellular protein concentration C (g/L). The resultant relationship has a simple form: C ≈ 1.0(T/V), where V is the cell volume (μm ) and 1.0 is an empirical coefficient. We used calibrated TIE imaging to characterize the regulatory volume increase (RVI) in adherent HeLa cells placed in a hyperosmotic solution. We found that while no RVI occurs over the first 30-60 min, the protein concentration fully recovers after 20 h. Because interpretation of such long experiments may depend on whether protein concentration varies significantly throughout the cell cycle, we measured this parameter in three cell lines: HeLa, MDCK and DU145. Our data indicate that protein concentration remains relatively stable in these cells. © 2017 International Society for Advancement of Cytometry.

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Section: Discussionmentioning

confidence: 65%

Calibrated brightfield‐based imaging for measuring intracellular protein concentration

2017

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“…During the time-lapse, many cells migrated in and out of the FOV, resulting in well-known artifacts associated with the artificial periodic boundary conditions imposed by the FFTbased processing [97,98]. Although these artifacts remain an issue, for this study we observed their greatest effect to be near the image boundaries.…”

Section: Resultsmentioning

confidence: 80%

Quantitative phase microscopy via optimized inversion of the phase optical transfer function

Jenkins

Gaylord

2015

Appl. Opt.

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Although the field of quantitative phase imaging (QPI) has wide-ranging biomedical applicability, many QPI methods are not well-suited for such applications due to their reliance on coherent illumination and specialized hardware. By contrast, methods utilizing partially coherent illumination have the potential to promote the widespread adoption of QPI due to their compatibility with microscopy, which is ubiquitous in the biomedical community. Described herein is a new defocus-based reconstruction method that utilizes a small number of efficiently sampled micrographs to optimally invert the partially coherent phase optical transfer function under assumptions of weak absorption and slowly varying phase. Simulation results are provided that compare the performance of this method with similar algorithms and demonstrate compatibility with large phase objects. The accuracy of the method is validated experimentally using a microlens array as a test phase object. Lastly, time-lapse images of live adherent cells are obtained with an off-the-shelf microscope, thus demonstrating the new method's potential for extending QPI capability widely in the biomedical community.

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“…Since the phase function is exactly the quantity to be recovered, its value

(for Dirichlet boundary condition) or normal derivative

(for Neumann boundary condition) at the boundary cannot be known in advance before taking any measurements. To bypass the difficulty, many researchers have tried to solve TIE directly without explicitly imposing the boundary conditions [ 128 , 133 , 134 , 147 ]. Coincidentally, all the efforts aim to find some ways to nullify the overall energy transfer across the region boundary, making boundary conditions unnecessary

…”

Section: Wavefront-based Light Field Imaging From Depth Measuremenmentioning

confidence: 99%

“…Nevertheless, this configuration is rather restrictive and does not reflect general experimental conditions. When the actual experimental condition violates those imposed assumptions, e.g., in wavefront sensing (non-fact phase at the boundary) or objects extending outside the image boundary, as shown in Figure 15 b, severe boundary artifacts will appear, and they seriously affect the accuracy of the phase reconstruction [ 133 , 134 , 147 ].…”

Section: Wavefront-based Light Field Imaging From Depth Measuremenmentioning

confidence: 99%

3D Imaging Based on Depth Measurement Technologies

Zuo

Lam

et al. 2018

Sensors

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Three-dimensional (3D) imaging has attracted more and more interest because of its widespread applications, especially in information and life science. These techniques can be broadly divided into two types: ray-based and wavefront-based 3D imaging. Issues such as imaging quality and system complexity of these techniques limit the applications significantly, and therefore many investigations have focused on 3D imaging from depth measurements. This paper presents an overview of 3D imaging from depth measurements, and provides a summary of the connection between the ray-based and wavefront-based 3D imaging techniques.

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Effect of imposed boundary conditions on the accuracy of transport of intensity equation based solvers

Cited by 22 publications

References 18 publications

Calibrated brightfield‐based imaging for measuring intracellular protein concentration

Calibrated brightfield‐based imaging for measuring intracellular protein concentration

Quantitative phase microscopy via optimized inversion of the phase optical transfer function

3D Imaging Based on Depth Measurement Technologies

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