Comparison of the filtered backpropagation and the filtered backprojection algorithms for quantitative tomography

Wedberg, Torolf C.; Stamnes, Jakob J.; Singer, Wolfgang

doi:10.1364/ao.34.006575

Cited by 38 publications

(19 citation statements)

References 17 publications

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“…3.1. Various complex conjugate operations appearing in the FBP formulation above, but not in the original references [29,51], arise from the exp(jωt) time dependence adopted in this dissertation.…”

Section: Fourier Diffraction Theorem and The Fbp Algorithmmentioning

confidence: 99%

Modal-based tomographic imaging from far-zone observations

Karbeyaz

Rappaport

2008

J. Opt. Soc. Am. A

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A novel method of optical diffraction tomography (ODT) to image weakly scattering, electrically large two dimensional (2D) objects using the far-zone scattered field data is presented. The proposed technique is based on the expansion of the target object function in terms of Fourier-Bessel basis functions, and an alternative approximation for the total electric field within the support of the investigated scatterer. Analytical (Mie) plane-wave scattering by a layered, circularly symmetric, lossy dielectric cylinder, and finite-difference time-domain simulations involving plane-wave scattering first by a more general, lossless dielectric phantom and then by embryo models involving various mitochondrial distributions are utilized to compare the performance of the proposed method with that of the standard ODT techniques which are based on the Born/Rytov approximations and Fourier diffraction theorem. Quantitative and qualitative superiority of the presented method is demonstrated. The proposed method can be used without being confined to far-zone observations with a proper (cylindrical-spherical) receiver configuration, and can be easily modified to handle multi-frequency data for a wideband reconstruction whenever applicable. The proposed 2D technique can be readily extended to more realistic three dimensional scenarios, and can be used in tomographic microscopy for various purposes, such as the cell-embryo health assessment for in vitro fertilization procedures.

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Section: Fourier Diffraction Theorem and The Fbp Algorithmmentioning

confidence: 99%

Modal-based tomographic imaging from far-zone observations

Karbeyaz

Rappaport

2008

J. Opt. Soc. Am. A

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“…First, the algorithm uses assumption that optical radiation propagates nearly along straight rays. Numerically it was shown that in this case the most accurate reconstructions are obtained, if instead of scattered field the projection image of the object centre is measured [3]. The second reconstruction algorithm that accounts for diffraction using either Born or Rytov weak-scattering approximations is the filtered back propagation algorithm [10].…”

Section: Reconstruction Errors In Optical Diffraction Tomographymentioning

confidence: 99%

“…It was proven, that the most accurate results are received if prior to application of tomographic reconstruction the optical field is imaged to an object centre either via imaging system or numerically [2,3]. For such configuration the measured object integrated phase distribution is most similar to the theoretical object projection of a phase.…”

Section: Improving Accuracy By Selecting Best Focus Planementioning

confidence: 99%

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Investigation of limitations of optical diffraction tomography

Kozacki

Kujawińska

Kniazewski

2007

Opto-Electronics Review

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Optical diffraction tomography (ODT) applied to measurement of optical microelements is limited by low dynamic range, i.e., only objects with small deviations of refractive-index distribution can be measured. Therefore in this paper the limitations and errors of ODT are investigated throughout extensive numerical experiments. It is shown that these errors can be reduced by introduction of additional numerical focusing in the tomographic reconstruction algorithm. Additionally, new tomographic reconstruction algorithm using back propagation in reference medium for optical microelements measurement with known design is proposed. This hybrid reconstruction algorithm allows significant extension of ODT applicability in measurement of elements having large deviations of refractive-index distribution.

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“…Once a set of high-resolution (HR) projection holograms (one for each illumination angle) are digitally synthesized using a pixel superresolution algorithm as shown in Fig. S2, a hybrid filtered back-projection method (51,52) is utilized to create the final tomograms of the objects. Therefore, the superresolved projections are first digitally reconstructed (see, e.g., Fig.…”

mentioning

confidence: 99%

Lens-free optical tomographic microscope with a large imaging volume on a chip

Isikman

Bishara²,

Mavandadi³

et al. 2011

Proc. Natl. Acad. Sci. U.S.A.

205

213

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We present a lens-free optical tomographic microscope, which enables imaging a large volume of approximately 15 mm 3 on a chip, with a spatial resolution of <1 μm× < 1 μm× < 3 μm in x, y and z dimensions, respectively. In this lens-free tomography modality, the sample is placed directly on a digital sensor array with, e.g., ≤4 mm distance to its active area. A partially coherent light source placed approximately 70 mm away from the sensor is employed to record lens-free in-line holograms of the sample from different viewing angles. At each illumination angle, multiple subpixel shifted holograms are also recorded, which are digitally processed using a pixel superresolution technique to create a single high-resolution hologram of each angular projection of the object. These superresolved holograms are digitally reconstructed for an angular range of AE50°, which are then back-projected to compute tomograms of the sample. In order to minimize the artifacts due to limited angular range of tilted illumination, a dual-axis tomography scheme is adopted, where the light source is rotated along two orthogonal axes. Tomographic imaging performance is quantified using microbeads of different dimensions, as well as by imaging wild-type Caenorhabditis elegans. Probing a large volume with a decent 3D spatial resolution, this lens-free optical tomography platform on a chip could provide a powerful tool for high-throughput imaging applications in, e.g., cell and developmental biology. L ight microscopy has been an irreplaceable tool in life sciences for several centuries. The quest to resolve smaller features with better resolution and contrast has improved the capabilities of this important tool at the cost of relatively increasing its size and complexity (1). On the other hand, we have experienced the flourishing of emerging technologies such as microfluidic and lab-on-a-chip systems, which offer fast and efficient handling and processing of biological samples within highly miniaturized architectures (2-7). The optical inspection of the specimen, however, is still being performed by conventional light microscopes, which has in general several orders of magnitude size mismatch compared to the scale of the microfluidic systems. As a result, there is a clear need for alternative compact microscopy modalities toward integration with miniaturized lab-on-a-chip platforms (8).The push for new optical microscopy modalities is not solely driven by the need for miniaturization and microfluidic integration. The fact that high resolution is achieved at the cost of significant field-of-view (FOV) reduction is another fundamental limitation of lens-based imaging. The relatively small FOV of conventional light microscopy brings additional challenges for its application to several important problems such as rare cell imaging or optical phenotyping of model organisms (9-15), where high-throughput microscopy is highly desired.In order to provide complementary solutions to these aforementioned needs, several lens-free digital microscopy techniqu...

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Comparison of the filtered backpropagation and the filtered backprojection algorithms for quantitative tomography

Cited by 38 publications

References 17 publications

Modal-based tomographic imaging from far-zone observations

Modal-based tomographic imaging from far-zone observations

Investigation of limitations of optical diffraction tomography

Lens-free optical tomographic microscope with a large imaging volume on a chip

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