Bayesian analysis of depth resolved OCT attenuation coefficients

Fiske, Lionel D.; Aalders, Maurice C. G.; Almasian, Mitra; Leeuwen, Ton G. van; Katsaggelos, Aggelos K.; Cossairt, Oliver; Faber, Dirk J.

doi:10.1038/s41598-021-81713-7

Cited by 7 publications

(5 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(4) suggests that these fluctuations will be largely averaged out only in the denominator I(z) due to the integration. Indeed, as shown by Fiske et al., 18 the attenuation coefficient retrieved by the DRE follows the same statistical distribution as the OCT intensity I(z), which is a Rayleigh distribution when the OCT signal is represented on amplitude basis, or an exponential distribution when the OCT signal is represented on an intensity basis as in this article: p(μ^OCT)=1false⟨trueμfalse^OCTfalse⟩ exp(−μ^OCT/⟨μ^OCT)⟩.…”

Section: Theorysupporting

confidence: 56%

See 1 more Smart Citation

Accuracy and precision of depth-resolved estimation of attenuation coefficients in optical coherence tomography

2023

Self Cite

View full text Add to dashboard Cite

.SignificanceParametric imaging of the attenuation coefficient μOCT using optical coherence tomography (OCT) is a promising approach for evaluating abnormalities in tissue. To date, a standardized measure of accuracy and precision of μOCT by the depth-resolved estimation (DRE) method, as an alternative to least squares fitting, is missing.AimWe present a robust theoretical framework to determine accuracy and precision of the DRE of μOCT.ApproachWe derive and validate analytical expressions for the accuracy and precision of μOCT determination by the DRE using simulated OCT signals in absence and presence of noise. We compare the theoretically achievable precisions of the DRE method and the least-squares fitting approach.ResultsOur analytical expressions agree with the numerical simulations for high signal-to-noise ratios and qualitatively describe the dependence on noise otherwise. A commonly used simplification of the DRE method results in a systematic overestimation of the attenuation coefficient in the order of μOCT2×Δ, where Δ is the pixel stepsize. When μOCT · | AFR | ≲ 1.8, μOCT is reconstructed with higher precision by the depth-resolved method compared to fitting over the length of an axial fitting range | AFR | .ConclusionsWe derived and validated expressions for the accuracy and precision of DRE of μOCT. A commonly used simplification of this method is not recommended as being used for OCT-attenuation reconstruction. We give a rule of thumb providing guidance in the choice of estimation method.

show abstract

Section: Theorysupporting

confidence: 56%

“…Fiske et al 18 . showed that the coefficient of variation δD≪1 already, even without pre-averaging so we neglect that term in Eq.…”

Section: Appendix Cmentioning

confidence: 99%

Accuracy and precision of depth-resolved estimation of attenuation coefficients in optical coherence tomography

2023

Self Cite

View full text Add to dashboard Cite

show abstract

“…Our further extension is to look for discontinuities that can then be used to define the surface. This subject was also addressed by Fiske et al (2021).…”

Section: Volumetric Image Processingmentioning

confidence: 96%

Non-invasive estimation of coral polyp volume and surface area using optical coherence tomography

Jaffe

Schull²,

Kühl³

et al. 2022

Front. Mar. Sci.

View full text Add to dashboard Cite

The surface area (SA) and three-dimensional (3D) morphology of reef-building corals are central to their physiology. A challenge for the estimation of coral SA has been to meet the required spatial resolution as well as the capability to preserve the soft tissue in its native state during measurements. Optical Coherence Tomography (OCT) has been used to quantify the 3D microstructure of coral tissues and skeletons with nearly micron-scale resolution. Here, we develop a non-invasive method to quantify surface area and volume of single coral polyps. A coral fragment with several coral polyps as well as calibration targets of known areal extent are scanned with an OCT system. This produces a 3D matrix of optical backscatter that is analyzed with computer algorithms to detect refractive index mismatches between physical boundaries between the coral and the immersed water. The algorithms make use of a normalization of the depth dependent scatter intensity and signal attenuation as well as region filling to depict the interface between the coral soft tissue and the water. Feasibility of results is judged by inspection as well as by applying algorithms to hard spheres and fish eggs whose volume and SA can be estimated analytically. The method produces surface area estimates in calibrated targets that are consistent with analytic estimates within 93%. The appearance of the coral polyp surfaces is consistent with visual inspection that permits standard programs to visualize both point clouds and 3-D meshes. The method produces the 3-D definition of coral tissue and skeleton at a resolution close to 10 µm, enabling robust quantification of polyp volume to surface area ratios.

show abstract

“…In [17], an ultrasound data processing approach for attenuation estimation was adopted for OCT data. Further works extended the approach for the case of the additive noise [12,18] and the multiplier accounting for the depth-dependent sensitivity of the OCT system [19].…”

Section: Introductionmentioning

confidence: 99%

Depth‐resolved method for attenuation coefficient calculation from optical coherence tomography data for improved biological structure visualization

Moiseev

Sherstnev

Kiseleva

et al. 2023

Journal of Biophotonics

View full text Add to dashboard Cite

Optical coherence tomography (OCT) is a promising tool for intraoperative tissue morphology determination. Several studies suggest that attenuation coefficient derived from the OCT images, can differentiate between tissues of different morphology, such as normal and pathological structures of the brain, skin and other tissues. In the present study, the depth‐resolved method for attenuation coefficient calculation was adopted for the real‐world situation of the depth‐dependent OCT sensitivity and additive imaging noise with non‐zero mean. It was shown that in the case of sharp focusing (~10 μm spot full width at half maximum (FWHM) or smaller at 1.3 μm central wavelength) only the proposed method for depth‐dependent sensitivity compensation does not introduce misleading artifacts into the calculated attenuation coefficient distribution. At the same time, the scanning beam focus spot with FWHM greater than 10 μm at 1.3 μm central wavelength allows one to use multiple approaches to the attenuation coefficient calculation without introducing noticeable bias. This feature may hinder the need for robust corrections for the depth‐resolved attenuation coefficient estimations from the community.This article is protected by copyright. All rights reserved.

show abstract

Bayesian analysis of depth resolved OCT attenuation coefficients

Cited by 7 publications

References 32 publications

Accuracy and precision of depth-resolved estimation of attenuation coefficients in optical coherence tomography

Accuracy and precision of depth-resolved estimation of attenuation coefficients in optical coherence tomography

Non-invasive estimation of coral polyp volume and surface area using optical coherence tomography

Depth‐resolved method for attenuation coefficient calculation from optical coherence tomography data for improved biological structure visualization

Contact Info

Product

Resources

About