Recognition: unknown
Imaging-formulation-based numerical speckle reduction for optical coherence tomography
Pith reviewed 2026-05-14 18:15 UTC · model grok-4.3
The pith
Shifting the complex en face OCT signal and averaging real-part images reduces speckle while preserving lateral resolution.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
Utilizing the shifted-complex-conjugate-product, the method digitally modulates speckle patterns by shifting the complex en face OCT signal and averaging the resulting real-part images. This enables effective speckle suppression from a single volumetric acquisition without hardware modifications. OCT point spread function phantom measurements confirm preservation of lateral resolution. Quantitative evaluations with contrast-to-noise ratio and equivalent number of looks show the approach outperforms conventional frame-averaging techniques on biological samples.
What carries the argument
The shifted-complex-conjugate-product applied to shifted versions of the complex en face OCT signal, which modulates speckle patterns according to the dispersed scatterer model.
If this is right
- Speckle suppression becomes possible with only one volumetric scan, removing the need for multiple acquisitions or hardware changes.
- Lateral resolution is preserved, as verified directly by point spread function phantom measurements.
- Contrast-to-noise ratio and equivalent number of looks exceed those of frame-averaging methods on the tested samples.
- Microstructures such as necrotic regions in spheroids become visible while image sharpness remains unchanged.
Where Pith is reading between the lines
- The single-acquisition requirement could reduce motion artifacts in clinical OCT scans of living subjects.
- The same shift-and-average logic might apply to other coherent imaging systems whose noise statistics follow a similar scatterer model.
- Tissue-specific tuning of the shift parameters could further improve suppression for particular sample types.
Load-bearing premise
The dispersed scatterer model accurately describes the OCT imaging process, so that shifting the complex en face signal modulates speckle patterns without introducing new artifacts or losing resolution.
What would settle it
A phantom measurement showing that the processed point spread function is wider than the original or that new artifacts appear in regions where the dispersed scatterer model does not hold would falsify the claim of resolution preservation and artifact-free reduction.
Figures
read the original abstract
Speckle is an intrinsic pattern in optical coherence tomography (OCT) that obscures fine image features and degrades effective resolution. In this study, we propose a numerical speckle reduction method based on the dispersed scatterer model and the imaging formulation of OCT. Utilizing the shifted-complex-conjugate-product, the proposed method digitally modulates speckle patterns by shifting the complex en face OCT signal and averaging the resulting real-part images. This approach allows for effective speckle suppression using a single volumetric acquisition without additional hardware modifications. OCT point spread function phantom measurement demonstrated lateral resolution preservation of the proposed method. We validated the method using a custom-built full-field swept-source OCT system on human breast adenocarcinoma spheroids and a zebrafish eye. Quantitative evaluations using the contrast-to-noise ratio and equivalent number of looks demonstrated that the proposed method significantly outperforms conventional frame-averaging techniques. The speckle-reduced images revealed microstructures previously obscured by speckle, such as necrotic regions in spheroids, while preserving the original image sharpness and resolution.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript proposes a numerical speckle-reduction technique for optical coherence tomography grounded in the dispersed scatterer model and the OCT imaging formulation. The method applies shifted-complex-conjugate-product operations to the complex en face signal and averages the resulting real-part images to suppress speckle from a single volumetric acquisition. Phantom PSF measurements are used to demonstrate preservation of lateral resolution, while quantitative CNR and ENL evaluations on human breast adenocarcinoma spheroids and a zebrafish eye are reported to show significant outperformance relative to conventional frame averaging, with improved visibility of microstructures such as necrotic regions.
Significance. If the central claims hold, the parameter-free derivation from the imaging model and the single-acquisition nature of the approach would represent a practical advance for OCT, enabling improved contrast without hardware modifications or resolution loss. The validation targets are directly relevant to biomedical OCT applications, and the emphasis on model-based rather than data-fitted processing is a methodological strength.
minor comments (2)
- [Methods] The precise mathematical definition of the shifted-complex-conjugate-product operation (including the shift amount and conjugation step) should be stated explicitly with an equation in the Methods section to support independent implementation and verification.
- [Results] The Results section should report the exact number of shifts/averages employed and any implementation parameters (even if minimal) along with the CNR/ENL values and statistical details to allow direct comparison with the frame-averaging baseline.
Simulated Author's Rebuttal
We thank the referee for the positive assessment of our manuscript on the imaging-formulation-based numerical speckle reduction technique for OCT. The recommendation for minor revision is appreciated, and we will incorporate any editorial or minor suggestions in the revised version. No specific major comments were raised in the report.
Circularity Check
No significant circularity; derivation self-contained from imaging model
full rationale
The paper derives the speckle-reduction procedure directly from the dispersed scatterer model and the stated OCT imaging formulation, using the shifted-complex-conjugate-product operation on the complex en face signal followed by real-part averaging. These steps are presented as algebraic consequences of the model rather than as fitted parameters or self-referential definitions. Performance metrics (CNR, ENL) and phantom PSF measurements are computed after the fact on independent experimental data and do not enter the derivation. No self-citation load-bearing steps, uniqueness theorems, or ansatz smuggling appear in the derivation chain; the method remains parameter-free and externally falsifiable against frame-averaging baselines.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption Dispersed scatterer model accurately represents OCT signal formation
Reference graph
Works this paper leans on
-
[1]
Organoid and spheroid tumor models: techniques and applications,
S. Gunti, A. T. Hoke, K. P. Vu, and N. R. London Jr, “Organoid and spheroid tumor models: techniques and applications,” Cancers13, 874 (2021)
work page 2021
-
[2]
S. El Harane, B. Zidi, N. El Harane,et al., “Cancer spheroids and organoids as novel tools for research and therapy: state of the art and challenges to guide precision medicine,” Cells12, 1001 (2023)
work page 2023
-
[3]
D. Huang, E. A. Swanson, C. P. Lin,et al., “Optical coherence tomography,” science254, 1178–1181 (1991)
work page 1991
-
[4]
Off-axis reference beam for full-field swept-source oct and holoscopy,
D. Hillmann, H. Spahr, H. Sudkamp,et al., “Off-axis reference beam for full-field swept-source oct and holoscopy,” Opt. express25, 27770–27784 (2017)
work page 2017
-
[5]
On-axis full-field swept-source optical coherence tomography for murine retinal imaging,
R. K. Meleppat, D. Valente, S. Lee,et al., “On-axis full-field swept-source optical coherence tomography for murine retinal imaging,” Opt. Lett.49, 4630–4633 (2024)
work page 2024
-
[6]
N. Tateno, Y. Zhu, S. Komeda,et al., “Dynamic full-field swept-source optical coherence tomography for high- resolution, long-depth, and intratissue-activity imaging,” Biomed. Opt. Express17, 1695–1714 (2026)
work page 2026
-
[7]
Y. Zhu, S. Makita, N. Fukutake, and Y. Yasuno, “Theoretical analysis of performance limitation of computational refocusing in optical coherence tomography,” arXiv preprint arXiv:2501.13874 (2025)
-
[8]
Statistical properties of laser speckle patterns,
J. W. Goodman, “Statistical properties of laser speckle patterns,” inLaser speckle and related phenomena,(Springer, 1975), pp. 9–75
work page 1975
-
[9]
Speckle in optical coherence tomography,
J. M. Schmitt, S. Xiang, and K. M. Yung, “Speckle in optical coherence tomography,” J. biomedical optics4, 95–105 (1999)
work page 1999
-
[10]
E. Götzinger, M. Pircher, B. Baumann,et al., “Speckle noise reduction in high speed polarization sensitive spectral domain optical coherence tomography,” Opt. Express19, 14568–14584 (2011)
work page 2011
-
[11]
Speckle reduction in optical coherence tomography imaging by affine-motion image registration,
D. Alonso-Caneiro, S. A. Read, and M. J. Collins, “Speckle reduction in optical coherence tomography imaging by affine-motion image registration,” J. biomedical optics16, 116027–116027 (2011)
work page 2011
-
[12]
Speckle reduction in swept source optical coherence tomography images with slow-axis averaging,
O. Tan, Y. Li, Y. Wang,et al., “Speckle reduction in swept source optical coherence tomography images with slow-axis averaging,” inOptical Coherence Tomography and Coherence Domain Optical Methods in Biomedicine XVI,vol. 8213 (SPIE, 2012), pp. 341–348
work page 2012
-
[13]
J. Zhao, Y. Winetraub, E. Yuan,et al., “Angular compounding for speckle reduction in optical coherence tomography using geometric image registration algorithm and digital focusing,” Sci. Reports10, 1893 (2020)
work page 2020
-
[14]
Speckle reduction in oct using massively-parallel detection and frequency-domain ranging,
A. Desjardins, B. Vakoc, G. Tearney, and B. Bouma, “Speckle reduction in oct using massively-parallel detection and frequency-domain ranging,” Opt. express14, 4736–4745 (2006)
work page 2006
-
[15]
Speckle reduction in optical coherence tomography by frequency compounding,
M. Pircher, E. Go¨ tzinger, R. Leitgeb,et al., “Speckle reduction in optical coherence tomography by frequency compounding,” J. biomedical optics8, 565–569 (2003)
work page 2003
-
[16]
Real-time speckle reduction in optical coherence tomography using the dual window method,
Y. Zhao, K. K. Chu, W. J. Eldridge,et al., “Real-time speckle reduction in optical coherence tomography using the dual window method,” Biomed. Opt. Express9, 616–622 (2018)
work page 2018
-
[17]
T. Storen, A. Royset, N.-H. Giskeodegard,et al., “Comparison of speckle reduction using polarization diversity and frequency compounding in optical coherence tomography,” inCoherence Domain Optical Methods and Optical Coherence Tomography in Biomedicine VIII,vol. 5316 (SPIE, 2004), pp. 196–204
work page 2004
-
[18]
D. C. Adler, T. H. Ko, and J. G. Fujimoto, “Speckle reduction in optical coherence tomography images by use of a spatially adaptive wavelet filter,” Opt. letters29, 2878–2880 (2004)
work page 2004
-
[19]
P. Puvanathasan and K. Bizheva, “Speckle noise reduction algorithm for optical coherence tomography based on interval type ii fuzzy set,” Opt. express15, 15747–15758 (2007)
work page 2007
-
[20]
Speckle reduction in optical coherence tomography images using digital filtering,
A. Ozcan, A. Bilenca, A. E. Desjardins,et al., “Speckle reduction in optical coherence tomography images using digital filtering,” J. Opt. Soc. Am. A24, 1901–1910 (2007)
work page 1901
-
[21]
Volumetric non-local-means based speckle reduction for optical coherence tomography,
C. Cuartas-Vélez, R. Restrepo, B. E. Bouma, and N. Uribe-Patarroyo, “Volumetric non-local-means based speckle reduction for optical coherence tomography,” Biomed. Opt. Express9, 3354–3372 (2018)
work page 2018
-
[22]
N. Abbasi, K. Chen, A. Wong, and K. Bizheva, “Computational approach for correcting defocus and suppressing speckle noise in line-field optical coherence tomography images,” Biomed. Opt. Express15, 5491–5504 (2024)
work page 2024
-
[23]
Self-supervised self2self denoising strategy for oct speckle reduction with a single noisy image,
C. Ge, X. Yu, M. Yuan,et al., “Self-supervised self2self denoising strategy for oct speckle reduction with a single noisy image,” Biomed. Opt. Express15, 1233–1252 (2024)
work page 2024
-
[24]
Probabilistic volumetric speckle suppression in oct using deep learning,
B. R. Chintada, S. Ruiz-Lopera, R. Restrepo,et al., “Probabilistic volumetric speckle suppression in oct using deep learning,” Biomed. Opt. Express15, 4453–4469 (2024)
work page 2024
-
[25]
G. Ni, R. Wu, J. Zhong,et al., “Hybrid-structure network and network comparative study for deep-learning-based speckle-modulating optical coherence tomography,” Opt. Express30, 18919–18938 (2022)
work page 2022
-
[26]
Speckle noise reduction in optical coherence tomography images based on edge-sensitive cgan,
Y. Ma, X. Chen, W. Zhu,et al., “Speckle noise reduction in optical coherence tomography images based on edge-sensitive cgan,” Biomed. Opt. Express9, 5129–5146 (2018)
work page 2018
-
[27]
Self-supervisedblind2unblinddeeplearningschemeforoctspecklereductions,
X.Yu, C.Ge, M.Li,et al., “Self-supervisedblind2unblinddeeplearningschemeforoctspecklereductions,” Biomed. Opt. Express14, 2773–2795 (2023)
work page 2023
-
[28]
K. Tomita, S. Makita, N. Fukutake,et al., “Theoretical model for en face optical coherence tomography imaging and its application to volumetric differential contrast imaging,” Biomed. Opt. Express14, 3100–3124 (2023)
work page 2023
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.