Isfahan University of Medical Sciences

Science Communicator Platform

Stay connected! Follow us on X network (Twitter):
Share this content! On (X network) By
Local Self-Similar Solution of Admm for Denoising of Retinal Oct Images Publisher



Tajmirriahi M1 ; Amini Z1 ; Rabbani H1
Authors
Show Affiliations
Authors Affiliations
  1. 1. Isfahan University of Medical Sciences, Medical Image and Signal Processing Research Center, School of Advanced Technologies in Medicine, Isfahan, 81746-734641, Iran

Source: IEEE Transactions on Instrumentation and Measurement Published:2024


Abstract

In this article, an incorporation of stochastic differential equation (SDE), and geometrical characteristics is applied to develop a mixture model of symmetric α -stable ( sα s ) distributions for white process representation of retinal optical coherence tomography (OCT) images. According to validation by statistical tests, this model well justifies the heavy-tailed nature of the probability density function (pdf) of OCT images. In addition, the proposed mixture model provides statistically independent and localized prior information for the maximum a posteriori (MAP) estimation. To declare this advantage, for the first time, the extended alternating direction method of multipliers (eADMMs) algorithm is formulated and developed to utilize sα s mixture prior to noise reduction of OCT images. This algorithm contributes a mixture model in the ADMM algorithm and simplifies the denoising problem into the localized component-specific proximal subproblems. Experimental results indicate that the proposed method is visually and quantitatively outstanding for the denoising of normal and abnormal OCT images of various devices. The results also demonstrate that the mixture model prior can improve denoising of OCT images in particular for preserving the structural information and texture features. This makes the proposed model suitable for an effective description of the random nature of normal and abnormal OCT images independent of the capturing device. © 1963-2012 IEEE.
Related Docs
View other Related Docs
1. Modeling of Retinal Optical Coherence Tomography Based on Stochastic Differential Equations: Application to Denoising, IEEE Transactions on Medical Imaging (2021)
2. Multivariate Statistical Modeling of Retinal Optical Coherence Tomography, IEEE Transactions on Medical Imaging (2020)
3. Statistical Modeling of Retinal Optical Coherence Tomography Using the Weibull Mixture Model, Biomedical Optics Express (2021)
4. Tensor Ring Decomposition Guided Dictionary Learning for Oct Image Denoising, IEEE Transactions on Medical Imaging (2024)
5. Super-Resolution of Optical Coherence Tomography Images by Scale Mixture Models, IEEE Transactions on Image Processing (2020)
6. Total Variation Regularized Tensor Ring Decomposition for Oct Image Denoising and Super-Resolution, Computers in Biology and Medicine (2024)
7. Oct Image Denoising Based on Asymmetric Normal Laplace Mixture Model, Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS (2019)
8. Retinal Oct Image Denoising Based on Adaptive Bessel K-Form Modeling, 2023 30th National and 8th International Iranian Conference on Biomedical Engineering, ICBME 2023 (2023)
Experts (# of related papers)
View all Related Experts
Hossein Rabbani (57)
Raheleh Kafieh (19)
Other Related Docs
9. Mixed Multiscale Bm4d for Three-Dimensional Optical Coherence Tomography Denoising, Computers in Biology and Medicine (2023)
10. Super-Resolution of Retinal Optical Coherence Tomography Images Using Statistical Modeling, Journal of Medical Signals and Sensors (2024)
11. A Lightweight Mimic Convolutional Auto-Encoder for Denoising Retinal Optical Coherence Tomography Images, IEEE Transactions on Instrumentation and Measurement (2021)
12. Mixture of Symmetric Stable Distributions for Macular Pathology Detection in Optical Coherence Tomography Scans, Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS (2022)
13. Optical Coherence Tomography Retinal Image Reconstruction Via Nonlocal Weighted Sparse Representation, Journal of Biomedical Optics (2018)
14. X-Let's Atom Combinations for Modeling and Denoising of Oct Images by Modified Morphological Component Analysis, IEEE Transactions on Medical Imaging (2024)
15. Sparse Domain Gaussianization for Multi-Variate Statistical Modeling of Retinal Oct Images, IEEE Transactions on Image Processing (2020)
16. Reconstruction of Optical Coherence Tomography Images Using Mixed Low Rank Approximation and Second Order Tensor Based Total Variation Method, IEEE Transactions on Medical Imaging (2021)
17. Three-Dimensional Optical Coherence Tomography Image Denoising Through Multi-Input Fully-Convolutional Networks, Computers in Biology and Medicine (2019)
18. Stochastic Differential Equations for Automatic Quality Control of Retinal Optical Coherence Tomography Images, Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS (2022)
19. Statistical Modeling of Retinal Optical Coherence Tomography, IEEE Transactions on Medical Imaging (2016)
20. Bandlets on Oriented Graphs: Application to Medical Image Enhancement, IEEE Access (2019)
21. Optical Coherence Tomography Image Denoising Using Gaussianization Transform, Journal of Biomedical Optics (2017)
22. Combining Non-Data-Adaptive Transforms for Oct Image Denoising by Iterative Basis Pursuit, Proceedings - International Conference on Image Processing, ICIP (2022)
23. Mathematical Analysis of Texture Indicators for the Segmentation of Optical Coherence Tomography Images, Optik (2020)
24. Macular Oct Classification Using a Multi-Scale Convolutional Neural Network Ensemble, IEEE Transactions on Medical Imaging (2018)
25. Retinal Optical Coherence Tomography Image Analysis by a Restricted Boltzmann Machine, Biomedical Optics Express (2022)
26. Statistical Modeling of Optical Coherence Tomography Images by Asymmetric Normal Laplace Mixture Model, Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS (2017)
27. Circwavedl: Modeling of Optical Coherence Tomography Images Based on a New Supervised Tensor-Based Dictionary Learning for Classification of Macular Abnormalities, Artificial Intelligence in Medicine (2025)
28. Curvature Correction of Retinal Octs Using Graph-Based Geometry Detection, Physics in Medicine and Biology (2013)
29. A New Convolutional Neural Network Based on Combination of Circlets and Wavelets for Macular Oct Classification, Scientific Reports (2023)
30. Abdominal Ct Image Denoising Based on a Laplace Distribution With Local Variance in Steerable Pyramid Domain, 5th Int. Conference on Information Technology and Applications in Biomedicine, ITAB 2008 in conjunction with 2nd Int. Symposium and Summer School on Biomedical and Health Engineering, IS3BHE 2008 (2008)
31. Automatic Multifaceted Matlab Package for Analysis of Ocular Images (Ampao), SoftwareX (2019)
32. Logarithmic Moments for Mixture of Symmetric Alpha Stable Modelling, IEEE Signal Processing Letters (2022)
33. Geometrical X-Lets for Image Denoising, Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS (2019)
34. Classification of Dry Age-Related Macular Degeneration and Diabetic Macular Oedema From Optical Coherence Tomography Images Using Dictionary Learning, IET Image Processing (2020)
35. A Dual-Discriminator Fourier Acquisitive Gan for Generating Retinal Optical Coherence Tomography Images, IEEE Transactions on Instrumentation and Measurement (2022)
36. Wavelet Scattering Transform Application in Classification of Retinal Abnormalities Using Oct Images, Scientific Reports (2023)
37. Formation and Fusion of Projection Images From 11 Layers of Retina Using Statistical Indicators to Obtain an Image With Appropriate Contrast From the Retinal Depth, Journal of Isfahan Medical School (2013)
38. Forming Optimal Projection Images From Intra-Retinal Layers Using Curvelet-Based Image Fusion Method, Journal of Medical Signals and Sensors (2020)
39. Modeling of Seizure and Seizure-Free Eeg Signals Based on Stochastic Differential Equations, Chaos, Solitons and Fractals (2021)
40. Morphological Component Analysis for Automatic Segmentation of Six Lower Retina Layers in Optical Coherence Tomography Images, Journal of Isfahan Medical School (2016)
41. A Device-Independent, Shape Preserving Retinal Optical Coherence Tomography Image Alignment Method Applying Tv-Unet for Rpe Layer Detection, IEEE Transactions on Instrumentation and Measurement (2022)
42. Image Denoising Employing Local Mixture Models in Sparse Domains, IET Image Processing (2010)
43. Image Denoising in Steerable Pyramid Domain Based on a Local Laplace Prior, Pattern Recognition (2009)
44. An Automatic Algorithm for Segmentation of the Boundaries of Corneal Layers in Optical Coherence Tomography Images Using Gaussian Mixture Model, Journal of Medical Signals and Sensors (2014)
45. Retinal Optical Coherence Tomography Image Classification With Label Smoothing Generative Adversarial Network, Neurocomputing (2020)
46. Intra-Retinal Layer Segmentation of 3D Optical Coherence Tomography Using Coarse Grained Diffusion Map, Medical Image Analysis (2013)
47. Wavelet-Based Convolutional Mixture of Experts Model: An Application to Automatic Diagnosis of Abnormal Macula in Retinal Optical Coherence Tomography Images, Iranian Conference on Machine Vision and Image Processing, MVIP (2017)
48. Wavelet-Domain Medical Image Denoising Using Bivariate Laplacian Mixture Model, IEEE Transactions on Biomedical Engineering (2009)
49. A Statistical Model for 3D Segmentation of Retinal Choroid in Optical Coherence Tomography Images, Progress in Biomedical Optics and Imaging - Proceedings of SPIE (2014)
50. Intra-Retinal Layer Segmentation of Optical Coherence Tomography Using Diffusion Map, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (2013)