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Due to its noninvasive character, optical coherence tomography (OCT) has become a popular diagnostic method in clinical settings. However, the low-coherence interferometric imaging procedure is inevitably contaminated by heavy speckle…

Image and Video Processing · Electrical Eng. & Systems 2020-07-08 Yongqiang Huang , Wenjun Xia , Zexin Lu , Yan Liu , Hu Chen , Jiliu Zhou , Leyuan Fang , Yi Zhang

Optical Coherence Tomography (OCT) is pervasive in both the research and clinical practice of Ophthalmology. However, OCT images are strongly corrupted by noise, limiting their interpretation. Current OCT denoisers leverage assumptions on…

Image and Video Processing · Electrical Eng. & Systems 2020-08-19 Guillaume Gisbert , Neel Dey , Hiroshi Ishikawa , Joel Schuman , James Fishbaugh , Guido Gerig

In this chapter a general mathematical model of Optical Coherence Tomography (OCT) is presented on the basis of the electromagnetic theory. OCT produces high resolution images of the inner structure of biological tissues. Images are…

Numerical Analysis · Mathematics 2016-04-19 Peter Elbau , Leonidas Mindrinos , Otmar Scherzer

In this article, we introduce and analyze a deep learning based approximation algorithm for SPDEs. Our approach employs neural networks to approximate the solutions of SPDEs along given realizations of the driving noise process. If applied…

Numerical Analysis · Mathematics 2025-10-21 Christian Beck , Sebastian Becker , Patrick Cheridito , Arnulf Jentzen , Ariel Neufeld

Optical coherence tomography (OCT) captures cross-sectional data and is used for the screening, monitoring, and treatment planning of retinal diseases. Technological developments to increase the speed of acquisition often results in systems…

Image and Video Processing · Electrical Eng. & Systems 2023-01-03 Timothy T. Yu , Da Ma , Jayden Cole , Myeong Jin Ju , Mirza F. Beg , Marinko V. Sarunic

Optical coherence tomography (OCT) is commonly used to analyze retinal layers for assessment of ocular diseases. In this paper, we propose a method for retinal layer segmentation and quantification of uncertainty based on Bayesian deep…

Computer Vision and Pattern Recognition · Computer Science 2018-09-13 Suman Sedai , Bhavna Antony , Dwarikanath Mahapatra , Rahil Garnavi

Optical coherence tomography (OCT) is a medical imaging modality that allows us to probe deeper substructures of skin. The state-of-the-art wound care prediction and monitoring methods are based on visual evaluation and focus on surface…

Image and Video Processing · Electrical Eng. & Systems 2023-06-05 Prashant Kumar , Swatantra Dhara , Ayan Gope , Jyotirmoy Chatterjee , Subhamoy Mandal

Strong speckle noise is inherent to optical coherence tomography (OCT) imaging and represents a significant obstacle for accurate quantitative analysis of retinal structures which is key for advances in clinical diagnosis and monitoring of…

Image and Video Processing · Electrical Eng. & Systems 2023-12-11 Shijie Li , Palaiologos Alexopoulos , Anse Vellappally , Ronald Zambrano , Wollstein Gadi , Guido Gerig

Reducing the bit-depth is an effective approach to lower the cost of optical coherence tomography (OCT) systems and increase the transmission efficiency in data acquisition and telemedicine. However, a low bit-depth will lead to the…

Image and Video Processing · Electrical Eng. & Systems 2021-02-03 Qiangjiang Hao , Kang Zhou , Jianlong Yang , Liyang Fang , Zhengjie Chai , Yuhui Ma , Yan Hu , Shenghua Gao , Jiang Liu

Conventional Fourier-domain Optical Coherence Tomography (FD-OCT) systems depend on resampling into wavenumber (k) domain to extract the depth profile. This either necessitates additional hardware resources or amplifies the existing…

Optics · Physics 2025-09-24 Maryam Viqar , Erdem Sahin , Elena Stoykova , Violeta Madjarova

Optical coherence tomography (OCT) is a prevalent non-invasive imaging method which provides high resolution volumetric visualization of retina. However, its inherent defect, the speckle noise, can seriously deteriorate the tissue…

Computer Vision and Pattern Recognition · Computer Science 2022-01-31 Dewei Hu , Yuankai K. Tao , Ipek Oguz

Optical coherence tomography (OCT) is a prevalent imaging technique for retina. However, it is affected by multiplicative speckle noise that can degrade the visibility of essential anatomical structures, including blood vessels and tissue…

Image and Video Processing · Electrical Eng. & Systems 2021-07-12 Dewei Hu , Joseph D. Malone , Yigit Atay , Yuankai K. Tao , Ipek Oguz

In this paper, we develop a kernel learning backward SDE filter method to estimate the state of a stochastic dynamical system based on its partial noisy observations. A system of forward backward stochastic differential equations is used to…

Numerical Analysis · Mathematics 2022-01-27 Richard Archibald , Feng Bao

A significant research problem of recent interest is the localization of targets like vessels, surgical needles, and tumors in photoacoustic (PA) images. To achieve accurate localization, a high photoacoustic signal-to-noise ratio (SNR) is…

Image and Video Processing · Electrical Eng. & Systems 2021-05-03 Amirsaeed Yazdani , Sumit Agrawal , Kerrick Johnstonbaugh , Sri-Rajasekhar Kothapalli , Vishal Monga

Purpose: To develop a deep learning approach to de-noise optical coherence tomography (OCT) B-scans of the optic nerve head (ONH). Methods: Volume scans consisting of 97 horizontal B-scans were acquired through the center of the ONH using a…

Dynamic optical coherence tomography (DOCT) statistically analyzes fluctuations in time-sequential OCT signals, enabling label-free and three-dimensional visualization of intratissue and intracellular activities. Current DOCT methods, such…

Density reconstruction from X-ray projections is an important problem in radiography with key applications in scientific and industrial X-ray computed tomography (CT). Often, such projections are corrupted by unknown sources of noise and…

Image and Video Processing · Electrical Eng. & Systems 2026-02-26 Siddhant Gautam , Marc L. Klasky , Balasubramanya T. Nadiga , Trevor Wilcox , Gary Salazar , Saiprasad Ravishankar

The problem of image reconstruction under multiple light scattering is usually formulated as a regularized non-convex optimization. A deep learning architecture, Scattering Decoder (ScaDec), was recently proposed to solve this problem in a…

Computer Vision and Pattern Recognition · Computer Science 2018-12-05 Yu Sun , Ulugbek S. Kamilov

We consider the inverse problem of determining the geometry of penetrable objects from scattering data generated by one incident wave at a fixed frequency. We first study an orthogonality sampling type method which is fast, simple to…

Numerical Analysis · Mathematics 2022-07-21 Thu Le , Dinh-Liem Nguyen , Vu Nguyen , Trung Truong

Spectral Domain Optical Coherence Tomography (SD-OCT) is a well-known imaging modality which allows for \textit{in-vivo} visualization of the morphology of different biological tissues at cellular level resolutions. The overall SD-OCT…