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While filtered back projection (FBP) is still the method of choice for fast tomographic reconstruction, its performance degrades noticeably in the presence of noise, incomplete sampling, or non-standard scan geometries. We propose a…

Numerical Analysis · Mathematics 2026-02-16 Hamid Fathi , Alexander Skorikov , Tristan van Leeuwen

Deep learning has been widely employed to solve the Electrical Impedance Tomography (EIT) image reconstruction problem. Most existing physical model-based and learning-based approaches focus on 2D EIT image reconstruction. However, when…

Image and Video Processing · Electrical Eng. & Systems 2022-09-01 Zhaoguang Yi , Zhou Chen , Yunjie Yang

While initially devised for image categorization, convolutional neural networks (CNNs) are being increasingly used for the pixelwise semantic labeling of images. However, the proper nature of the most common CNN architectures makes them…

Computer Vision and Pattern Recognition · Computer Science 2017-04-24 Emmanuel Maggiori , Guillaume Charpiat , Yuliya Tarabalka , Pierre Alliez

Computed Tomography (CT) is a non-invasive imaging modality with applications ranging from healthcare to security. It reconstructs cross-sectional images of an object using a collection of projection data collected at different angles.…

Image and Video Processing · Electrical Eng. & Systems 2019-09-04 Muhammad Usman Ghani , W. Clem Karl

State of the art methods in astronomical image reconstruction rely on the resolution of a regularized or constrained optimization problem. Solving this problem can be computationally intensive and usually leads to a quadratic or at least…

Computer Vision and Pattern Recognition · Computer Science 2017-06-08 Rémi Flamary

Cone Beam CT (CBCT) is an essential imaging modality nowadays, but the image quality of CBCT still lags behind the high quality standards established by the conventional Computed Tomography. We propose LIRE+, a learned iterative scheme for…

Medical Physics · Physics 2024-01-23 Nikita Moriakov , Jan-Jakob Sonke , Jonas Teuwen

Diffuse optical tomography (DOT) utilises near-infrared light for imaging spatially distributed optical parameters, typically the absorption and scattering coefficients. The image reconstruction problem of DOT is an ill-posed inverse…

Computational Physics · Physics 2021-12-15 Meghdoot Mozumder , Andreas Hauptmann , Ilkka Nissilä , Simon R. Arridge , Tanja Tarvainen

Inspired by their success in solving challenging inverse problems in computer vision, implicit neural representations (INRs) have been recently proposed for reconstruction in low-dose/sparse-view X-ray computed tomography (CT). An INR…

Image and Video Processing · Electrical Eng. & Systems 2025-04-21 Mahrokh Najaf , Gregory Ongie

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

Traditional maximum entropy and sparsity-based algorithms for analytic continuation often suffer from the ill-posed kernel matrix or demand tremendous computation time for parameter tuning. Here we propose a neural network method by convex…

Machine Learning · Computer Science 2022-02-07 Dongchen Huang , Yi-feng Yang

We develop a numerical method to reconstruct systems of ordinary differential equations (ODEs) from time series data without {\it a priori} knowledge of the underlying ODEs using sparse basis learning and sparse function reconstruction. We…

Data Analysis, Statistics and Probability · Physics 2016-05-19 Manuel Mai , Mark D. Shattuck , Corey S. O'Hern

Continuous-depth neural networks, such as Neural ODEs, have refashioned the understanding of residual neural networks in terms of non-linear vector-valued optimal control problems. The common solution is to use the adjoint sensitivity…

Machine Learning · Computer Science 2022-02-16 Andrew Corbett , Dmitry Kangin

Phase retrieval, the problem of recovering lost phase information from measured intensity alone, is an inverse problem that is widely faced in various imaging modalities ranging from astronomy to nanoscale imaging. The current process of…

Image and Video Processing · Electrical Eng. & Systems 2024-06-12 Henry Chan , Youssef S. G. Nashed , Saugat Kandel , Stephan Hruszkewycz , Subramanian Sankaranarayanan , Ross J. Harder , Mathew J. Cherukara

This paper considers a convolutional neural network transformation that reduces computation complexity and thus speedups neural network processing. Usage of convolutional neural networks (CNN) is the standard approach to image recognition…

Computer Vision and Pattern Recognition · Computer Science 2020-02-19 Elena Limonova , Alexander Sheshkus , Dmitry Nikolaev

An approach to incorporate deep learning within an iterative image reconstruction framework to reconstruct images from severely incomplete measurement data is presented. Specifically, we utilize a convolutional neural network (CNN) as a…

Computer Vision and Pattern Recognition · Computer Science 2017-09-05 Brendan Kelly , Thomas P. Matthews , Mark A. Anastasio

With the improvement of the pattern recognition and feature extraction of Deep Neural Networks (DPNNs), image-based design and optimization have been widely used in multidisciplinary researches. Recently, a Reconstructive Neural Network…

Other Computer Science · Computer Science 2019-06-04 Yu Li , Hu Wang , Wenquan Shuai , Honghao Zhang , Yong Peng

Data-driven deep learning has been successfully applied to various computed tomographic reconstruction problems. The deep inference models may outperform existing analytical and iterative algorithms, especially in ill-posed CT…

Machine Learning · Computer Science 2023-07-13 Hyojin Kim , Kyle Champley

We introduce a new CT image reconstruction algorithm that is less affected by various artifacts. The new reconstruction algorithm is a method of minimizing the difference between synchrotron X-ray tomography data and sinograms generated…

Medical Physics · Physics 2021-11-22 Byung Chun Kim , Hyunju Lee , Kyungtaek Jun

Neural implicit representations have emerged as a powerful paradigm for 3D reconstruction. However, despite their success, existing methods fail to capture fine geometric details and thin structures, especially in scenarios where only…

Computer Vision and Pattern Recognition · Computer Science 2025-04-23 Aarya Patel , Hamid Laga , Ojaswa Sharma

Background: Limited-angle (LA) dual-energy (DE) cone-beam CT (CBCT) is considered as a potential solution to achieve fast and low-dose DE imaging on current CBCT scanners without hardware modification. However, its clinical implementations…