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This paper presents a novel Direct Integration Theorem (DIT), derived as a non-trivial corollary of the classical Central Slice Theorem (CST). The DIT provides a mathematically consistent transition from the continuous to the discrete…

Computer Vision and Pattern Recognition · Computer Science 2026-05-14 Mikhail G. Mozerov

In this paper, we explore a novel method for tomographic image reconstruction in the field of SPECT imaging. Deep Learning methodologies and more specifically deep convolutional neural networks (CNN) are employed in the new reconstruction…

Machine Learning · Computer Science 2020-10-20 Charalambos Chrysostomou , Loizos Koutsantonis , Christos Lemesios , Costas N. Papanicolas

Unsupervised out-of-distribution (OOD) detection aims to identify out-of-domain data by learning only from unlabeled In-Distribution (ID) training samples, which is crucial for developing a safe real-world machine learning system. Current…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Ying Yang , De Cheng , Chaowei Fang , Yubiao Wang , Changzhe Jiao , Lechao Cheng , Nannan Wang

Abstract Objective. Cone-beam computed tomography is becoming more and more popular in applications such as 3D dental imaging. Iterative methods compared to the standard Feldkamp algorithm have shown improvements in image quality of…

Signal Processing · Electrical Eng. & Systems 2024-11-15 Louise Friot-Giroux , Françoise Peyrin , Voichita Maxim

Four-dimensional computed tomography (4DCT) is essential for medical imaging applications like radiotherapy, which demand precise respiratory motion representation. Traditional methods for reconstructing 4DCT data suffer from artifacts and…

Medical Physics · Physics 2025-07-21 Antoine De Paepe , Alexandre Bousse , Clémentine Phung-Ngoc , Dimitris Visvikis

Low-dose computed tomography (LDCT) aims to minimize the radiation exposure to patients while maintaining diagnostic image quality. However, traditional CT reconstruction algorithms often struggle with the ill-posed nature of the problem,…

Image and Video Processing · Electrical Eng. & Systems 2024-10-17 Daisy Chen

Low-dose CT (LDCT) imaging attracted a considerable interest for the reduction of the object's exposure to X-ray radiation. In recent years, supervised deep learning (DL) has been extensively studied for LDCT image reconstruction, which…

Image and Video Processing · Electrical Eng. & Systems 2022-10-06 Qiaoqiao Ding , Hui Ji , Yuhui Quan , Xiaoqun Zhang

Deep learning (DL) has shown unprecedented performance for many image analysis and image enhancement tasks. Yet, solving large-scale inverse problems like tomographic reconstruction remains challenging for DL. These problems involve…

Medical Physics · Physics 2019-12-18 Lin Fu , Bruno De Man

Diffraction tomography is a widely used inverse scattering technique for quantitative imaging of weakly scattering media. In its conventional formulation, diffraction tomography assumes monochromatic plane wave illumination. This…

Numerical Analysis · Mathematics 2026-03-11 Peter Elbau , Noemi Naujoks , Otmar Scherzer

Positron Emission Tomography (PET) is an important molecular imaging tool widely used in medicine. Traditional PET systems rely on complete detector rings for full angular coverage and reliable data collection. However, incomplete-ring PET…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Yeqi Fang , Rong Zhou

Sparse-view Computed Tomography (CT) reconstructs images from a limited number of X-ray projections to reduce radiation and scanning time, which makes reconstruction an ill-posed inverse problem. Deep learning methods achieve high-fidelity…

Image and Video Processing · Electrical Eng. & Systems 2025-12-16 Aujasvit Datta , Jiayun Wang , Asad Aali , Armeet Singh Jatyani , Anima Anandkumar

A deep learning-assisted inversion method is proposed to solve the inhomogeneous background imaging problem. Three non-iterative methods, namely the distorted-Born (DB) major current coefficients method, the DB modified Born approximation…

Applied Physics · Physics 2023-12-12 Naike Du , Tiantian Yin , Jing Wang , Rencheng Song , Kuiwen Xu , Bingyuan Liang , Sheng Sun , Xiuzhu Ye

We present an alternative numerical reconstruction algorithm for direct tomographic reconstruction of a sample refractive indices from the measured intensities of its far-field coherent diffraction patterns. We formulate the well-known…

Computational Physics · Physics 2019-02-06 T. Ramos , Bastian E. Grønager , Martin Skovgaard Andersen , J. W. Andreasen

Due to its non-invasive and non-radiating nature, along with its low cost, ultrasound (US) imaging is widely used in medical applications. Typical B-mode US images have limited resolution and contrast and weak physical interpretation.…

Signal Processing · Electrical Eng. & Systems 2022-05-18 Avner Shultzman , Yonina C. Eldar

In optical tomography a physical body is illuminated with near-infrared light and the resulting outward photon flux is measured at the object boundary. The goal is to reconstruct internal optical properties of the body, such as absorption…

Numerical Analysis · Mathematics 2016-01-20 Antti Hannukainen , Lauri Harhanen , Nuutti Hyvönen , Helle Majander

Recent works demonstrate the effectiveness of diffusion models as unsupervised solvers for inverse imaging problems. Sparse-view computed tomography (CT) has greatly benefited from these advancements, achieving improved generalization…

Image and Video Processing · Electrical Eng. & Systems 2025-05-28 Ezgi Demircan-Tureyen , Felix Lucka , Tristan van Leeuwen

The restoration of nonlinearly distorted audio signals, alongside the identification of the applied memoryless nonlinear operation, is studied. The paper focuses on the difficult but practically important case in which both the nonlinearity…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-13 Michal Švento , Eloi Moliner , Lauri Juvela , Alec Wright , Vesa Välimäki

We study iterative signal reconstruction in computed tomography (CT), wherein measurements are produced by a linear transformation of the unknown signal followed by an exponential nonlinear map. Approaches based on pre-processing the data…

Optimization and Control · Mathematics 2024-07-19 Vasileios Charisopoulos , Rebecca Willett

Digital breast tomosynthesis (DBT) exams should utilize the lowest possible radiation dose while maintaining sufficiently good image quality for accurate medical diagnosis. In this work, we propose a convolution neural network (CNN) to…

Image and Video Processing · Electrical Eng. & Systems 2022-03-23 Rodrigo de Barros Vimieiro , Chuang Niu , Hongming Shan , Lucas Rodrigues Borges , Ge Wang , Marcelo Andrade da Costa Vieira

Objective. Dual-energy computed tomography (DECT) has the potential to improve contrast, reduce artifacts and the ability to perform material decomposition in advanced imaging applications. The increased number or measurements results with…

Image and Video Processing · Electrical Eng. & Systems 2022-03-14 Alessandro Perelli , Suxer Alfonso Garcia , Alexandre Bousse , Jean-Pierre Tasu , Nikolaos Efthimiadis , Dimitris Visvikis