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Related papers: Radon Inversion via Deep Learning

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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

Deep learning (DL) methods have been extensively applied to various image recovery problems, including magnetic resonance imaging (MRI) and computed tomography (CT) reconstruction. Beyond supervised models, other approaches have been…

Image and Video Processing · Electrical Eng. & Systems 2024-12-24 Shijun Liang , Ismail Alkhouri , Qing Qu , Rongrong Wang , Saiprasad Ravishankar

Deep learning (DL) is a powerful tool in computational imaging for many applications. A common strategy is to reconstruct a preliminary image as the input of a neural network to achieve an optimized image. Usually, the preliminary image is…

Image and Video Processing · Electrical Eng. & Systems 2021-05-12 Ruibo Shang , Kevin Hoffer-Hawlik , Geoffrey P. Luke

Synchrotron radiation sources are widely used in various fields, among which computed tomography (CT) is one of the most important. The amount of effort expended by the operator varies depending on the subject. If the number of angles…

Image and Video Processing · Electrical Eng. & Systems 2021-09-08 Ling Li , Yu Hu

The R2D2 Deep Neural Network (DNN) series was recently introduced for image formation in radio interferometry. It can be understood as a learned version of CLEAN, whose minor cycles are substituted with DNNs. We revisit R2D2 on the grounds…

Instrumentation and Methods for Astrophysics · Physics 2025-10-02 Amir Aghabiglou , Chung San Chu , Chao Tang , Arwa Dabbech , Yves Wiaux

Image reconstruction plays a critical role in the implementation of all contemporary imaging modalities across the physical and life sciences including optical, MRI, CT, PET, and radio astronomy. During an image acquisition, the sensor…

Computer Vision and Pattern Recognition · Computer Science 2018-04-18 Bo Zhu , Jeremiah Z. Liu , Bruce R. Rosen , Matthew S. Rosen

We propose iterative inversion algorithms for weighted Radon transforms $R_W$ along hyperplanes in $R^3$. More precisely, expandingthe weight $W = W (x, \theta), x \in R^3 , \theta \in S^2$ , into the series of spherical harmonics in…

Mathematical Physics · Physics 2017-11-22 F Goncharov

The aim of this research is to reconstruct the 3D X-ray refractive index gradient maps by the proposed vector Radon transform and its inverse, assuming that the small-angle deviation condition is met. Theoretical analyses show that the…

Medical Physics · Physics 2023-09-20 Keliang Liao , Qili He , Panyun Li , Liang Luo , Peiping Zhu

The article suggests a new approach what is called a consistency method for the inversion of the spherical Radon transform in 2D with detectors on a line. It is known that there is not an exact inversion formula in 2D. By means of the…

Numerical Analysis · Mathematics 2017-05-31 Rafik Aramyan

Deep learning has become a prominent computational modeling tool in the areas of computer vision and image processing in recent years. This research comprehensively analyzes the different deep-learning methods used for image-to-image…

Image and Video Processing · Electrical Eng. & Systems 2023-03-17 Yuda Bi

Generalized Abel equations have been employed in the recent literature to invert Radon transforms which arise in a number of important imaging applications, including Compton Scatter Tomography (CST), Ultrasound Reflection Tomography (URT),…

Functional Analysis · Mathematics 2023-06-16 James W. Webber

The 3D reconstruction of faces gains wide attention in computer vision and is used in many fields of application, for example, animation, virtual reality, and even forensics. This work is motivated by monitoring patients in sleep…

Computer Vision and Pattern Recognition · Computer Science 2025-02-06 Valentin Braeutigam , Vanessa Wirth , Ingrid Ullmann , Christian Schüßler , Martin Vossiek , Matthias Berking , Bernhard Egger

Data acquisition in array signal processing (ASP) is costly because achieving high angular and range resolutions necessitates large antenna apertures and wide frequency bandwidths, respectively. The data requirements for ASP problems grow…

Signal Processing · Electrical Eng. & Systems 2024-12-10 Daqian Bao , Alex Saad-Falcon , Justin Romberg

Although deep learning (DL) has received much attention in accelerated magnetic resonance imaging (MRI), recent studies show that tiny input perturbations may lead to instabilities of DL-based MRI reconstruction models. However, the…

Image and Video Processing · Electrical Eng. & Systems 2022-11-22 Jinghan Jia , Mingyi Hong , Yimeng Zhang , Mehmet Akçakaya , Sijia Liu

Objective: There exist several X-ray computed tomography (CT) scanning strategies to reduce a radiation dose, such as (1) sparse-view CT, (2) low-dose CT, and (3) region-of-interest (ROI) CT (called interior tomography). To further reduce…

Image and Video Processing · Electrical Eng. & Systems 2025-01-10 Yoseob Han , Dufan Wu , Kyungsang Kim , Quanzheng Li

Recent advancements in deep learning for automated image processing and classification have accelerated many new applications for medical image analysis. However, most deep learning applications have been developed using reconstructed,…

Computer Vision and Pattern Recognition · Computer Science 2018-12-05 Hyunkwang Lee , Chao Huang , Sehyo Yune , Shahein H. Tajmir , Myeongchan Kim , Synho Do

Super-resolution of LiDAR range images is crucial to improving many downstream tasks such as object detection, recognition, and tracking. While deep learning has made a remarkable advances in super-resolution techniques, typical…

Robotics · Computer Science 2022-03-15 Youngsun Kwon , Minhyuk Sung , Sung-Eui Yoon

X-ray Computed Tomography (CT) is widely used in clinical applications such as diagnosis and image-guided interventions. In this paper, we propose a new deep learning based model for CT image reconstruction with the backbone network…

Image and Video Processing · Electrical Eng. & Systems 2020-09-21 Haimiao Zhang , Baodong Liu , Hengyong Yu , Bin Dong

Based on its great successes in inference and denosing tasks, Dictionary Learning (DL) and its related sparse optimization formulations have garnered a lot of research interest. While most solutions have focused on single layer…

Machine Learning · Computer Science 2021-04-22 Wen Tang , Emilie Chouzenoux , Jean-Christophe Pesquet , Hamid Krim

We introduce a method for fast estimation of data-adapted, spatio-temporally dependent regularization parameter-maps for variational image reconstruction, focusing on total variation (TV)-minimization. Our approach is inspired by recent…

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