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Radon transform is widely used in physical and life sciences and one of its major applications is the X-ray computed tomography (X-ray CT), which is significant in modern health examination. The Radon inversion or image reconstruction is…

Computer Vision and Pattern Recognition · Computer Science 2018-08-10 Ji He , Jianhua Ma

We propose Noisier2Inverse, a correction-free self-supervised deep learning approach for general inverse problems. The proposed method learns a reconstruction function without the need for ground truth samples and is applicable in cases…

Computer Vision and Pattern Recognition · Computer Science 2025-03-30 Nadja Gruber , Johannes Schwab , Markus Haltmeier , Ander Biguri , Clemens Dlaska , Gyeongha Hwang

Machine learning has achieved impressive performance in tomographic reconstruction, but supervised training requires paired measurements and ground-truth images that are often unavailable. This has motivated self-supervised approaches,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Markus Haltmeier , Lukas Neumann , Nadja Gruber , Gyeongha Hwang

Image reconstruction from undersampled k-space data has been playing an important role for fast MRI. Recently, deep learning has demonstrated tremendous success in various fields and also shown potential to significantly speed up MR…

Image and Video Processing · Electrical Eng. & Systems 2019-07-30 Dong Liang , Jing Cheng , Ziwen Ke , Leslie Ying

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

Applying standard algorithms to sparse data problems in photoacoustic tomography (PAT) yields low-quality images containing severe under-sampling artifacts. To some extent, these artifacts can be reduced by iterative image reconstruction…

Numerical Analysis · Mathematics 2024-12-20 Stephan Antholzer , Johannes Schwab , Robert Nuster , Markus Haltmeier

This paper is concerned with the inverse problem of reconstructing an inhomogeneous medium from the acoustic far-field data at a fixed frequency in two dimensions. This inverse problem is severely ill-posed (and also strongly nonlinear),…

Numerical Analysis · Mathematics 2023-09-21 Kai Li , Bo Zhang , Haiwen Zhang

Optical Diffraction Tomography (ODT) is a powerful non-invasive imaging technique widely used in biological and medical applications. While significant progress has been made in transmission configuration, reflection ODT remains challenging…

Optics · Physics 2026-05-14 Thomas Wasik , Victor Barolle , Alexandre Aubry , Josselin Garnier

The paper studies an imaging problem in the diffusive ultrasound-modulated bioluminescence tomography with partial boundary measurement in an anisotropic medium. Assuming plane-wave modulation, we transform the imaging problem to an inverse…

Analysis of PDEs · Mathematics 2024-04-05 Tianyu Yang , Yang Yang

This study proposes a novel approach utilizing a physics-informed deep learning (DL) algorithm to reconstruct occluded objects in a terahertz (THz) holographic system. Taking the angular spectrum theory as prior knowledge, we generate a…

Optics · Physics 2024-08-26 Mingjun Xiang , Kai Zhou , Hui Yuan , Hartmut G. Roskos

Deep Learning in Image Registration (DLIR) methods have been tremendously successful in image registration due to their speed and ability to incorporate weak label supervision at training time. However, existing DLIR methods forego many of…

Computer Vision and Pattern Recognition · Computer Science 2025-05-06 Rohit Jena , Pratik Chaudhari , James C. Gee

4D time-space reconstruction of dynamic events or deforming objects using X-ray computed tomography (CT) is an important inverse problem in non-destructive evaluation. Conventional back-projection based reconstruction methods assume that…

Image and Video Processing · Electrical Eng. & Systems 2025-02-27 K. Aditya Mohan , Massimiliano Ferrucci , Chuck Divin , Garrett A. Stevenson , Hyojin Kim

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

Score-based diffusion models are a recently developed framework for posterior sampling in Bayesian inverse problems with a state-of-the-art performance for severely ill-posed problems by leveraging a powerful prior distribution learned from…

With the development of deep learning, medical image processing has been widely used to assist clinical research. This paper focuses on the denoising problem of low-dose computed tomography using deep learning. Although low-dose computed…

Image and Video Processing · Electrical Eng. & Systems 2026-05-19 Zhilin Guan , Wei Zhang

In this paper we present a generalized Deep Learning-based approach for solving ill-posed large-scale inverse problems occuring in medical image reconstruction. Recently, Deep Learning methods using iterative neural networks and cascaded…

Image and Video Processing · Electrical Eng. & Systems 2020-08-26 Andreas Kofler , Markus Haltmeier , Tobias Schaeffter , Marc Kachelrieß , Marc Dewey , Christian Wald , Christoph Kolbitsch

Fluorescence molecular tomography (FMT) is a sensitive optical imaging technology widely used in biomedical research. However, the ill-posedness of the inverse problem poses a huge challenge to FMT reconstruction. Although end-to-end deep…

Image and Video Processing · Electrical Eng. & Systems 2025-03-18 Peng Zhang , Qianqian Xue , Xingyu Liu , Guanglei Zhang , Wenjian Wang , Jiye Liang

Optical diffraction tomography measures the three-dimensional refractive index map of a specimen and visualizes biochemical phenomena at the nanoscale in a non-destructive manner. One major drawback of optical diffraction tomography is poor…

Image and Video Processing · Electrical Eng. & Systems 2020-09-30 DongHun Ryu , Dongmin Ryu , YoonSeok Baek , Hyungjoo Cho , Geon Kim , Young Seo Kim , Yongki Lee , Yoosik Kim , Jong Chul Ye , Hyun-Seok Min , YongKeun Park

We propose a model-based deep learning architecture for the reconstruction of highly accelerated diffusion magnetic resonance imaging (MRI) that enables high resolution imaging. The proposed reconstruction jointly recovers all the diffusion…

Image and Video Processing · Electrical Eng. & Systems 2020-01-24 Merry P. Mani , Hemant K. Aggarwal , Sanjay Ghosh , Mathews Jacob

We present a Machine Learning-based method for tomographic reconstruction of dense layered objects, with range of projection angles limited to $\pm $10$^\circ$. Whereas previous approaches to phase tomography generally require two steps,…

Image and Video Processing · Electrical Eng. & Systems 2020-01-08 Alexandre Goy , Girish Rughoobur , Shuai Li , Kwabena Arthur , Akintunde I. Akinwande , George Barbastathis
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