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Patients suffering from pulmonary diseases typically exhibit pathological lung ventilation in terms of homogeneity. Electrical Impedance Tomography (EIT) is a non-invasive imaging method that allows to analyze and quantify the distribution…

Diffusion models have recently shown promise as powerful generative priors for inverse problems. However, conventional applications require solving the full reverse diffusion process and operating on noisy intermediate states, which poses…

Geophysics · Physics 2025-06-13 Yuke Xie , Hervé Chauris , Nicolas Desassis

Diffusion model (DM) has achieved SOTA performance by modeling the image synthesis process into a sequential application of a denoising network. However, different from image synthesis, image restoration (IR) has a strong constraint to…

Computer Vision and Pattern Recognition · Computer Science 2023-08-17 Bin Xia , Yulun Zhang , Shiyin Wang , Yitong Wang , Xinglong Wu , Yapeng Tian , Wenming Yang , Luc Van Gool

Graph Neural Networks struggle to capture long-range dependencies due to over-squashing, where information from exponentially growing neighborhoods must pass through a small number of structural bottlenecks. While recent rewiring methods…

Machine Learning · Computer Science 2026-03-13 Bertran Miquel-Oliver , Manel Gil-Sorribes , Victor Guallar , Alexis Molina

A direct three dimensional EIT reconstruction algorithm based on complex geometrical optics solutions and a nonlinear scattering transform is presented and implemented for spherically symmetric conductivity distributions. The scattering…

Analysis of PDEs · Mathematics 2010-03-22 Jutta Bikowski , Kim Knudsen , Jennifer Mueller

Phase retrieval aims to recover a signal from intensity-only measurements, a fundamental problem in many fields such as imaging, holography, optical computing, crystallography, and microscopy. Although there are several well-known phase…

Image and Video Processing · Electrical Eng. & Systems 2026-01-21 Mehmet Onurcan Kaya , Figen S. Oktem

This paper presents a static electrical impedance tomography (EIT) technique that evaluates abdominal obesity by estimating the thickness of subcutaneous fat. EIT has a fundamental drawback for absolute admittivity imaging because of its…

Numerical Analysis · Mathematics 2016-07-21 Habib Ammari , Hyeuknam Kwon , Seungri Lee , Jin Keun Seo

Illumination degradation image restoration (IDIR) techniques aim to improve the visibility of degraded images and mitigate the adverse effects of deteriorated illumination. Among these algorithms, diffusion model (DM)-based methods have…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Chunming He , Chengyu Fang , Yulun Zhang , Tian Ye , Kai Li , Longxiang Tang , Zhenhua Guo , Xiu Li , Sina Farsiu

Diffusion magnetic resonance imaging (dMRI) enables non-invasive investigation of tissue microstructure. The Standard Model (SM) of white matter aims to disentangle dMRI signal contributions from intra- and extra-axonal water compartments.…

Image and Video Processing · Electrical Eng. & Systems 2026-04-15 Tom Hendriks , Gerrit Arends , Edwin Versteeg , Anna Vilanova , Maxime Chamberland , Chantal M. W. Tax

In this work we develop and analyze an adaptive finite element method for efficiently solving electrical impedance tomography -- a severely ill-posed nonlinear inverse problem for recovering the conductivity from boundary voltage…

Numerical Analysis · Mathematics 2019-05-16 Bangti Jin , Yifeng Xu , Jun Zou

Diffusion models have been widely utilized for image restoration. However, previous blind image restoration methods still need to assume the type of degradation model while leaving the parameters to be optimized, limiting their real-world…

Computer Vision and Pattern Recognition · Computer Science 2024-11-20 Siwei Tu , Weidong Yang , Ben Fei

Ultrafast ultrasound imaging enables visualization of rapid physiological dynamics by acquiring data at exceptionally high frame rates. However, this speed often comes at the cost of spatial resolution and image quality due to unfocused…

Image and Video Processing · Electrical Eng. & Systems 2025-10-08 Rémi Delaunay , Christoph Hennersperger , Stefan Wörz

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

Building on the well-known total-variation (TV), this paper develops a general regularization technique based on nonlinear isotropic diffusion (NID) for inverse problems with piecewise smooth solutions. The novelty of our approach is to be…

Numerical Analysis · Mathematics 2021-08-25 Bernadette N. Hahn , Gael Rigaud , Richard Schmähl

Positron emission tomography (PET) reconstruction is a critical challenge in molecular imaging, often hampered by noise amplification, structural blurring, and detail loss due to sparse sampling and the ill-posed nature of inverse problems.…

Computer Vision and Pattern Recognition · Computer Science 2026-02-13 Mengxiao Geng , Zijie Chen , Ran Hong , Bingxuan Li , Qiegen Liu

This paper aims at mathematically modeling a new multi-physics conductivity imaging system incorporating mechanical vibrations simultaneously applied to an imaging object together with current injections. We perturb the internal…

Medical Physics · Physics 2014-05-20 Habib Ammari , Eunjung Lee , Hyeuknam Kwon , Jin Keun Seo , Eung Je Woo

Implicit neural representations (INRs) have demonstrated strong capabilities in various medical imaging tasks, such as denoising, registration, and segmentation, by representing images as continuous functions, allowing complex details to be…

Image and Video Processing · Electrical Eng. & Systems 2025-03-31 Younès Moussaoui , Diana Mateus , Nasrin Taheri , Saïd Moussaoui , Thomas Carlier , Simon Stute

There has been significant recent interest in the use of deep learning for regularizing imaging inverse problems. Most work in the area has focused on regularization imposed implicitly by convolutional neural networks (CNNs) pre-trained for…

Image and Video Processing · Electrical Eng. & Systems 2023-03-10 Zihao Zou , Jiaming Liu , Brendt Wohlberg , Ulugbek S. Kamilov

This paper proposes a regularizer called Implicit Neural Representation Regularizer (INRR) to improve the generalization ability of the Implicit Neural Representation (INR). The INR is a fully connected network that can represent signals…

Machine Learning · Computer Science 2023-03-29 Zhemin Li , Hongxia Wang , Deyu Meng

Visual autoregressive (AR) generation offers a promising path toward unifying vision and language models, yet its performance remains suboptimal against diffusion models. Prior work often attributes this gap to tokenizer limitations and…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Qiyuan He , Yicong Li , Haotian Ye , Jinghao Wang , Xinyao Liao , Pheng-Ann Heng , Stefano Ermon , James Zou , Angela Yao