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Solving inverse problems requires appropriate regularization techniques to ensure well-posedness and stability. In recent years, denoiser-driven methods have emerged as effective regularization strategies, achieving state-of-the-art…

Numerical Analysis · Mathematics 2026-04-23 Harshit Bajpai , Ankik Kumar Giri , Tim Jahn , Abhinav Jha

We consider the problem of estimating a vector from its noisy measurements using a prior specified only through a denoising function. Recent work on plug-and-play priors (PnP) and regularization-by-denoising (RED) has shown the…

Computer Vision and Pattern Recognition · Computer Science 2019-09-23 Yu Sun , Jiaming Liu , Ulugbek S. Kamilov

Plug-and-Play (PnP) and Regularization-by-Denoising (RED) are recent paradigms for image reconstruction that leverage the power of modern denoisers for image regularization. In particular, they have been shown to deliver state-of-the-art…

Image and Video Processing · Electrical Eng. & Systems 2024-02-27 Pravin Nair , Kunal N. Chaudhury

Combining dual-energy computed tomography (DECT) with positron emission tomography (PET) offers many potential clinical applications but typically requires expensive hardware upgrades or increases radiation doses on PET/CT scanners due to…

Medical Physics · Physics 2024-06-21 Siqi Li , Yansong Zhu , Benjamin A. Spencer , Guobao Wang

One key ingredient of image restoration is to define a realistic prior on clean images to complete the missing information in the observation. State-of-the-art restoration methods rely on a neural network to encode this prior. Moreover,…

Image and Video Processing · Electrical Eng. & Systems 2025-03-03 Marien Renaud , Arthur Leclaire , Nicolas Papadakis

Diffusion models (DMs) have recently been introduced as a regularizing prior for PET image reconstruction, integrating DMs trained on high-quality PET images with unsupervised schemes that condition on measured data. While these approaches…

Medical Physics · Physics 2026-03-18 George Webber , Alexander Hammers , Andrew P King , Andrew J Reader

Positron range (PR) limits spatial resolution and quantitative accuracy in PET imaging, particularly for high-energy positron-emitting radionuclides like 68Ga. We propose a deep learning method using 3D residual encoder-decoder…

Assume you encounter an inverse problem that shall be solved for a large number of data, but no ground-truth data is available. To emulate this encounter, in this study, we assume it is unknown how to solve the imaging problem of Computed…

Compressive sensing is a method to recover the original image from undersampled measurements. In order to overcome the ill-posedness of this inverse problem, image priors are used such as sparsity in the wavelet domain, minimum…

Computer Vision and Pattern Recognition · Computer Science 2018-12-20 Magauiya Zhussip , Shakarim Soltanayev , Se Young Chun

The lack of large-scale noisy-clean image pairs restricts supervised denoising methods' deployment in actual applications. While existing unsupervised methods are able to learn image denoising without ground-truth clean images, they either…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Yi Zhang , Dasong Li , Ka Lung Law , Xiaogang Wang , Hongwei Qin , Hongsheng Li

Medical image denoising is essential for improving the reliability of clinical diagnosis and guiding subsequent image-based tasks. In this paper, we propose a multi-scale approach that integrates anisotropic Gaussian filtering with…

Image and Video Processing · Electrical Eng. & Systems 2025-03-12 Arghya Pal , Sailaja Rajanala , CheeMing Ting , Raphael Phan

Existing deep-learning based tomographic image reconstruction methods do not provide accurate estimates of reconstruction uncertainty, hindering their real-world deployment. This paper develops a method, termed as the linearised deep image…

Image and Video Processing · Electrical Eng. & Systems 2022-11-07 Javier Antorán , Riccardo Barbano , Johannes Leuschner , José Miguel Hernández-Lobato , Bangti Jin

Low-dose CT imaging requires reconstruction from noisy indirect measurements which can be defined as an ill-posed linear inverse problem. In addition to conventional FBP method in CT imaging, recent compressed sensing based methods exploit…

Image and Video Processing · Electrical Eng. & Systems 2025-11-14 Mehmet Ozan Unal , Metin Ertas , Isa Yildirim

Positron Emission Tomography (PET) is a functional imaging modality widely used in neuroscience studies. To obtain meaningful quantitative results from PET images, attenuation correction is necessary during image reconstruction. For PET/MR…

Medical Physics · Physics 2018-08-01 Kuang Gong , Jaewon Yang , Kyungsang Kim , Georges El Fakhri , Youngho Seo , Quanzheng Li

Reconstructing an image from its Radon transform is a fundamental computed tomography (CT) task arising in applications such as X-ray scans. In many practical scenarios, a full 180-degree scan is not feasible, or there is a desire to reduce…

Computer Vision and Pattern Recognition · Computer Science 2025-02-20 Ilmari Vahteristo , Zhi-Song Liu , Andreas Rupp

In PET, the amount of relative (signal-dependent) noise present in different body regions can be significantly different and is inherently related to the number of counts present in that region. The number of counts in a region depends, in…

Image and Video Processing · Electrical Eng. & Systems 2022-12-20 Ye Li , Jianan Cui , Junyu Chen , Guodong Zeng , Scott Wollenweber , Floris Jansen , Se-In Jang , Kyungsang Kim , Kuang Gong , Quanzheng Li

We study the deep image prior (DIP) framework applied to photoacoustic tomography (PAT) as an unsupervised reconstruction approach to mitigate limited-view artifacts and noise commonly encountered in experimental settings. Efficient…

Image and Video Processing · Electrical Eng. & Systems 2026-04-22 Hanna Pulkkinen , Jenni Poimala , Leonid Kunyansky , Janek Gröhl , Andreas Hauptmann

Image restoration has been an extensively researched topic in numerous fields. With the advent of deep learning, a lot of the current algorithms were replaced by algorithms that are more flexible and robust. Deep networks have demonstrated…

Computer Vision and Pattern Recognition · Computer Science 2019-04-30 Rohit Jena

Ionizing radiation has been the biggest concern in CT imaging. To reduce the dose level without compromising the image quality, low-dose CT reconstruction has been offered with the availability of compressed sensing based reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2025-11-14 Mehmet Ozan Unal , Metin Ertas , Isa Yildirim

Recovering a high-quality image from noisy indirect measurements is an important problem with many applications. For such inverse problems, supervised deep convolutional neural network (CNN)-based denoising methods have shown strong…

Image and Video Processing · Electrical Eng. & Systems 2020-09-16 Allard A. Hendriksen , Daniel M. Pelt , K. Joost Batenburg
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