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This paper explores the use of score-based diffusion models for Bayesian image reconstruction. Diffusion models are an efficient tool for generative modeling. Diffusion models can also be used for solving image reconstruction problems. We…

Image and Video Processing · Electrical Eng. & Systems 2025-10-06 Michael T. McCann , Hyungjin Chung , Jong Chul Ye , Marc L. Klasky

Creating noise from data is easy; creating data from noise is generative modeling. We present a stochastic differential equation (SDE) that smoothly transforms a complex data distribution to a known prior distribution by slowly injecting…

Machine Learning · Computer Science 2021-02-11 Yang Song , Jascha Sohl-Dickstein , Diederik P. Kingma , Abhishek Kumar , Stefano Ermon , Ben Poole

Score-based generative models (SGMs) sample from a target distribution by iteratively transforming noise using the score function of the perturbed target. For any finite training set, this score function can be evaluated in closed form, but…

Machine Learning · Computer Science 2025-05-07 Christopher Scarvelis , Haitz Sáez de Ocáriz Borde , Justin Solomon

While score-based generative models (SGMs) have achieved remarkable success in enormous image generation tasks, their mathematical foundations are still limited. In this paper, we analyze the approximation and generalization of SGMs in…

Machine Learning · Statistics 2024-02-26 Frank Cole , Yulong Lu

In computed tomography (CT), reducing the number of projection views is an effective strategy to lower radiation exposure and/or improve temporal resolution. However, this often results in severe aliasing artifacts and loss of structural…

Image and Video Processing · Electrical Eng. & Systems 2025-11-19 Changsheng Fang , Yongtong Liu , Bahareh Morovati , Shuo Han , Li Zhou , Hengyong Yu

In this work, we introduce a generative approach for pose-free (without camera parameters) reconstruction of 360 scenes from a sparse set of 2D images. Pose-free scene reconstruction from incomplete, pose-free observations is usually…

Computer Vision and Pattern Recognition · Computer Science 2025-10-13 Soumava Paul , Prakhar Kaushik , Alan Yuille

Multi-modal medical image completion has been extensively applied to alleviate the missing modality issue in a wealth of multi-modal diagnostic tasks. However, for most existing synthesis methods, their inferences of missing modalities can…

Image and Video Processing · Electrical Eng. & Systems 2022-07-08 Xiangxi Meng , Yuning Gu , Yongsheng Pan , Nizhuan Wang , Peng Xue , Mengkang Lu , Xuming He , Yiqiang Zhan , Dinggang Shen

Data-driven inference of the generative dynamics underlying a set of observed time series is of growing interest in machine learning and the natural sciences. In neuroscience, such methods promise to alleviate the need to handcraft models…

Machine Learning · Computer Science 2024-11-06 Eric Volkmann , Alena Brändle , Daniel Durstewitz , Georgia Koppe

Speech super-resolution (SR) is the task that restores high-resolution speech from low-resolution input. Existing models employ simulated data and constrained experimental settings, which limit generalization to real-world SR. Predictive…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-26 Heming Wang , Eric W. Healy , DeLiang Wang

To obtain high-quality positron emission tomography (PET) while minimizing radiation exposure, a range of methods have been designed to reconstruct standard-dose PET (SPET) from corresponding low-dose PET (LPET) images. However, most…

Image and Video Processing · Electrical Eng. & Systems 2024-04-11 Yuchen Fei , Yanmei Luo , Yan Wang , Jiaqi Cui , Yuanyuan Xu , Jiliu Zhou , Dinggang Shen

The convergence of generative artificial intelligence and advanced computer vision technologies introduces a groundbreaking approach to transforming textual descriptions into three-dimensional representations. This research proposes a fully…

Computer Vision and Pattern Recognition · Computer Science 2025-03-06 Venkat Kumar R , Deepak Saravanan

When images are statistically described by a generative model we can use this information to develop optimum techniques for various image restoration problems as inpainting, super-resolution, image coloring, generative model inversion, etc.…

Image and Video Processing · Electrical Eng. & Systems 2020-06-17 Kalliopi Basioti , George V. Moustakides

There remains an important need for the development of image reconstruction methods that can produce diagnostically useful images from undersampled measurements. In magnetic resonance imaging (MRI), for example, such methods can facilitate…

Image and Video Processing · Electrical Eng. & Systems 2021-06-28 Varun A. Kelkar , Sayantan Bhadra , Mark A. Anastasio

Historically, patient datasets have been used to develop and validate various reconstruction algorithms for PET/MRI and PET/CT. To enable such algorithm development, without the need for acquiring hundreds of patient exams, in this paper we…

Image reconstruction of low-count positron emission tomography (PET) data is challenging. Kernel methods address the challenge by incorporating image prior information in the forward model of iterative PET image reconstruction. The…

Image and Video Processing · Electrical Eng. & Systems 2022-10-25 Siqi Li , Kuang Gong , Ramsey D. Badawi , Edward J. Kim , Jinyi Qi , Guobao Wang

We introduce a new approach to high-fidelity 3D scene reconstruction from multi-view RGB images that tightly couples reconstruction with a strong generative 3D prior. We cast scene reconstruction as conditional 3D generation over a set of…

Computer Vision and Pattern Recognition · Computer Science 2026-05-25 Katharina Schmid , Nicolas von Lützow , Jozef Hladký , Angela Dai , Matthias Nießner

Recent deep learning-based image completion methods, including both inpainting and outpainting, have demonstrated promising results in restoring corrupted images by effectively filling various missing regions. Among these, Generative…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Yike Zhang , Eduardo Davalos , Jack Noble

Purpose: Magnetic Resonance Imaging (MRI) enables non-invasive assessment of brain abnormalities during early life development. Permanent magnet scanners operating in the neonatal intensive care unit (NICU) facilitate MRI of sick infants,…

Image and Video Processing · Electrical Eng. & Systems 2025-05-23 Yamin Arefeen , Brett Levac , Bhairav Patel , Chang Ho , Jonathan I. Tamir

Image synthesis approaches, e.g., generative adversarial networks, have been popular as a form of data augmentation in medical image analysis tasks. It is primarily beneficial to overcome the shortage of publicly accessible data and…

Computer Vision and Pattern Recognition · Computer Science 2023-10-05 Shiyi Du , Xiaosong Wang , Yongyi Lu , Yuyin Zhou , Shaoting Zhang , Alan Yuille , Kang Li , Zongwei Zhou

Stochastic-sampling-based Generative Neural Networks, such as Restricted Boltzmann Machines and Generative Adversarial Networks, are now used for applications such as denoising, image occlusion removal, pattern completion, and motion…

Machine Learning · Computer Science 2019-10-29 Alexander Potapov , Ian Colbert , Ken Kreutz-Delgado , Alexander Cloninger , Srinjoy Das
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