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Compressed sensing Synthetic Aperture Radar (SAR) image formation, formulated as an inverse problem and solved with traditional iterative optimization methods can be very computationally expensive. We investigate the use of denoising…

Image and Video Processing · Electrical Eng. & Systems 2025-04-25 Odysseas Pappas , Perla Mayo , Andrew Austin , Alin Achim

Diffusion models have emerged as the new state-of-the-art generative model with high quality samples, with intriguing properties such as mode coverage and high flexibility. They have also been shown to be effective inverse problem solvers,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-06 Hyungjin Chung , Dohoon Ryu , Michael T. McCann , Marc L. Klasky , Jong Chul Ye

Magnetic resonance imaging (MRI) is known to be a slow imaging modality and undersampling in k-space has been used to increase the imaging speed. However, image reconstruction from undersampled k-space data is an ill-posed inverse problem.…

Image and Video Processing · Electrical Eng. & Systems 2019-08-08 Jing Cheng , Haifeng Wang , Leslie Ying , Dong Liang

Diffusion probabilistic models (DPMs) have achieved impressive success in visual generation. While, they suffer from slow inference speed due to iterative sampling. Employing fewer sampling steps is an intuitive solution, but this will also…

Computer Vision and Pattern Recognition · Computer Science 2025-06-17 Hu Yu , Hao Luo , Fan Wang , Feng Zhao

Recent medical image reconstruction techniques focus on generating high-quality medical images suitable for clinical use at the lowest possible cost and with the fewest possible adverse effects on patients. Recent works have shown…

Image and Video Processing · Electrical Eng. & Systems 2025-01-07 Shijun Liang , Anish Lahiri , Saiprasad Ravishankar

Magnetic resonance imaging (MRI) is a widely used non-invasive imaging modality. However, a persistent challenge lies in balancing image quality with imaging speed. This trade-off is primarily constrained by k-space measurements, which…

Image and Video Processing · Electrical Eng. & Systems 2025-11-19 Guanxiong Luo , Shoujin Huang , Martin Uecker

Hallucinations are spurious structures not present in the ground truth, posing a critical challenge in medical image reconstruction, especially for data-driven conditional models. We hypothesize that combining an unconditional diffusion…

Image and Video Processing · Electrical Eng. & Systems 2025-07-25 Seunghoi Kim , Henry F. J. Tregidgo , Matteo Figini , Chen Jin , Sarang Joshi , Daniel C. Alexander

We present a novel, training-free approach for textual editing of real images using diffusion models. Unlike prior methods that rely on computationally expensive finetuning, our approach leverages LAtent SPatial Alignment (LASPA) to…

Computer Vision and Pattern Recognition · Computer Science 2024-03-20 Yazeed Alharbi , Peter Wonka

Denoising diffusion models have recently achieved remarkable success in image generation, capturing rich information about natural image statistics. This makes them highly promising for image reconstruction, where the goal is to recover a…

Computer Vision and Pattern Recognition · Computer Science 2025-09-09 Shady Abu-Hussein , Tom Tirer , Raja Giryes

In this work, we propose FastDPM, a unified framework for fast sampling in diffusion probabilistic models. FastDPM generalizes previous methods and gives rise to new algorithms with improved sample quality. We systematically investigate the…

Machine Learning · Computer Science 2021-06-25 Zhifeng Kong , Wei Ping

We describe a new MCMC method optimized for the sampling of probability measures on Hilbert space which have a density with respect to a Gaussian; such measures arise in the Bayesian approach to inverse problems, and in conditioned…

Probability · Mathematics 2014-04-04 Michela Ottobre , Natesh S. Pillai , Frank J. Pinski , Andrew M. Stuart

Score-based diffusion models have significantly advanced generative deep learning for image processing. Measurement conditioned models have also been applied to inverse problems such as CT reconstruction. However, the conventional approach,…

Medical Physics · Physics 2025-02-24 Matthew Tivnan , Dufan Wu , Quanzheng Li

While enabling accelerated acquisition and improved reconstruction accuracy, current deep MRI reconstruction networks are typically supervised, require fully sampled data, and are limited to Cartesian sampling patterns. These factors limit…

Image and Video Processing · Electrical Eng. & Systems 2023-02-21 Bo Zhou , Jo Schlemper , Neel Dey , Seyed Sadegh Mohseni Salehi , Kevin Sheth , Chi Liu , James S. Duncan , Michal Sofka

A well-known first-order method for sampling from log-concave probability distributions is the Unadjusted Langevin Algorithm (ULA). This work proposes a new annealing step-size schedule for ULA, which allows to prove new convergence…

Statistics Theory · Mathematics 2020-07-03 Paul Rolland , Armin Eftekhari , Ali Kavis , Volkan Cevher

Diffusion models (DMs) have proven to be effective in modeling high-dimensional distributions, leading to their widespread adoption for representing complex priors in Bayesian inverse problems (BIPs). However, current DM-based posterior…

Machine Learning · Computer Science 2025-06-06 Haoxuan Chen , Yinuo Ren , Martin Renqiang Min , Lexing Ying , Zachary Izzo

Reverse sampling and score-distillation have emerged as main workhorses in recent years for image manipulation using latent diffusion models (LDMs). While reverse diffusion sampling often requires adjustments of LDM architecture or feature…

Computer Vision and Pattern Recognition · Computer Science 2024-09-24 Jeongsol Kim , Geon Yeong Park , Jong Chul Ye

We propose a data-efficient, physics-aware generative framework in function space for inverse PDE problems. Existing plug-and-play diffusion posterior samplers represent physics implicitly through joint coefficient-solution modeling,…

Machine Learning · Computer Science 2026-03-03 Thomas Y. L. Lin , Jiachen Yao , Lufang Chiang , Julius Berner , Anima Anandkumar

By circumventing the resolution limitations of optics, coherent diffractive imaging (CDI) and ptychography are making their way into scientific fields ranging from X-ray imaging to astronomy. Yet, the need for time consuming iterative phase…

Computational Physics · Physics 2023-10-13 Oliver Hoidn , Aashwin Ananda Mishra , Apurva Mehta

Diffractive lenses have recently been applied to the domain of multispectral imaging in the X-ray and UV regimes where they can achieve very high resolution as compared to reflective and refractive optics. Conventionally, spectral…

Image and Video Processing · Electrical Eng. & Systems 2020-05-26 Evan Widloski , Ulas Kamaci , Farzad Kamalabadi

Snapshot compressive spectral imaging reconstruction aims to reconstruct three-dimensional spatial-spectral images from a single-shot two-dimensional compressed measurement. Existing state-of-the-art methods are mostly based on deep…

Image and Video Processing · Electrical Eng. & Systems 2024-08-27 Zongliang Wu , Ruiying Lu , Ying Fu , Xin Yuan
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