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3D reconstruction from a single image is a long-standing problem in computer vision. Learning-based methods address its inherent scale ambiguity by leveraging increasingly large labeled and unlabeled datasets, to produce geometric priors…

Computer Vision and Pattern Recognition · Computer Science 2024-09-17 Vitor Guizilini , Pavel Tokmakov , Achal Dave , Rares Ambrus

Computational imaging methods increasingly rely on powerful generative diffusion models to tackle challenging image restoration tasks. In particular, state-of-the-art zero-shot image inverse solvers leverage distilled text-to-image latent…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Alessio Spagnoletti , Andrés Almansa , Marcelo Pereyra

We study the use of the hybridizable discontinuous Galerkin (HDG) method for numerically solving fractional diffusion equations of order $-\alpha$ with $-1<\alpha<0$. For exact time-marching, we derive optimal algebraic error estimates…

Numerical Analysis · Mathematics 2014-09-26 Bernardo Cockburn , Kassem Mustapha

Blind super-resolution methods based on stable diffusion showcase formidable generative capabilities in reconstructing clear high-resolution images with intricate details from low-resolution inputs. However, their practical applicability is…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Rui Xie , Chen Zhao , Kai Zhang , Zhenyu Zhang , Jun Zhou , Jian Yang , Ying Tai

Diffusion models have become the de facto framework for generating new datasets. The core of these models lies in the ability to reverse a diffusion process in time. The goal of this manuscript is to explain, from a PDE perspective, how…

Probability · Mathematics 2025-01-29 Fei Cao , Kimball Johnston , Thomas Laurent , Justin Le , Sébastien Motsch

To overcome inherent hardware limitations of hyperspectral imaging systems with respect to their spatial resolution, fusion-based hyperspectral image (HSI) super-resolution is attracting increasing attention. This technique aims to fuse a…

Image and Video Processing · Electrical Eng. & Systems 2022-01-25 Xiuheng Wang , Jie Chen , Cédric Richard

Diffusion models can be used as learned priors for solving various inverse problems. However, most existing approaches are restricted to linear inverse problems, limiting their applicability to more general cases. In this paper, we build…

Image and Video Processing · Electrical Eng. & Systems 2022-11-28 Bahjat Kawar , Jiaming Song , Stefano Ermon , Michael Elad

Neural networks are known to be susceptible to adversarial samples: small variations of natural examples crafted to deliberately mislead the models. While they can be easily generated using gradient-based techniques in digital and physical…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Haotian Xue , Alexandre Araujo , Bin Hu , Yongxin Chen

Blind face restoration methods have shown remarkable performance, particularly when trained on large-scale synthetic datasets with supervised learning. These datasets are often generated by simulating low-quality face images with a…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Tianshu Kuai , Sina Honari , Igor Gilitschenski , Alex Levinshtein

We propose Diff-Shadow, a global-guided diffusion model for shadow removal. Previous transformer-based approaches can utilize global information to relate shadow and non-shadow regions but are limited in their synthesis ability and recover…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Jinting Luo , Ru Li , Chengzhi Jiang , Xiaoming Zhang , Mingyan Han , Ting Jiang , Haoqiang Fan , Shuaicheng Liu

Existing feedforward image-to-3D methods mainly rely on 2D multi-view diffusion models that cannot guarantee 3D consistency. These methods easily collapse when changing the prompt view direction and mainly handle object-centric cases. In…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Yuanhao Cai , He Zhang , Kai Zhang , Yixun Liang , Mengwei Ren , Fujun Luan , Qing Liu , Soo Ye Kim , Jianming Zhang , Zhifei Zhang , Yuqian Zhou , Yulun Zhang , Xiaokang Yang , Zhe Lin , Alan Yuille

We consider a class of inverse problems characterized by forward operators that are partially specified, non-smooth, and non-differentiable. Although generative inverse solvers have made significant progress, we find that these forward…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Sattwik Basu , Chaitanya Amballa , Zhongweiyang Xu , Jorge Vančo Sampedro , Srihari Nelakuditi , Romit Roy Choudhury

The recent wave of large-scale text-to-image diffusion models has dramatically increased our text-based image generation abilities. These models can generate realistic images for a staggering variety of prompts and exhibit impressive…

Machine Learning · Computer Science 2023-09-14 Alexander C. Li , Mihir Prabhudesai , Shivam Duggal , Ellis Brown , Deepak Pathak

Diffusion models have recently emerged as powerful generative models in medical imaging. However, it remains a major challenge to combine these data-driven models with domain knowledge to guide brain imaging problems. In neuroimaging,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Ana Lawry Aguila , Dina Zemlyanker , You Cheng , Sudeshna Das , Daniel C. Alexander , Oula Puonti , Annabel Sorby-Adams , W. Taylor Kimberly , Juan Eugenio Iglesias

We present the first acquisition-agnostic diffusion generative model for Magnetic Resonance Imaging (MRI) in the neonatal intensive care unit (NICU) to solve a range of inverse problems for shortening scan time and improving motion…

Medical Physics · Physics 2025-05-22 Yamin Arefeen , Brett Levac , Jonathan I. Tamir

A diffusion model, which is formulated to produce an image using thousands of denoising steps, usually suffers from a slow inference speed. Existing acceleration algorithms simplify the sampling by skipping most steps yet exhibit…

Computer Vision and Pattern Recognition · Computer Science 2025-10-02 Mengfei Xia , Yujun Shen , Changsong Lei , Yu Zhou , Ran Yi , Deli Zhao , Wenping Wang , Yong-Jin Liu

Diffusion-based purification defenses leverage diffusion models to remove crafted perturbations of adversarial examples and achieve state-of-the-art robustness. Recent studies show that even advanced attacks cannot break such defenses…

Cryptography and Security · Computer Science 2024-01-05 Mintong Kang , Dawn Song , Bo Li

Popularized by their strong image generation performance, diffusion and related methods for generative modeling have found widespread success in visual media applications. In particular, diffusion methods have enabled new approaches to data…

Image and Video Processing · Electrical Eng. & Systems 2026-01-28 Yibo Yang , Stephan Mandt

Inverse problems arise in a multitude of applications, where the goal is to recover a clean signal from noisy and possibly (non)linear observations. The difficulty of a reconstruction problem depends on multiple factors, such as the ground…

Image and Video Processing · Electrical Eng. & Systems 2024-08-21 Zalan Fabian , Berk Tinaz , Mahdi Soltanolkotabi

We introduce a diffusion-based cross-domain image translator in the absence of paired training data. Unlike GAN-based methods, our approach integrates diffusion models to learn the image translation process, allowing for more coverable…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Shilong Zou , Yuhang Huang , Renjiao Yi , Chenyang Zhu , Kai Xu
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