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Prior probability models are a fundamental component of many image processing problems, but density estimation is notoriously difficult for high-dimensional signals such as photographic images. Deep neural networks have provided…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Zahra Kadkhodaie , Eero P. Simoncelli

We aim to address sparse-view reconstruction of a 3D scene by leveraging priors from large-scale vision models. While recent advancements such as 3D Gaussian Splatting (3DGS) have demonstrated remarkable successes in 3D reconstruction,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Hanyang Yu , Xiaoxiao Long , Ping Tan

Recently, several discriminative learning approaches have been proposed for effective image restoration, achieving convincing trade-off between image quality and computational efficiency. However, these methods require separate training for…

Computer Vision and Pattern Recognition · Computer Science 2018-07-04 Lei Xiao , Felix Heide , Wolfgang Heidrich , Bernhard Schölkopf , Michael Hirsch

Image restoration has seen great progress in the last years thanks to the advances in deep neural networks. Most of these existing techniques are trained using full supervision with suitable image pairs to tackle a specific degradation.…

Image and Video Processing · Electrical Eng. & Systems 2020-09-11 Leonhard Helminger , Michael Bernasconi , Abdelaziz Djelouah , Markus Gross , Christopher Schroers

We present an effective blind image deblurring method based on a data-driven discriminative prior.Our work is motivated by the fact that a good image prior should favor clear images over blurred images.In this work, we formulate the image…

Computer Vision and Pattern Recognition · Computer Science 2018-04-06 Lerenhan Li , Jinshan Pan , Wei-Sheng Lai , Changxin Gao , Nong Sang , Ming-Hsuan Yang

Trained generative models have shown remarkable performance as priors for inverse problems in imaging -- for example, Generative Adversarial Network priors permit recovery of test images from 5-10x fewer measurements than sparsity priors.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Muhammad Asim , Mara Daniels , Oscar Leong , Ali Ahmed , Paul Hand

We consider the problem of sampling from a product-of-experts-type model that encompasses many standard prior and posterior distributions commonly found in Bayesian imaging. We show that this model can be easily lifted into a novel latent…

Image and Video Processing · Electrical Eng. & Systems 2026-04-16 Muhamed Kuric , Martin Zach , Andreas Habring , Michael Unser , Thomas Pock

Computed medical imaging systems require a computational reconstruction procedure for image formation. In order to recover a useful estimate of the object to-be-imaged when the recorded measurements are incomplete, prior knowledge about the…

Image and Video Processing · Electrical Eng. & Systems 2022-02-21 Varun A. Kelkar , Mark A. Anastasio

Models including two $L^1$ -norm terms have been widely used in image restoration. In this paper we first propose the alternating direction method of multipliers (ADMM) to solve this class of models. Based on ADMM, we then propose the…

Computer Vision and Pattern Recognition · Computer Science 2015-03-13 Zhi-Feng Pang , Li-Lian Wang , Yu-Fei Yang

Gaussian filters have applications in a variety of areas in computer science, from computer vision to speech recognition. The collapsing sum is a matrix operator that was recently introduced to study Gaussian filters combinatorially. In…

Combinatorics · Mathematics 2021-12-30 Travis Dillon

For solving linear inverse problems, particularly of the type that appears in tomographic imaging and compressive sensing, this paper develops two new approaches. The first approach is an iterative algorithm that minimizes a regularized…

Signal Processing · Electrical Eng. & Systems 2023-11-30 Carter Lyons , Raghu G. Raj , Margaret Cheney

Image registration is one important task in many image processing applications. It aims to align two or more images so that useful information can be extracted through comparison, combination or superposition. This is achieved by…

Numerical Analysis · Mathematics 2015-04-30 Mazlinda Ibrahim , Ke Chen , Carlos Brito-Loeza

Diffusion models have recently gained traction as a powerful class of deep generative priors, excelling in a wide range of image restoration tasks due to their exceptional ability to model data distributions. To solve image restoration…

Image and Video Processing · Electrical Eng. & Systems 2025-06-10 Xiang Li , Soo Min Kwon , Shijun Liang , Ismail R. Alkhouri , Saiprasad Ravishankar , Qing Qu

We present the first framework to solve linear inverse problems leveraging pre-trained latent diffusion models. Previously proposed algorithms (such as DPS and DDRM) only apply to pixel-space diffusion models. We theoretically analyze our…

Machine Learning · Computer Science 2023-07-04 Litu Rout , Negin Raoof , Giannis Daras , Constantine Caramanis , Alexandros G. Dimakis , Sanjay Shakkottai

Recovering clear structures from severely blurry inputs is a challenging problem due to the large movements between the camera and the scene. Although some works apply segmentation maps on human face images for deblurring, they cannot…

Computer Vision and Pattern Recognition · Computer Science 2023-05-02 Pei Wang , Danna Xue , Yu Zhu , Jinqiu Sun , Qingsen Yan , Sung-eui Yoon , Yanning Zhang

Deep neural networks have been applied successfully to a wide variety of inverse problems arising in computational imaging. These networks are typically trained using a forward model that describes the measurement process to be inverted,…

Image and Video Processing · Electrical Eng. & Systems 2021-04-14 Davis Gilton , Gregory Ongie , Rebecca Willett

Obtaining a useful estimate of an object from highly incomplete imaging measurements remains a holy grail of imaging science. Deep learning methods have shown promise in learning object priors or constraints to improve the conditioning of…

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

Modeling latent variables with priors and hyperpriors is an essential problem in variational image compression. Formally, trade-off between rate and distortion is handled well if priors and hyperpriors precisely describe latent variables.…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Xiaosu Zhu , Jingkuan Song , Lianli Gao , Feng Zheng , Heng Tao Shen

Ill-posed inverse problems appear in many image processing applications, such as deblurring and super-resolution. In recent years, solutions that are based on deep Convolutional Neural Networks (CNNs) have shown great promise. Yet, most of…

Computer Vision and Pattern Recognition · Computer Science 2021-02-05 Shady Abu-Hussein , Tom Tirer , Se Young Chun , Yonina C. Eldar , Raja Giryes

This paper focuses on solving the multiplicative gamma denoising problem via a variation model. Variation-based regularization models have been extensively employed in a variety of inverse problem tasks in image processing. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Shengkun Yang , Zhichang Guo , Jia Li , Fanghui Song , Wenjuan Yao