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We propose a solution to the image deconvolution problem where the convolution kernel or point spread function (PSF) is assumed to be only partially known. Small perturbations generated from the model are exploited to produce a few…

Data Analysis, Statistics and Probability · Physics 2015-06-04 Se Un Park , Nicolas Dobigeon , Alfred O. Hero

The ability to resolve detail in the object that is being imaged, named by resolution, is the core parameter of an imaging system. Super-resolution is a class of techniques that can enhance the resolution of an imaging system and even…

Data Structures and Algorithms · Computer Science 2022-10-13 Yaonan Jin , Daogao Liu , Zhao Song

Single image super-resolution (SR) aims to estimate a high-resolution (HR) image from a lowresolution (LR) input. Image priors are commonly learned to regularize the otherwise seriously ill-posed SR problem, either using external LR-HR…

Computer Vision and Pattern Recognition · Computer Science 2015-10-28 Zhangyang Wang , Yingzhen Yang , Zhaowen Wang , Shiyu Chang , Jianchao Yang , Thomas S. Huang

Interpretability is crucial for machine learning in many scenarios such as quantitative finance, banking, healthcare, etc. Symbolic regression (SR) is a classic interpretable machine learning method by bridging X and Y using mathematical…

Methodology · Statistics 2020-01-17 Ying Jin , Weilin Fu , Jian Kang , Jiadong Guo , Jian Guo

This paper presents a new Bayesian collaborative sparse regression method for linear unmixing of hyperspectral images. Our contribution is twofold; first, we propose a new Bayesian model for structured sparse regression in which the…

Computation · Statistics 2023-07-19 Yoann Altmann , Marcelo Pereyra , Jose Bioucas-Dias

Super-resolution (SR) is an ill-posed inverse problem with a large set of feasible solutions that are consistent with a given low-resolution image. Various deterministic algorithms aim to find a single solution that balances fidelity and…

Image and Video Processing · Electrical Eng. & Systems 2024-02-13 Cansu Korkmaz , Ege Cirakman , A. Murat Tekalp , Zafer Dogan

The recent use of diffusion prior, enhanced by pre-trained text-image models, has markedly elevated the performance of image super-resolution (SR). To alleviate the huge computational cost required by pixel-based diffusion SR, latent-based…

Computer Vision and Pattern Recognition · Computer Science 2023-12-14 Feng Luo , Jinxi Xiang , Jun Zhang , Xiao Han , Wei Yang

Learning-based image super-resolution aims to reconstruct high-frequency (HF) details from the prior model trained by a set of high- and low-resolution image patches. In this paper, HF to be estimated is considered as a combination of two…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Jian Zhang , Chen Zhao , Ruiqin Xiong , Siwei Ma , Debin Zhao

There has been a growing interest in developing image super-resolution (SR) algorithms that convert low-resolution (LR) to higher resolution images, but automatically evaluating the visual quality of super-resolved images remains a…

Computer Vision and Pattern Recognition · Computer Science 2022-07-19 Wei Zhou , Zhou Wang

Traditional patch-based sparse representation modeling of natural images usually suffer from two problems. First, it has to solve a large-scale optimization problem with high computational complexity in dictionary learning. Second, each…

Computer Vision and Pattern Recognition · Computer Science 2014-05-15 Jian Zhang , Debin Zhao , Wen Gao

Preserving accuracy is a challenging issue in super resolution images. In this paper, we propose a new FFT based image registration algorithm and a sparse based super resolution algorithm to improve the accuracy of super resolution image.…

Computer Vision and Pattern Recognition · Computer Science 2014-07-15 Archana Vijayan , Vincy Salam

Hyperspectral super-resolution (HSR) is a problem that aims to estimate an image of high spectral and spatial resolutions from a pair of co-registered multispectral (MS) and hyperspectral (HS) images, which have coarser spectral and spatial…

Image and Video Processing · Electrical Eng. & Systems 2020-10-28 Ruiyuan Wu , Wing-Kin Ma , Xiao Fu , Qiang Li

Image reconstruction based on indirect, noisy, or incomplete data remains an important yet challenging task. While methods such as compressive sensing have demonstrated high-resolution image recovery in various settings, there remain issues…

Numerical Analysis · Mathematics 2023-03-07 Jan Glaubitz , Anne Gelb , Guohui Song

Supervised deep learning approaches can artificially increase the resolution of microscopy images by learning a mapping between two image resolutions or modalities. However, such methods often require a large set of hard-to-get…

Image and Video Processing · Electrical Eng. & Systems 2024-11-20 Marzieh Gheisari , Auguste Genovesio

Sparse signal reconstruction algorithms have attracted research attention due to their wide applications in various fields. In this paper, we present a simple Bayesian approach that utilizes the sparsity constraint and a priori statistical…

Statistics Theory · Mathematics 2015-06-05 Ahmed A. Quadeer , Tareq Y. Al-Naffouri

A large number of image super resolution algorithms based on the sparse coding are proposed, and some algorithms realize the multi-frame super resolution. In multi-frame super resolution based on the sparse coding, both accurate image…

Computer Vision and Pattern Recognition · Computer Science 2015-12-03 Toshiyuki Kato , Hideitsu Hino , Noboru Murata

Super-resolution (SR), the process of obtaining high-resolution images from one or more low-resolution observations of the same scene, has been a very popular topic of research in the last few decades in both signal processing and image…

Image and Video Processing · Electrical Eng. & Systems 2022-02-25 Bahattin Can Maral

Image super-resolution (SR) is an effective way to enhance the spatial resolution and detail information of remote sensing images, to obtain a superior visual quality. As SR is severely ill-conditioned, effective image priors are necessary…

Computer Vision and Pattern Recognition · Computer Science 2024-12-16 Jing Sun , Huanfeng Shen , Qiangqiang Yuan , Liangpei Zhang

We introduce a novel Bayesian approach for both covariate selection and sparse precision matrix estimation in the context of high-dimensional Gaussian graphical models involving multiple responses. Our approach provides a sparse estimation…

Methodology · Statistics 2024-09-25 Anwesha Chakravarti , Naveen N. Narishetty , Feng Liang

In this paper we tackle Image Super Resolution (ISR), using recent advances in Visual Auto-Regressive (VAR) modeling. VAR iteratively estimates the residual in latent space between gradually increasing image scales, a process referred to as…

Computer Vision and Pattern Recognition · Computer Science 2025-06-06 Enrique Sanchez , Isma Hadji , Adrian Bulat , Christos Tzelepis , Brais Martinez , Georgios Tzimiropoulos