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Standard Gibbs sampling applied to a multivariate normal distribution with a specified precision matrix is equivalent in fundamental ways to the Gauss-Seidel iterative solution of linear equations in the precision matrix. Specifically, the…

Computation · Statistics 2015-05-14 Colin Fox , Albert Parker

Normalizing flow models using invertible neural networks (INN) have been widely investigated for successful generative image super-resolution (SR) by learning the transformation between the normal distribution of latent variable $z$ and the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-14 Chenzhong Yin , Zhihong Pan , Xin Zhou , Le Kang , Paul Bogdan

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

Image downscaling and upscaling are two basic rescaling operations. Once the image is downscaled, it is difficult to be reconstructed via upscaling due to the loss of information. To make these two processes more compatible and improve the…

Image and Video Processing · Electrical Eng. & Systems 2023-01-10 Shang Li , Guixuan Zhang , Zhengxiong Luo , Jie Liu , Zhi Zeng , Shuwu Zhang

Previous works show convergence of rational Chebyshev approximants to the Pad\'e approximant as the underlying domain of approximation shrinks to the origin. In the present work, the asymptotic error and interpolation properties of rational…

Numerical Analysis · Mathematics 2024-10-08 Tobias Jawecki

We propose a new class of kernels to simplify the design of filters for image interpolation and resizing. Their properties are defined according to two parameters, specifying the width of the transition band and the height of a unique…

Image and Video Processing · Electrical Eng. & Systems 2023-12-05 Amir Said

Most existing Image Restoration (IR) models are task-specific, which can not be generalized to different degradation operators. In this work, we propose the Denoising Diffusion Null-Space Model (DDNM), a novel zero-shot framework for…

Computer Vision and Pattern Recognition · Computer Science 2022-12-08 Yinhuai Wang , Jiwen Yu , Jian Zhang

Image denoising is a well-known and well studied problem, commonly targeting a minimization of the mean squared error (MSE) between the outcome and the original image. Unfortunately, especially for severe noise levels, such Minimum MSE…

Image and Video Processing · Electrical Eng. & Systems 2021-09-01 Bahjat Kawar , Gregory Vaksman , Michael Elad

Recently, total variation (TV) based minimization algorithms have achieved great success in compressive sensing (CS) recovery for natural images due to its virtue of preserving edges. However, the use of TV is not able to recover the fine…

Computer Vision and Pattern Recognition · Computer Science 2012-12-27 Jian Zhang , Shaohui Liu , Debin Zhao , Ruiqin Xiong , Siwei Ma

Combining the properties of monovariate internal functions as proposed in Kolmogorov superimposition theorem, in tandem with the bounds wielded by the multivariate formulation of Chebyshev inequality, a hybrid model is presented, that…

Computer Vision and Pattern Recognition · Computer Science 2011-06-03 Shriprakash Sinha , Gert J. ter Horst

For modern high-resolution imaging sensors, pixel binning is performed in low-lighting conditions and in case high frame rates are required. To recover the original spatial resolution, single-image super-resolution techniques can be applied…

Image and Video Processing · Electrical Eng. & Systems 2024-10-28 Simon Grosche , Andy Regensky , Jürgen Seiler , André Kaup

This paper investigates a fully unsupervised statistical method for edge preserving image restoration and compression using a spatial decomposition scheme. Smoothed maximum likelihood is used for local estimation of edge pixels from mixture…

Methodology · Statistics 2016-11-26 Kinjal Basu , Debapriya Sengupta

The bilateral filter is known to be quite effective in denoising images corrupted with small dosages of additive Gaussian noise. The denoising performance of the filter, however, is known to degrade quickly with the increase in noise level.…

Computer Vision and Pattern Recognition · Computer Science 2015-05-26 Kunal N. Chaudhury , Kollipara Rithwik

We introduce a new paradigm for immersed finite element and isogeometric methods based on interpolating function spaces from an unfitted background mesh into Lagrange finite element spaces defined on a foreground mesh that captures the…

Numerical Analysis · Mathematics 2023-01-25 Jennifer E. Fromm , Nils Wunsch , Ru Xiang , Han Zhao , Kurt Maute , John A. Evans , David Kamensky

Assessing the quality of single image super-resolution (SISR) results remains an open methodological problem. Common full-reference metrics (PSNR, SSIM, LPIPS) do not explicitly evaluate the preservation of the geometric structure of…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Leonid Bedratyuk

The Landweber algorithm defined on complex/real Hilbert spaces is a gradient descent algorithm for linear inverse problems. Our contribution is to present a novel method for accelerating convergence of the Landweber algorithm. In this…

Information Theory · Computer Science 2020-01-20 Tadashi Wadayama , Satoshi Takabe

Efficient and effective real-world image super-resolution (Real-ISR) is a challenging task due to the unknown complex degradation of real-world images and the limited computation resources in practical applications. Recent research on…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Jie Liang , Hui Zeng , Lei Zhang

Image Fusion is the process in which core information from a set of component images is merged to form a single image, which is more informative and complete than the component input images in quality and appearance. This paper presents a…

Computer Vision and Pattern Recognition · Computer Science 2014-07-16 Haritha Raveendran , Deepa Thomas

This paper presents a novel technique for progressive online integration of uncalibrated image sequences with substantial geometric and/or photometric discrepancies into a single, geometrically and photometrically consistent image. Our…

Graphics · Computer Science 2019-09-11 Markus Kluge , Tim Weyrich , Andreas Kolb

Image quality is the basis of image communication and understanding tasks. Due to the blur and noise effects caused by imaging, transmission and other processes, the image quality is degraded. Blind image restoration is widely used to…

Image and Video Processing · Electrical Eng. & Systems 2021-01-26 Ningshan Xu