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The network flow optimization approach is offered for restoration of grayscale and color images corrupted by noise. The Ising models are used as a statistical background of the proposed method. The new multiresolution network flow minimum…

Optimization and Control · Mathematics 2016-09-07 Boris A. Zalesky

We propose a method to restore and to segment simultaneously images degraded by a known point spread function (PSF) and additive white noise. For this purpose, we propose a joint Bayesian estimation framework, where a family of…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Hacheme Ayasso , Ali Mohammad-Djafari

During the acquisition of an image from its source, noise always becomes an integral part of it. Various algorithms have been used in past to denoise the images. Image denoising still has scope for improvement. Visual information…

Image and Video Processing · Electrical Eng. & Systems 2019-09-17 Santosh Paudel , Ajay Kumar Shrestha , Pradip Singh Maharjan , Rameshwar Rijal

Nonlocal patch-based methods, in particular the Bayes' approach of Lebrun, Buades and Morel (2013), are considered as state-of-the-art methods for denoising (color) images corrupted by white Gaussian noise of moderate variance. This paper…

Computer Vision and Pattern Recognition · Computer Science 2016-12-14 Friederike Laus , Mila Nikolova , Johannes Persch , Gabriele Steidl

This paper addresses the problem of image denoising for grayscale images. We propose a probabilistic image generative model that combines a quadtree region-partitioning model with a mixture autoregressive model, and propose a framework that…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Shota Saito , Yuta Nakahara , Kohei Horinouchi , Naoki Ichijo , Manabu Kobayashi , Toshiyasu Matsushima

Super-resolution imaging aims at improving the resolution of an image by enhancing it with other images or data that might have been acquired using different imaging techniques or modalities. In this paper we consider the task of doubling,…

Data Structures and Algorithms · Computer Science 2018-11-08 Andreas Alpers , Peter Gritzmann

Many computer vision applications, such as object recognition and segmentation, increasingly build on superpixels. However, there have been so far few superpixel algorithms that systematically deal with noisy images. We propose to first…

Computer Vision and Pattern Recognition · Computer Science 2018-03-21 Ruobing Shen , Xiaoyu Chen , Xiangrui Zheng , Gerhard Reinelt

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

The problem of reconstruction of digital images from their degraded measurements is regarded as a problem of central importance in various fields of engineering and imaging sciences. In such cases, the degradation is typically caused by the…

Computer Vision and Pattern Recognition · Computer Science 2010-01-06 E. Shaked , O. Michailovich

Plug-and-play denoisers can be used to perform generic image restoration tasks independent of the degradation type. These methods build on the fact that the Maximum a Posteriori (MAP) optimization can be solved using smaller sub-problems,…

Image and Video Processing · Electrical Eng. & Systems 2019-12-23 Siavash Bigdeli , David Honzátko , Sabine Süsstrunk , L. Andrea Dunbar

Light spectra are a very important source of information for diverse classification problems, e.g., for discrimination of materials. To lower the cost for acquiring this information, multispectral cameras are used. Several techniques exist…

Image and Video Processing · Electrical Eng. & Systems 2022-09-19 Frank Sippel , Jürgen Seiler , Nils Genser , André Kaup

Hyperspectral cameras face challenging spatial-spectral resolution trade-offs and are more affected by shot noise than RGB photos taken over the same total exposure time. Here, we present a colorization algorithm to reconstruct…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 M. Kerem Aydin , Qi Guo , Emma Alexander

Multiplicative noise arises in inverse problems when, for example, uncertainty on measurements is proportional to the size of the measurement itself. The likelihood that arises is hence more complicated than that from additive noise. We…

Statistics Theory · Mathematics 2019-11-01 Matthew M. Dunlop

We consider the inverse problem of recovering an unknown functional parameter $u$ in a separable Banach space, from a noisy observation $y$ of its image through a known possibly non-linear ill-posed map ${\mathcal G}$. The data $y$ is…

Statistics Theory · Mathematics 2018-03-14 Sergios Agapiou , Martin Burger , Masoumeh Dashti , Tapio Helin

We consider the inverse problem of estimating an unknown function $u$ from noisy measurements $y$ of a known, possibly nonlinear, map $\mathcal{G}$ applied to $u$. We adopt a Bayesian approach to the problem and work in a setting where the…

Probability · Mathematics 2013-09-20 Masoumeh Dashti , Kody J. H. Law , Andrew M. Stuart , Jochen Voss

Photoacoustic imaging (PAI) suffers from inherent limitations that can degrade the quality of reconstructed results, such as noise, artifacts and incomplete data acquisition caused by sparse sampling or partial array detection. In this…

Optics · Physics 2025-01-07 Yu Zhang , Shuang Li , Yibing Wang , Yu Sun , Wenyi Xiang

Image super-resolution (SR) is an underdetermined inverse problem, where a large number of plausible high-resolution images can explain the same downsampled image. Most current single image SR methods use empirical risk minimisation, often…

Computer Vision and Pattern Recognition · Computer Science 2017-02-28 Casper Kaae Sønderby , Jose Caballero , Lucas Theis , Wenzhe Shi , Ferenc Huszár

The pretrained diffusion model as a strong prior has been leveraged to address inverse problems in a zero-shot manner without task-specific retraining. Different from the unconditional generation, the measurement-guided generation requires…

Optimization and Control · Mathematics 2025-03-14 Ji Li , Chao Wang

Medical image denoising is essential for improving the reliability of clinical diagnosis and guiding subsequent image-based tasks. In this paper, we propose a multi-scale approach that integrates anisotropic Gaussian filtering with…

Image and Video Processing · Electrical Eng. & Systems 2025-03-12 Arghya Pal , Sailaja Rajanala , CheeMing Ting , Raphael Phan

All techniques for denoising involve a notion of a true (noise-free) image, and a hypothesis space. The hypothesis space may reconstruct the image directly as a grayscale valued function, or indirectly by its Fourier or wavelet spectrum.…

Image and Video Processing · Electrical Eng. & Systems 2025-05-29 Sajal Chakroborty , Suddhasattwa Das
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