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Most of existing image denoising methods assume the corrupted noise to be additive white Gaussian noise (AWGN). However, the realistic noise in real-world noisy images is much more complex than AWGN, and is hard to be modelled by simple…

计算机视觉与模式识别 · 计算机科学 2018-07-13 Jun Xu , Lei Zhang , David Zhang

Hyperspectral images (HSIs) are often corrupted by a mixture of several types of noise during the acquisition process, e.g., Gaussian noise, impulse noise, dead lines, stripes, and many others. Such complex noise could degrade the quality…

计算机视觉与模式识别 · 计算机科学 2017-07-11 Yao Wang , Jiangjun Peng , Qian Zhao , Deyu Meng , Yee Leung , Xi-Le Zhao

Image super-resolution (SR) is one of the long-standing and active topics in image processing community. A large body of works for image super resolution formulate the problem with Bayesian modeling techniques and then obtain its…

计算机视觉与模式识别 · 计算机科学 2012-09-20 Haichao Zhang , David Wipf , Yanning Zhang

Robust parameter estimation in computer vision is frequently accomplished by solving the maximum consensus (MaxCon) problem. Widely used randomized methods for MaxCon, however, can only produce {random} approximate solutions, while global…

计算机视觉与模式识别 · 计算机科学 2018-03-26 Pulak Purkait , Christopher Zach , Anders Eriksson

We propose a new family of optimization criteria for variational auto-encoding models, generalizing the standard evidence lower bound. We provide conditions under which they recover the data distribution and learn latent features, and…

机器学习 · 计算机科学 2017-03-01 Shengjia Zhao , Jiaming Song , Stefano Ermon

Tomographic reconstruction is an ill-posed inverse problem that calls for regularization. One possibility is to require sparsity of the unknown in an orthonormal wavelet basis. This in turn can be achieved by variational regularization…

数值分析 · 数学 2018-01-17 Zenith Purisha , Juho Rimpeläinen , Tatiana Bubba , Samuli Siltanen

The goal of this paper is the development of a novel approach for the problem of Noise Removal, based on the theory of Reproducing Kernels Hilbert Spaces (RKHS). The problem is cast as an optimization task in a RKHS, by taking advantage of…

计算机视觉与模式识别 · 计算机科学 2010-11-30 Pantelis Bouboulis , Sergios Theodoridis

In this article, we propose a variational PDE model using $\ell_2-\ell_p$ regulariser for removing Poisson noise in presence of blur. The proposed minimization problem is solved using augmented Lagrangian method. The convergence of the…

数值分析 · 数学 2025-04-14 Abdul Halim , Abdur Rohim

In many scenarios, the communication system suffers from both Gaussian white noise and non-Gaussian impulsive noise. In order to design optimal signal detection method, it is necessary to estimate the parameters of mixed Gaussian-impulsive…

信号处理 · 电气工程与系统科学 2022-09-07 Tianfu Qi , Jun Wang , Xiaonan Chen , Wei Huang

Existing super-resolution models for pathology images can only work in fixed integer magnifications and have limited performance. Though implicit neural network-based methods have shown promising results in arbitrary-scale super-resolution…

图像与视频处理 · 电气工程与系统科学 2023-04-11 Linhao Qu , Minghong Duan , Zhiwei Yang , Manning Wang , Zhijian Song

We consider optimal design of PDE-based Bayesian linear inverse problems with infinite-dimensional parameters. We focus on the A-optimal design criterion, defined as the average posterior variance and quantified by the trace of the…

数值分析 · 数学 2020-04-02 Elizabeth Herman , Alen Alexanderian , Arvind K. Saibaba

Residual variance and the signal-to-noise ratio are important quantities in many statistical models and model fitting procedures. They play an important role in regression diagnostics, in determining the performance limits in estimation and…

统计方法学 · 统计学 2012-09-04 Lee H. Dicker

Image de-blurring is important in many cases of imaging a real scene or object by a camera. This project focuses on de-blurring an image distorted by an out-of-focus blur through a simulation study. A pseudo-inverse filter is first explored…

计算机视觉与模式识别 · 计算机科学 2017-11-03 Yuzhen Lu

This work introduces and characterizes a fast parameterless filter based on the Helgason-Ludwig consistency conditions, used to improve the accuracy of analytical reconstructions of tomographic undersampled datasets. The filter, acting in…

医学物理 · 物理学 2016-09-22 Filippo Arcadu , Jakob Vogel , Marco Stampanoni , Federica Marone

Despite a variety of available techniques the issue of the proper regularization parameter choice for inverse problems still remains one of the biggest challenges. The main difficulty lies in constructing a rule, allowing to compute the…

数值分析 · 数学 2017-10-13 Ernesto De Vito , Massimo Fornasier , Valeriya Naumova

The acquisition of accurately coloured, balanced images in an optical microscope can be a challenge even for experienced microscope operators. This article presents an entirely automatic mechanism for balancing the white level that allows…

计算机视觉与模式识别 · 计算机科学 2026-05-27 Radoslaw Roszczyk , Artur Krupa , Izabella Antoniuk

We study the qualitative properties of optimal regularisation parameters in variational models for image restoration. The parameters are solutions of bilevel optimisation problems with the image restoration problem as constraint. A general…

最优化与控制 · 数学 2020-02-13 Juan Carlos De Los Reyes , Carola-Bibiane Schönlieb , Tuomo Valkonen

Image reconstruction including image restoration and denoising is a challenging problem in the field of image computing. We present a new method, called X-GANs, for reconstruction of arbitrary corrupted resource based on a variant of…

计算机视觉与模式识别 · 计算机科学 2018-08-15 Longfei Liu , Sheng Li , Yisong Chen , Guoping Wang

Residual images and illumination estimation have been proved very helpful in image enhancement. In this paper, we propose a general and novel framework RIS-GAN which explores residual and illumination with Generative Adversarial Networks…

图像与视频处理 · 电气工程与系统科学 2019-12-30 Ling Zhang , Chengjiang Long , Xiaolong Zhang , Chunxia Xiao

In this paper I present a new approach for regression of time series using their own samples. This is a celebrated problem known as Auto-Regression. Dealing with outlier or missed samples in a time series makes the problem of estimation…

人工智能 · 计算机科学 2015-08-19 Mohsen Joneidi