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In image deconvolution problems, the diagonalization of the underlying operators by means of the FFT usually yields very large speedups. When there are incomplete observations (e.g., in the case of unknown boundaries), standard…

计算机视觉与模式识别 · 计算机科学 2016-08-31 Miguel Simões , Luis B. Almeida , José Bioucas-Dias , Jocelyn Chanussot

Total variation (TV) regularization is popular in image restoration and reconstruction due to its ability to preserve image edges. To date, most research activities on TV models concentrate on image restoration from blurry and noisy…

最优化与控制 · 数学 2010-01-13 Yunhai Xiao , Junfeng Yang

In this paper, we revisit the "FTVd" algorithm for Fast Total Variation Regularized Deconvolution, which has been widely used in the past few years. Both its original version implemented in the MATLAB software FTVd 3.0 and its related…

计算机视觉与模式识别 · 计算机科学 2014-05-19 Yilun Wang

Blind deconvolution is the problem of recovering a sharp image and a blur kernel from a noisy blurry image. Recently, there has been a significant effort on understanding the basic mechanisms to solve blind deconvolution. While this effort…

计算机视觉与模式识别 · 计算机科学 2014-12-02 Daniele Perrone , Paolo Favaro

The alternating direction method of multipliers (ADMM) has recently sparked interest as a flexible and efficient optimization tool for imaging inverse problems, namely deconvolution and reconstruction under non-smooth convex regularization.…

最优化与控制 · 数学 2015-06-11 Mariana S. C. Almeida , Mário A. T. Figueiredo

Solving an optimization problem whose objective function is the sum of two convex functions has received considerable interests in the context of image processing recently. In particular, we are interested in the scenario when a…

计算机视觉与模式识别 · 计算机科学 2014-12-16 Dai-Qiang Chen

In this paper, we consider a class of nonconvex problems with linear constraints appearing frequently in the area of image processing. We solve this problem by the penalty method and propose the iteratively reweighted alternating…

最优化与控制 · 数学 2019-02-13 Tao Sun , Dongsheng Li , Hao Jiang , Zhe Quan

In this paper, we propose a novel design of image deblurring in the form of one-shot convolution filtering that can directly convolve with naturally blurred images for restoration. The problem of optical blurring is a common disadvantage to…

图像与视频处理 · 电气工程与系统科学 2019-07-22 Mahdi S. Hosseini , Konstantinos N. Plataniotis

In this work, a new constrained hybrid variational deblurring model is developed by combining the non-convex first- and second-order total variation regularizers. Moreover, a box constraint is imposed on the proposed model to guarantee high…

计算机视觉与模式识别 · 计算机科学 2013-10-03 Ryan Wen Liu , Tian Xu

The quadratic penalty alternating minimization (AM) method is widely used for solving the convex $\ell_1$ total variation (TV) image deblurring problem. However, quadratic penalty AM for solving the nonconvex nonsmooth $\ell_p$, $0 < p < 1$…

This paper demonstrates a practical method that can correct spatial varying blur from a set of images of the same object. The algorithm jointly estimates the object and local point spread functions~(PSF). The method prioritizes sections…

图像与视频处理 · 电气工程与系统科学 2020-11-04 Wouter van de Ketterij , Oleg Soloviev , Michel Verhaegen

The problem of image blurring is one of the most studied topics in the field of image processing. Image blurring is caused by various factors such as hand or camera shake. To restore the blurred image, it is necessary to know information…

计算机视觉与模式识别 · 计算机科学 2023-10-03 M. Zarebnia , R. Parvaz

In this paper we propose a global optimization-based approach to jointly matching a set of images. The estimated correspondences simultaneously maximize pairwise feature affinities and cycle consistency across multiple images. Unlike…

计算机视觉与模式识别 · 计算机科学 2015-12-03 Xiaowei Zhou , Menglong Zhu , Kostas Daniilidis

Owing to the edge preserving ability and low computational cost of the total variation (TV), variational models with the TV regularization have been widely investigated in the field of multiplicative noise removal. The key points of the…

计算机视觉与模式识别 · 计算机科学 2015-03-18 Dai-Qiang Chen , Li-Zhi Cheng

The total variation (TV) regularization has phenomenally boosted various variational models for image processing tasks. We propose to combine the backward diffusion process in the earlier literature of image enhancement with the TV…

图像与视频处理 · 电气工程与系统科学 2023-06-14 Congpei An , Hao-Ning Wu , Xiaoming Yuan

Deconvolution is the most commonly used image processing method to remove the blur caused by the point-spread-function (PSF) in optical imaging systems. While this method has been successful in deblurring, it suffers from several…

图像与视频处理 · 电气工程与系统科学 2019-10-10 Huangxuan Zhao , Ziwen Ke , Ningbo Chen , Ke Li , Lidai Wang , Xiaojing Gong , Wei Zheng , Liang Song , Zhicheng Liu , Dong Liang , Chengbo Liu

Image blur and image noise are imaging artifacts intrinsically arising in image acquisition. In this paper, we consider multi-frame blind deconvolution (MFBD), where image blur is described by the convolution of an unobservable,…

计算机视觉与模式识别 · 计算机科学 2022-10-04 Leonid Kostrykin , Stefan Harmeling

Blind image deblurring is a challenging low-level vision task that involves estimating the unblurred image when the blur kernel is unknown. In this paper, we present a self-supervised multi-scale blind image deblurring method to jointly…

计算机视觉与模式识别 · 计算机科学 2024-09-04 Lening Guo , Jing Yu , Ning Zhang , Chuangbai Xiao

This paper addresses the deconvolution of an image that has been obtained by superimposing many copies of an underlying unknown image of interest. The superposition is assumed to not be exact due to noise, and is described using an error…

数值分析 · 数学 2007-10-04 Wooram Park , Daniel N. Rockmore , Dean Madden , Gregory S. Chirikjian

Due to the COVID-19 pandemic, there is an increasing demand for portable CT machines worldwide in order to diagnose patients in a variety of settings. This has led to a need for CT image reconstruction algorithms that can produce high…

数值分析 · 数学 2025-12-10 Mai Phuong Pham Huynh , Manuel Santana , Ana Castillo
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