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Stein's unbiased risk estimator (SURE) has been shown to be an effective metric for determining optimal parameters for many applications. The topic of this article is focused on the use of SURE for determining parameters for blind…

Numerical Analysis · Mathematics 2022-03-01 Toby Sanders

We propose a general learning based framework for solving nonsmooth and nonconvex image reconstruction problems. We model the regularization function as the composition of the $l_{2,1}$ norm and a smooth but nonconvex feature mapping…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Yunmei Chen , Hongcheng Liu , Xiaojing Ye , Qingchao Zhang

We study a blind deconvolution problem on graphs, which arises in the context of localizing a few sources that diffuse over networks. While the observations are bilinear functions of the unknown graph filter coefficients and sparse input…

Signal Processing · Electrical Eng. & Systems 2024-09-19 Chang Ye , Gonzalo Mateos

We consider sequential and parallel decomposition methods for a dual problem of a general total variation minimization problem with applications in several image processing tasks, like image inpainting, estimation of optical flow and…

Numerical Analysis · Mathematics 2022-11-02 Stephan Hilb , Andreas Langer

This paper addresses the problem of high-resolution Doppler blood flow estimation from an ultrafast sequence of ultrasound images. Formulating the separation of clutter and blood components as an inverse problem has been shown in the…

Image and Video Processing · Electrical Eng. & Systems 2020-07-13 Duong-Hung Pham , Adrian Basarab , Ilyess Zemmoura , Jean-Pierre Remenieras , Denis Kouame

We present a new perspective on the celebrated Sinkhorn algorithm by showing that is a special case of incremental/stochastic mirror descent. In order to see this, one should simply plug Kullback-Leibler divergence in both mirror map and…

Machine Learning · Computer Science 2019-09-17 Konstantin Mishchenko

Self-supervised video denoising aims to remove noise from videos without relying on ground truth data, leveraging the video itself to recover clean frames. Existing methods often rely on simplistic feature stacking or apply optical flow…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Zikang Chen , Tao Jiang , Xiaowan Hu , Wang Zhang , Huaqiu Li , Haoqian Wang

Deconvolution of the telescope Point Spread Function (PSF) is necessary for even moderate dynamic range imaging with interferometric telescopes. The process of deconvolution can be treated as a search for a model image such that the…

Astrophysics · Physics 2009-11-10 S. Bhatnagar , T. J. Cornwell

A very popular approach for solving stochastic optimization problems is the stochastic gradient descent method (SGD). Although the SGD iteration is computationally cheap and the practical performance of this method may be satisfactory under…

Optimization and Control · Mathematics 2017-06-21 Andrei Patrascu , Ion Necoara

In this paper the problem of blind super-resolution of sparse signals using arbitrary sampling scheme and atomic lift is discussed. After comprehensive description on blind superresolution problem, it is shown that using Prolate Spheroidal…

Signal Processing · Electrical Eng. & Systems 2019-07-09 Hoomaan Hezaveh , Milad Javadzadeh , MohammadHossein Kahaei

In this paper, we propose a fully convolutional networks for iterative non-blind deconvolution We decompose the non-blind deconvolution problem into image denoising and image deconvolution. We train a FCNN to remove noises in the gradient…

Computer Vision and Pattern Recognition · Computer Science 2016-11-22 Jiawei Zhang , Jinshan Pan , Wei-Sheng Lai , Rynson Lau , Ming-Hsuan Yang

We present a new method for blind motion deblurring that uses a neural network trained to compute estimates of sharp image patches from observations that are blurred by an unknown motion kernel. Instead of regressing directly to patch…

Computer Vision and Pattern Recognition · Computer Science 2016-08-02 Ayan Chakrabarti

This paper presents a novel stochastic optimisation methodology to perform empirical Bayesian inference in semi-blind image deconvolution problems. Given a blurred image and a parametric class of possible operators, the proposed…

Applications · Statistics 2024-03-12 Charlesquin Kemajou Mbakam , Marcelo Pereyra , Jean-François Giovannelli

In this note, we consider a special instance of the scaled, inexact and adaptive generalised Fast Iterative Soft-Thresholding Algorithm (SAGE-FISTA) recently proposed in (Rebegoldi, Calatroni, '21) for the efficient solution of strongly…

Optimization and Control · Mathematics 2021-04-02 Luca Calatroni , Simone Rebegoldi

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,…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Leonid Kostrykin , Stefan Harmeling

Objective: To simultaneously deblur and supersample prostate specific membrane antigen (PSMA) positron emission tomography (PET) images using neural blind deconvolution. Approach: Blind deconvolution is a method of estimating the…

Medical Physics · Physics 2024-04-11 Caleb Sample , Arman Rahmim , Carlos Uribe , François Bénard , Jonn Wu , Roberto Fedrigo , Haley Clark

Image deconvolution is still to be a challenging ill-posed problem for recovering a clear image from a given blurry image, when the point spread function is known. Although competitive deconvolution methods are numerically impressive and…

Computer Vision and Pattern Recognition · Computer Science 2016-09-07 Hang Yang , Zhongbo Zhang , Yujing Guan

Image blurring refers to the degradation of an image wherein the image's overall sharpness decreases. Image blurring is caused by several factors. Additionally, during the image acquisition process, noise may get added to the image. Such a…

Computer Vision and Pattern Recognition · Computer Science 2022-05-10 Poorna Banerjee Dasgupta

We present a new method for joint likelihood deconvolution (Jolideco) of a set of astronomical observations of the same sky region in the presence of Poisson noise. The observations may be obtained from different instruments with different…

Instrumentation and Methods for Astrophysics · Physics 2024-03-22 Axel Donath , Aneta Siemiginowska , Vinay L. Kashyap , David A. van Dyk , Douglas Burke

The removal of blur from a signal, in the presence of noise, is readily accomplished if the blur can be described in precise mathematical terms. However, there is growing interest in problems where the extent of blur is known only…

Statistics Theory · Mathematics 2007-11-06 Peter Hall , Peihua Qiu