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We propose an image deconvolution algorithm when the data is contaminated by Poisson noise. The image to restore is assumed to be sparsely represented in a dictionary of waveforms such as the wavelet or curvelet transforms. Our key…

Applications · Statistics 2009-11-13 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

We propose a deconvolution algorithm for images blurred and degraded by a Poisson noise. The algorithm uses a fast proximal backward-forward splitting iteration. This iteration minimizes an energy which combines a \textit{non-linear} data…

Applications · Statistics 2008-12-18 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

Under certain statistical assumptions of noise, recent self-supervised approaches for denoising have been introduced to learn network parameters without true clean images, and these methods can restore an image by exploiting information…

Computer Vision and Pattern Recognition · Computer Science 2020-01-10 Seunghwan Lee , Donghyeon Cho , Jiwon Kim , Tae Hyun Kim

Photoacoustic tomography is a hybrid biomedical technology, which combines the advantages of acoustic and optical imaging. However, for the conventional image reconstruction method, the image quality is affected obviously by artifacts under…

Image and Video Processing · Electrical Eng. & Systems 2024-06-26 Bowei Yao , Yi Zeng , Haizhao Dai , Qing Wu , Youshen Xiao , Fei Gao , Yuyao Zhang , Jingyi Yu , Xiran Cai

We propose a data-dependent denoising procedure to restore noisy images. Different from existing denoising algorithms which search for patches from either the noisy image or a generic database, the new algorithm finds patches from a…

Computer Vision and Pattern Recognition · Computer Science 2015-06-22 Enming Luo , Stanley H. Chan , Truong Q. Nguyen

The importance of developing efficient image denoising methods is immense especially for modern applications such as image comparisons, image monitoring, medical image diagnostics, and so forth. Available methods in the vast literature on…

Applications · Statistics 2025-08-26 Subhasish Basak , Partha Sarathi Mukherjee

Deep dictionary learning seeks multiple dictionaries at different image scales to capture complementary coherent characteristics. We propose a method for learning a hierarchy of synthesis dictionaries with an image classification goal. The…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Shahin Mahdizadehaghdam , Ashkan Panahi , Hamid Krim , Liyi Dai

Image noise modeling is a long-standing problem with many applications in computer vision. Early attempts that propose simple models, such as signal-independent additive white Gaussian noise or the heteroscedastic Gaussian noise model…

Image and Video Processing · Electrical Eng. & Systems 2022-06-03 Ali Maleky , Shayan Kousha , Michael S. Brown , Marcus A. Brubaker

With the proliferation of sophisticated cameras in modern society, the demand for accurate and visually pleasing images is increasing. However, the quality of an image captured by a camera may be degraded by noise. Thus, some processing of…

Image and Video Processing · Electrical Eng. & Systems 2024-07-18 Kelum Gajamannage

Astronomical images suffer a constant presence of multiple defects that are consequences of the intrinsic properties of the acquisition equipments, and atmospheric conditions. One of the most frequent defects in astronomical imaging is the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Simon Beckouche , Jean-Luc Starck , Jalal Fadili

This paper addresses the issue of building a part-based representation of a dataset of images. More precisely, we look for a non-negative, sparse decomposition of the images on a reduced set of atoms, in order to unveil a morphological and…

Computer Vision and Pattern Recognition · Computer Science 2019-04-04 Bastien Ponchon , Santiago Velasco-Forero , Samy Blusseau , Jesus Angulo , Isabelle Bloch

Image denoising is still a challenging issue in many computer vision sub-domains. Recent studies show that significant improvements are made possible in a supervised setting. However, few challenges, such as spatial fidelity and…

Computer Vision and Pattern Recognition · Computer Science 2022-07-13 Masud An Nur Islam Fahim , Nazmus Saqib , Shafkat Khan Siam , Ho Yub Jung

Many prior face anti-spoofing works develop discriminative models for recognizing the subtle differences between live and spoof faces. Those approaches often regard the image as an indivisible unit, and process it holistically, without…

Computer Vision and Pattern Recognition · Computer Science 2018-07-27 Amin Jourabloo , Yaojie Liu , Xiaoming Liu

This paper develops a new mathematical framework for denoising in blind two-dimensional (2D) super-resolution upon using the atomic norm. The framework denoises a signal that consists of a weighted sum of an unknown number of time-delayed…

Information Theory · Computer Science 2023-07-19 Mohamed A. Suliman , Wei Dai

The lack of large-scale noisy-clean image pairs restricts supervised denoising methods' deployment in actual applications. While existing unsupervised methods are able to learn image denoising without ground-truth clean images, they either…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Yi Zhang , Dasong Li , Ka Lung Law , Xiaogang Wang , Hongwei Qin , Hongsheng Li

Subsea images measured by the side scan sonars (SSSs) are necessary visual data in the process of deep-sea exploration by using the autonomous underwater vehicles (AUVs). They could vividly reflect the topography of the seabed, but usually…

Image and Video Processing · Electrical Eng. & Systems 2021-08-30 Xiaoteng Zhou , Changli Yu , Xin Yuan , Citong Luo

Sparse coding, which is the decomposition of a vector using only a few basis elements, is widely used in machine learning and image processing. The basis set, also called dictionary, is learned to adapt to specific data. This approach has…

Machine Learning · Computer Science 2011-12-13 Louise Benoît , Julien Mairal , Francis Bach , Jean Ponce

Optical Coherence Tomography (OCT) image denoising is a fundamental problem as OCT images suffer from multiplicative speckle noise, resulting in poor visibility of retinal layers. The traditional denoising methods consider specific…

Image and Video Processing · Electrical Eng. & Systems 2022-09-21 Arka Saha , Sourya Sengupta

In this paper we aim to tackle the problem of reconstructing a high-resolution image from a single low-resolution input image, known as single image super-resolution. In the literature, sparse representation has been used to address this…

Computer Vision and Pattern Recognition · Computer Science 2016-03-23 Mohammad Rostami , Zhou Wang

Image defogging is a technique used extensively for enhancing visual quality of images in bad weather condition. Even though defogging algorithms have been well studied, defogging performance is degraded by demosaicking artifacts and sensor…

Computer Vision and Pattern Recognition · Computer Science 2017-05-24 Y. J. Lee , K. Hirakawa , T. Q. Nguyen