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The sparse modeling is an evident manifestation capturing the parsimony principle just described, and sparse models are widespread in statistics, physics, information sciences, neuroscience, computational mathematics, and so on. In…

Machine Learning · Computer Science 2023-08-29 Jianyi Lin

As a hybrid imaging technology, photoacoustic microscopy (PAM) imaging suffers from noise due to the maximum permissible exposure of laser intensity, attenuation of ultrasound in the tissue, and the inherent noise of the transducer.…

Image and Video Processing · Electrical Eng. & Systems 2022-01-13 Da He , Jiasheng Zhou , Xiaoyu Shang , Jiajia Luo , Sung-Liang Chen

We consider the problem of image denoising in the presence of noise whose statistical properties are a combination of two different distributions. We focus on noise distributions that are frequently considered in applications, in particular…

Optimization and Control · Mathematics 2016-11-22 Luca Calatroni , Juan Carlos De Los Reyes , Carola-Bibiane Schönlieb

Synthetic Aperture Radar (SAR) images are widely used in remote sensing due to their all-weather, all-day imaging capabilities. However, SAR images are highly susceptible to noise, particularly speckle noise, caused by the coherent imaging…

Information Theory · Computer Science 2024-12-25 Xuran Hu , Mingzhe Zhu , Djordje Stanković , Zhenpeng Feng , Shouhan Mao , Ljubiša Stanković

Lacking rich and realistic data, learned single image denoising algorithms generalize poorly to real raw images that do not resemble the data used for training. Although the problem can be alleviated by the heteroscedastic Gaussian model…

Image and Video Processing · Electrical Eng. & Systems 2020-04-10 Kaixuan Wei , Ying Fu , Jiaolong Yang , Hua Huang

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

In this paper, we propose a new image denoising method, tailored to specific classes of images, assuming that a dataset of clean images of the same class is available. Similarly to the non-local means (NLM) algorithm, the proposed method…

Computer Vision and Pattern Recognition · Computer Science 2017-06-22 Milad Niknejad , Jose M. Bioucas-Dias , Mario A. T. Figueiredo

Image production tools do not always create a clear image, noisy and blurry images are sometimes created. Among these cases, Poissonian noise is one of the most famous noises that appear in medical images and images taken in astronomy.…

Image and Video Processing · Electrical Eng. & Systems 2022-06-14 Reza Parvaz

Clustering images according to their acquisition devices is a well-known problem in multimedia forensics, which is typically faced by means of camera Sensor Pattern Noise (SPN). Such an issue is challenging since SPN is a noise-like signal,…

Computer Vision and Pattern Recognition · Computer Science 2018-12-03 Quoc-Tin Phan , Giulia Boato , Francesco G. B. De Natale

We present a semi-sparsity model for 3D triangular mesh denoising, which is motivated by the success of semi-sparsity regularization in image processing applications. We demonstrate that such a regularization model can be also applied for…

Graphics · Computer Science 2023-05-09 Junqing Huang , Haihui Wang , Michael Ruzhansky

Photoacoustic microscopy (PAM) has been a promising biomedical imaging technology in recent years. However, the point-by-point scanning mechanism results in low-speed imaging, which limits the application of PAM. Reducing sampling density…

Image and Video Processing · Electrical Eng. & Systems 2020-06-09 Jiasheng Zhou , Da He , Xiaoyu Shang , Zhendong Guo , Sung-liang Chen , Jiajia Luo

Sparse coding of images is traditionally done by cutting them into small patches and representing each patch individually over some dictionary given a pre-determined number of nonzero coefficients to use for each patch. In lack of a way to…

Computer Vision and Pattern Recognition · Computer Science 2017-05-30 Reza Borhani , Jeremy Watt , Aggelos Katsaggelos

Prior probability models are a fundamental component of many image processing problems, but density estimation is notoriously difficult for high-dimensional signals such as photographic images. Deep neural networks have provided…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Zahra Kadkhodaie , Eero P. Simoncelli

The 3D Gaussian splatting methods are getting popular. However, they work directly on the signal, leading to a dense representation of the signal. Even with some techniques such as pruning or distillation, the results are still dense. In…

Computer Vision and Pattern Recognition · Computer Science 2024-05-10 Yuanhao Gong

Ultrasound images are widespread in medical diagnosis for musculoskeletal, cardiac, and obstetrical imaging due to the efficiency and non-invasiveness of the acquisition methodology. However, the acquired images are degraded by acoustic…

Image and Video Processing · Electrical Eng. & Systems 2023-06-14 Hojat Asgariandehkordi , Sobhan Goudarzi , Adrian Basarab , Hassan Rivaz

The multivariate linear regression model with shuffled data and additive Gaussian noise arises in various correspondence estimation and matching problems. Focusing on the denoising aspect of this problem, we provide a characterization the…

Machine Learning · Statistics 2017-04-26 Ashwin Pananjady , Martin J. Wainwright , Thomas A. Courtade

Message passing algorithms have been tailored for compressive imaging applications by plugging in different types of off-the-shelf image denoisers. These off-the-shelf denoisers mostly rely on some generic or hand-crafted priors for…

Image and Video Processing · Electrical Eng. & Systems 2025-12-16 Chang Cai , Xiaojun Yuan , Ying-Jun Angela Zhang

A popular approach within the signal processing and machine learning communities consists in modelling signals as sparse linear combinations of atoms selected from a learned dictionary. While this paradigm has led to numerous empirical…

Machine Learning · Computer Science 2015-08-25 Rémi Gribonval , Rodolphe Jenatton , Francis Bach

The data-driven sparse methods such as synthesis dictionary learning (e.g., K-SVD) and sparsifying transform learning have been proven effective in image denoising. However, they are intrinsically single-scale which can lead to suboptimal…

Computer Vision and Pattern Recognition · Computer Science 2021-07-27 Ashkan Abbasi , Amirhassan Monadjemi , Leyuan Fang , Hossein Rabbani , Neda Noormohammadi , Yi Zhang

The vast work in Deep Learning (DL) has led to a leap in image denoising research. Most DL solutions for this task have chosen to put their efforts on the denoiser's architecture while maximizing distortion performance. However, distortion…

Computer Vision and Pattern Recognition · Computer Science 2024-05-21 Guy Ohayon , Theo Adrai , Gregory Vaksman , Michael Elad , Peyman Milanfar