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The use of multicomponent images has become widespread with the improvement of multisensor systems having increased spatial and spectral resolutions. However, the observed images are often corrupted by an additive Gaussian noise. In this…

Data Analysis, Statistics and Probability · Physics 2023-01-19 Caroline Chaux , Laurent Duval , Amel Benazza-Benyahia , Jean-Christophe Pesquet

In this paper we introduce and study a new feature-preserving nonlinear anisotropic diffusion for denoising signals. The proposed partial differential equation is based on a novel diffusivity coefficient that uses a nonlocal automatically…

Analysis of PDEs · Mathematics 2019-07-23 Giacomo Aletti , Monica Moroni , Giovanni Naldi

Smoothing is widely used approach for measurement noise reduction in spectral analysis. However, it suffers from signal distortion caused by peak suppression. A locally self-adjustive smoothing method is developed that retains sharp peaks…

Signal Processing · Electrical Eng. & Systems 2023-10-30 Keisuke Ozawa , Tomoya Itakura , Taisuke Ono

The recent statistical theory of neural networks focuses on nonparametric denoising problems that treat randomness as additive noise. Variability in image classification datasets does, however, not originate from additive noise but from…

Statistics Theory · Mathematics 2025-08-19 Juntong Chen , Sophie Langer , Johannes Schmidt-Hieber

This paper proposes a novel method for automatic MRI denoising that exploits last advances in deep learning feature regression and self-similarity properties of the MR images. The proposed method is a two-stage approach. In the first stage,…

Image and Video Processing · Electrical Eng. & Systems 2019-11-19 Jose V. Manjon , Pierrick Coupe

We propose an adaptive regularization scheme in a variational framework where a convex composite energy functional is optimized. We consider a number of imaging problems including denoising, segmentation and motion estimation, which are…

Computer Vision and Pattern Recognition · Computer Science 2017-03-01 Byung-Woo Hong , Ja-Keoung Koo , Hendrik Dirks , Martin Burger

This review explores anomaly localization in medical images using denoising diffusion models. After providing a brief methodological background of these models, including their application to image reconstruction and their conditioning…

Image and Video Processing · Electrical Eng. & Systems 2025-12-15 Cosmin I. Bercea , Philippe C. Cattin , Julia A. Schnabel , Julia Wolleb

In this work, we propose a framework to learn a local regularization model for solving general image restoration problems. This regularizer is defined with a fully convolutional neural network that sees the image through a receptive field…

Image and Video Processing · Electrical Eng. & Systems 2021-02-12 Jean Prost , Antoine Houdard , Andrés Almansa , Nicolas Papadakis

Image denoising is a fundamental operation in image processing and holds considerable practical importance for various real-world applications. Arguably several thousands of papers are dedicated to image denoising. In the past decade,…

Computer Vision and Pattern Recognition · Computer Science 2016-09-22 Wensen Feng , Peng Qiao , Xuanyang Xi , Yunjin Chen

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

Total variation (TV) denoising is a nonparametric smoothing method that has good properties for preserving sharp edges and contours in objects with spatial structures like natural images. The estimate is sparse in the sense that TV…

Methodology · Statistics 2016-05-06 Sylvain Sardy , Hatef Monajemi

Most of the classical denoising methods restore clear results by selecting and averaging pixels in the noisy input. Instead of relying on hand-crafted selecting and averaging strategies, we propose to explicitly learn this process with deep…

Computer Vision and Pattern Recognition · Computer Science 2019-04-16 Xiangyu Xu , Muchen Li , Wenxiu Sun

We present an adaptive regularization algorithm that can be effectively applied to the optimization problem in deep learning framework. Our regularization algorithm aims to take into account the fitness of data to the current state of model…

Machine Learning · Computer Science 2019-09-02 Junghee Cho , Junseok Kwon , Byung-Woo Hong

Image denoising is a classical signal processing problem that has received significant interest within the image processing community during the past two decades. Most of the algorithms for image denoising has focused on the paradigm of…

Computer Vision and Pattern Recognition · Computer Science 2020-08-26 Varuna De Silva

In this paper a new method of image smoothing for satellite imagery and its applications in environmental remote sensing are presented. This method is based on the global gradient minimization over the whole image. With respect to the image…

Image and Video Processing · Electrical Eng. & Systems 2020-03-19 M. Kiani

During a surface acquisition process using 3D scanners, noise is inevitable and an important step in geometry processing is to remove these noise components from these surfaces (given as points-set or triangulated mesh). The noise-removal…

Graphics · Computer Science 2022-05-16 Sunil Kumar Yadav , Martin Skrodzki , Eric Zimmermann , Konrad Polthier

In this paper we present a spatially-adaptive method for image reconstruction that is based on the concept of statistical multiresolution estimation as introduced in [Frick K, Marnitz P, and Munk A. "Statistical multiresolution Dantzig…

Applications · Statistics 2012-04-19 Klaus Frick , Philipp Marnitz , Axel Munk

We introduce a unified framework based on bi-level optimization schemes to deal with parameter learning in the context of image processing. The goal is to identify the optimal regularizer within a family depending on a parameter in a…

Analysis of PDEs · Mathematics 2022-09-15 Elisa Davoli , Rita Ferreira , Carolin Kreisbeck , Hidde Schönberger

A computational method is introduced for choosing the regularization parameter for total variation (TV) regularization. The approach is based on computing reconstructions at a few different resolutions and various values of regularization…

Along with recent diffusion models, randomized smoothing has become one of a few tangible approaches that offers adversarial robustness to models at scale, e.g., those of large pre-trained models. Specifically, one can perform randomized…

Machine Learning · Computer Science 2023-10-30 Jongheon Jeong , Jinwoo Shin