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The Multiscale Hierarchical Decomposition Method (MHDM) was introduced as an iterative method for total variation regularization, with the aim of recovering details at various scales from images corrupted by additive or multiplicative…

Numerical Analysis · Mathematics 2023-09-28 Stefan Kindermann , Elena Resmerita , Tobias Wolf

The blind image deconvolution is a challenging, highly ill-posed nonlinear inverse problem. We introduce a Multiscale Hierarchical Decomposition Method (MHDM) that is iteratively solving variational problems with adaptive data and…

Numerical Analysis · Mathematics 2025-08-21 Tobias Wolf , Stefan Kindermann , Elena Resmerita , Luminita Vese

We address the denoising of images contaminated with multiplicative noise, e.g. speckle noise. Classical ways to solve such problems are filtering, statistical (Bayesian) methods, variational methods, and methods that convert the…

Optimization and Control · Mathematics 2008-12-10 Sylvain Durand , Jalal Fadili , Mila Nikolova

Single image denoising (SID) has achieved significant breakthroughs with the development of deep learning. However, the proposed methods are often accompanied by plenty of parameters, which greatly limits their application scenarios.…

Computer Vision and Pattern Recognition · Computer Science 2022-05-02 Juncheng Li , Hanhui Yang , Qiaosi Yi , Faming Fang , Guangwei Gao , Tieyong Zeng , Guixu Zhang

Image denoising is a typical ill-posed problem due to complex degradation. Leading methods based on normalizing flows have tried to solve this problem with an invertible transformation instead of a deterministic mapping. However, the…

Computer Vision and Pattern Recognition · Computer Science 2023-02-01 Wenchao Du , Hu Chen , Yi Zhang , H. Yang

Acquired images for medical and other purposes can be affected by noise from both the equipment used in the capturing or the environment. This can have adverse effect on the information therein. Thus, the need to restore the image to its…

Image and Video Processing · Electrical Eng. & Systems 2024-01-19 E. G. Onyedinma , I. E. Onyenwe

Image denoising and artefact removal are complex inverse problems admitting multiple valid solutions. Unsupervised diversity restoration, that is, obtaining a diverse set of possible restorations given a corrupted image, is important for…

Image and Video Processing · Electrical Eng. & Systems 2022-02-25 Mangal Prakash , Mauricio Delbracio , Peyman Milanfar , Florian Jug

Image restoration is a long-standing low-level vision problem, e.g., deblurring and deraining. In the process of image restoration, it is necessary to consider not only the spatial details and contextual information of restoration to ensure…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 Hu Gao , Depeng Dang

Image deblurring aims to restore the detailed texture information or structures from blurry images, which has become an indispensable step in many computer vision tasks. Although various methods have been proposed to deal with the image…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Yanni Zhang , Qiang Li , Miao Qi , Di Liu , Jun Kong , Jianzhong Wang

Multiplicative noise (also known as speckle noise) models are central to the study of coherent imaging systems, such as synthetic aperture radar and sonar, and ultrasound and laser imaging. These models introduce two additional layers of…

Optimization and Control · Mathematics 2015-05-14 José M. Bioucas-Dias , Mário A. T. Figueiredo

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

During the acquisition of an image from its source, noise always becomes an integral part of it. Various algorithms have been used in past to denoise the images. Image denoising still has scope for improvement. Visual information…

Image and Video Processing · Electrical Eng. & Systems 2019-09-17 Santosh Paudel , Ajay Kumar Shrestha , Pradip Singh Maharjan , Rameshwar Rijal

Dynamic mode decomposition (DMD) is an efficient tool for decomposing spatio-temporal data into a set of low-dimensional modes, yielding the oscillation frequencies and the growth rates of physically significant modes. In this paper, we…

Dynamical Systems · Mathematics 2023-02-21 Minwoo Lee , Jongho Park

Advances in microscopy imaging enable researchers to visualize structures at the nanoscale level thereby unraveling intricate details of biological organization. However, challenges such as image noise, photobleaching of fluorophores, and…

Image and Video Processing · Electrical Eng. & Systems 2024-09-19 Pamela Osuna-Vargas , Maren H. Wehrheim , Lucas Zinz , Johanna Rahm , Ashwin Balakrishnan , Alexandra Kaminer , Mike Heilemann , Matthias Kaschube

In machine learning approach to image denoising a network is trained to recover a clean image from a noisy one. In this paper a novel structure is proposed based on training multiple specialized networks as opposed to existing structures…

Image and Video Processing · Electrical Eng. & Systems 2020-12-01 Seyed Mohsen Hosseini

Image denoising can be described as the problem of mapping from a noisy image to a noise-free image. The best currently available denoising methods approximate this mapping with cleverly engineered algorithms. In this work we attempt to…

Computer Vision and Pattern Recognition · Computer Science 2012-11-12 Harold Christopher Burger , Christian J. Schuler , Stefan Harmeling

The non-uniform photoelectric response of infrared imaging systems results in fixed-pattern stripe noise being superimposed on infrared images, which severely reduces image quality. As the applications of degraded infrared images are…

Image and Video Processing · Electrical Eng. & Systems 2022-09-30 Zeshan Fayyaz , Daniel Platnick , Hannan Fayyaz , Nariman Farsad

Coherent imaging systems, such as medical ultrasound and synthetic aperture radar (SAR), are subject to corruption from speckle due to sub-resolution scatterers. Since speckle is multiplicative in nature, the constituent image regions…

Image and Video Processing · Electrical Eng. & Systems 2023-11-21 Soumee Guha , Scott T. Acton

Noise is an important factor which when get added to an image reduces its quality and appearance. So in order to enhance the image qualities, it has to be removed with preserving the textural information and structural features of image.…

Computer Vision and Pattern Recognition · Computer Science 2019-01-23 Vivek Kumar , Atul Samadhiya

Modern digital cameras rely on the sequential execution of separate image processing steps to produce realistic images. The first two steps are usually related to denoising and demosaicking where the former aims to reduce noise from the…

Computer Vision and Pattern Recognition · Computer Science 2019-04-02 Filippos Kokkinos , Stamatios Lefkimmiatis
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