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We describe a novel method for training high-quality image denoising models based on unorganized collections of corrupted images. The training does not need access to clean reference images, or explicit pairs of corrupted images, and can…

Machine Learning · Computer Science 2019-10-29 Samuli Laine , Tero Karras , Jaakko Lehtinen , Timo Aila

Blind and universal image denoising consists of using a unique model that denoises images with any level of noise. It is especially practical as noise levels do not need to be known when the model is developed or at test time. We propose a…

Computer Vision and Pattern Recognition · Computer Science 2020-03-10 Majed El Helou , Sabine Süsstrunk

The success of ptychographic imaging experiments strongly depends on achieving high signal-to-noise ratio. This is particularly important in nanoscale imaging experiments when diffraction signals are very weak and the experiments are…

Image and Video Processing · Electrical Eng. & Systems 2019-06-10 Huibin Chang , Pablo Enfedaque , Jie Zhang , Juliane Reinhardt , Bjoern Enders , Young-Sang Yu , David Shapiro , Christian G. Schroer , Tieyong Zeng , Stefano Marchesini

Recently, impressive denoising results have been achieved by Bayesian approaches which assume Gaussian models for the image patches. This improvement in performance can be attributed to the use of per-patch models. Unfortunately such an…

Computer Vision and Pattern Recognition · Computer Science 2017-12-08 Cecilia Aguerrebere , Andrés Almansa , Julie Delon , Yann Gousseau , Pablo Musé

The observations in many applications consist of counts of discrete events, such as photons hitting a detector, which cannot be effectively modeled using an additive bounded or Gaussian noise model, and instead require a Poisson noise…

Optimization and Control · Mathematics 2011-10-13 Zachary T. Harmany , Roummel F. Marcia , Rebecca M. Willett

Denoising diffusion models have recently shown impressive results in generative tasks. By learning powerful priors from huge collections of training images, such models are able to gradually modify complete noise to a clean natural image…

Computer Vision and Pattern Recognition · Computer Science 2023-06-29 Naama Pearl , Yaron Brodsky , Dana Berman , Assaf Zomet , Alex Rav Acha , Daniel Cohen-Or , Dani Lischinski

Optical measurements often exhibit mixed Poisson-Gaussian noise statistics, which hampers image quality, particularly under low signal-to-noise ratio (SNR) conditions. Computational imaging falls short in such situations when solely…

Image and Video Processing · Electrical Eng. & Systems 2023-11-16 Jacob Seifert , Yifeng Shao , Rens van Dam , Dorian Bouchet , Tristan van Leeuwen , Allard P. Mosk

Multiplicative noise models are often used instead of additive noise models in cases in which the noise variance depends on the state. Furthermore, when Poisson distributions with relatively small counts are approximated with normal…

Optimization and Control · Mathematics 2018-06-08 Ruanui Nicholson , Jari P. Kaipio

This paper provides performance bounds for compressed sensing in the presence of Poisson noise using expander graphs. The Poisson noise model is appropriate for a variety of applications, including low-light imaging and digital streaming,…

Information Theory · Computer Science 2009-11-25 Sina Jafarpour , Rebecca Willett , Maxim Raginsky , Robert Calderbank

The recovery of images from the observations that are degraded by a linear operator and further corrupted by Poisson noise is an important task in modern imaging applications such as astronomical and biomedical ones. Gradient-based…

Computer Vision and Pattern Recognition · Computer Science 2015-03-17 Dai-Qiang Chen

There are two major routes to address the ubiquitous family of inverse problems appearing in signal and image processing, such as denoising or deblurring. A first route relies on Bayesian modeling, where prior probabilities are used to…

Statistics Theory · Mathematics 2026-03-24 Rémi Gribonval , Mila Nikolova

Self-supervised blind denoising for Poisson-Gaussian noise remains a challenging task. Pseudo-supervised pairs constructed from single noisy images re-corrupt the signal and degrade the performance. The visible blindspots solve the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-15 Zejin Wang , Jiazheng Liu , Hao Zhai , Hua Han

In this paper, a methodology is investigated for signal recovery in the presence of non-Gaussian noise. In contrast with regularized minimization approaches often adopted in the literature, in our algorithm the regularization parameter is…

Optimization and Control · Mathematics 2017-01-23 Yosra Marnissi , Yuling Zheng , Emilie Chouzenoux , Jean-Christophe Pesquet

Inspired by group-based sparse coding, recently proposed group sparsity residual (GSR) scheme has demonstrated superior performance in image processing. However, one challenge in GSR is to estimate the residual by using a proper reference…

Computer Vision and Pattern Recognition · Computer Science 2018-03-23 Zhiyuan Zha , Xinggan Zhang , Qiong Wang , Yechao Bai , Lan Tang , Xin Yuan

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

Sparse representation with respect to an overcomplete dictionary is often used when regularizing inverse problems in signal and image processing. In recent years, the Convolutional Sparse Coding (CSC) model, in which the dictionary consists…

Image and Video Processing · Electrical Eng. & Systems 2019-09-13 Dror Simon , Michael Elad

Patch-based denoising algorithms like BM3D have achieved outstanding performance. An important idea for the success of these methods is to exploit the recurrence of similar patches in an input image to estimate the underlying image…

Computer Vision and Pattern Recognition · Computer Science 2019-01-21 Si Lu

During the image acquisition process, noise is usually added to the data mainly due to physical limitations of the acquisition sensor, and also regarding imprecisions during the data transmission and manipulation. In that sense, the…

Machine Learning · Computer Science 2021-01-20 Rafael G. Pires , Daniel F. S. Santos , Marcos C. S. Santana , Claudio F. G. Santos , Joao P. Papa

In this work we propose a technique to remove sparse impulse noise from hyperspectral images. Our algorithm accounts for the spatial redundancy and spectral correlation of such images. The proposed method is based on the recently introduced…

Image and Video Processing · Electrical Eng. & Systems 2019-12-16 Angshul Majumdar , Naushad Ansari , Hemant Aggarwal , Pravesh Biyani

Image reconstruction based on indirect, noisy, or incomplete data remains an important yet challenging task. While methods such as compressive sensing have demonstrated high-resolution image recovery in various settings, there remain issues…

Numerical Analysis · Mathematics 2023-03-07 Jan Glaubitz , Anne Gelb , Guohui Song