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We investigate the recovery of signals exhibiting a sparse representation in a general (i.e., possibly redundant or incomplete) dictionary that are corrupted by additive noise admitting a sparse representation in another general dictionary.…

Information Theory · Computer Science 2011-12-08 Christoph Studer , Patrick Kuppinger , Graeme Pope , Helmut Bölcskei

We investigate the task of learning blind image denoising networks from an unpaired set of clean and noisy images. Such problem setting generally is practical and valuable considering that it is feasible to collect unpaired noisy and clean…

Image and Video Processing · Electrical Eng. & Systems 2020-09-01 Xiaohe Wu , Ming Liu , Yue Cao , Dongwei Ren , Wangmeng Zuo

The field of image denoising is currently dominated by discriminative deep learning methods that are trained on pairs of noisy input and clean target images. Recently it has been shown that such methods can also be trained without clean…

Computer Vision and Pattern Recognition · Computer Science 2019-04-08 Alexander Krull , Tim-Oliver Buchholz , Florian Jug

We demonstrate that image reconstruction can be achieved via a convolutional neural network for a "see-through" computational camera comprised of a transparent window and a CMOS image sensor. Furthermore, we compared classification results…

Image and Video Processing · Electrical Eng. & Systems 2019-08-27 Zhimeng Pan , Brian Rodriguez , Rajesh Menon

Real-world biosignal data is frequently corrupted by various types of noise, such as motion artifacts, and baseline wander. Although digital signal processing techniques exist to process such signals; however, heavily degraded signals…

Signal Processing · Electrical Eng. & Systems 2025-12-10 Sansrit Paudel

Deep learning is a very promising technique for low-dose computed tomography (LDCT) image denoising. However, traditional deep learning methods require paired noisy and clean datasets, which are often difficult to obtain. This paper…

Image and Video Processing · Electrical Eng. & Systems 2023-08-15 Yuting Zhu , Qiang He , Yudong Yao , Yueyang Teng

We propose a general framework for solving inverse problems in the presence of noise that requires no signal prior, no noise estimate, and no clean training data. We only require that the forward model be available and that the noise be…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Hirofumi Kobayashi , Ahmet Can Solak , Joshua Batson , Loic A. Royer

We propose a novel self-supervised image blind denoising approach in which two neural networks jointly predict the clean signal and infer the noise distribution. Assuming that the noisy observations are independent conditionally to the…

Machine Learning · Computer Science 2021-02-17 Jean Ollion , Charles Ollion , Elisabeth Gassiat , Luc Lehéricy , Sylvain Le Corff

Lensless cameras relax the design constraints of traditional cameras by shifting image formation from analog optics to digital post-processing. While new camera designs and applications can be enabled, lensless imaging is very sensitive to…

Image and Video Processing · Electrical Eng. & Systems 2025-01-22 Eric Bezzam , Stefan Peters , Martin Vetterli

This paper develops new theory and algorithms to recover signals that are approximately sparse in some general dictionary (i.e., a basis, frame, or over-/incomplete matrix) but corrupted by a combination of interference having a sparse…

Information Theory · Computer Science 2013-09-06 Christoph Studer , Richard G. Baraniuk

Learning-based denoising algorithms achieve state-of-the-art performance across various denoising tasks. However, training such models relies on access to large training datasets consisting of clean and noisy image pairs. On the other hand,…

Image and Video Processing · Electrical Eng. & Systems 2025-03-31 Ali Zafari , Xi Chen , Shirin Jalali

Is it possible to recover an image from its noisy version using convolutional neural networks? This is an interesting problem as convolutional layers are generally used as feature detectors for tasks like classification, segmentation and…

Computer Vision and Pattern Recognition · Computer Science 2017-08-02 Nithish Divakar , R. Venkatesh Babu

Image denoising methods must effectively model, implicitly or explicitly, the vast diversity of patterns and textures that occur in natural images. This is challenging, even for modern methods that leverage deep neural networks trained to…

Computer Vision and Pattern Recognition · Computer Science 2019-12-11 Zhihao Xia , Ayan Chakrabarti

Deep neural networks (DNNs) have achieved remarkable success in a variety of computer vision tasks, where massive labeled images are routinely required for model optimization. Yet, the data collected from the open world are unavoidably…

Computer Vision and Pattern Recognition · Computer Science 2023-02-13 Peng Cui , Yang Yue , Zhijie Deng , Jun Zhu

At X-ray beamlines of synchrotron light sources, the achievable time-resolution for 3D tomographic imaging of the interior of an object has been reduced to a fraction of a second, enabling rapidly changing structures to be examined. The…

Image and Video Processing · Electrical Eng. & Systems 2020-07-06 Marinus J. Lagerwerf , Allard A. Hendriksen , Jan-Willem Buurlage , K. Joost Batenburg

In supervised learning for image denoising, usually the paired clean images and noisy images are collected or synthesised to train a denoising model. L2 norm loss or other distance functions are used as the objective function for training.…

Computer Vision and Pattern Recognition · Computer Science 2023-02-07 Yutong Xie , Minne Yuan , Bin Dong , Quanzheng Li

We study the problem of reconstructing an image from information stored at contour locations. We show that high-quality reconstructions with high fidelity to the source image can be obtained from sparse input, e.g., comprising less than…

Computer Vision and Pattern Recognition · Computer Science 2018-04-11 Tali Dekel , Chuang Gan , Dilip Krishnan , Ce Liu , William T. Freeman

This work is concerned with the recovery of piecewise constant images from noisy linear measurements. We study the noise robustness of a variational reconstruction method, which is based on total (gradient) variation regularization. We show…

Numerical Analysis · Mathematics 2025-07-08 Yohann De Castro , Vincent Duval , Romain Petit

In this paper we study the reconstruction of binary sparse signals from partial random circulant measurements. We show that the reconstruction via the least-squares algorithm is as good as the reconstruction via the usually used program…

Information Theory · Computer Science 2020-06-29 Sandra Keiper

Deep neural networks trained end-to-end to map a measurement of a (noisy) image to a clean image perform excellent for a variety of linear inverse problems. Current methods are only trained on a few hundreds or thousands of images as…

Image and Video Processing · Electrical Eng. & Systems 2023-02-24 Tobit Klug , Reinhard Heckel