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We aim at the solution of inverse problems in imaging, by combining a penalized sparse representation of image patches with an unconstrained smooth one. This allows for a straightforward interpretation of the reconstruction. We formulate…

Image and Video Processing · Electrical Eng. & Systems 2025-03-18 Stanislas Ducotterd , Sebastian Neumayer , Michael Unser

As a powerful statistical image modeling technique, sparse representation has been successfully used in various image restoration applications. The success of sparse representation owes to the development of l1-norm optimization techniques,…

Computer Vision and Pattern Recognition · Computer Science 2015-05-20 Weisheng Dong , Lei Zhang , Guangming Shi , Xiaolin Wu

With the advent of recent advances in unsupervised learning, efficient training of a deep network for image denoising without pairs of noisy and clean images has become feasible. However, most current unsupervised denoising methods are…

Image and Video Processing · Electrical Eng. & Systems 2020-12-08 Kanggeun Lee , Won-Ki Jeong

Many imaging science tasks can be modeled as a discrete linear inverse problem. Solving linear inverse problems is often challenging, with ill-conditioned operators and potentially non-unique solutions. Embedding prior knowledge, such as…

Numerical Analysis · Mathematics 2023-12-07 Elizabeth Newman , Jack Michael Solomon , Matthias Chung

The problem of sparse multichannel blind deconvolution (S-MBD) arises frequently in many engineering applications such as radar/sonar/ultrasound imaging. To reduce its computational and implementation cost, we propose a compression method…

Signal Processing · Electrical Eng. & Systems 2023-07-05 Bahareh Tolooshams , Satish Mulleti , Demba Ba , Yonina C. Eldar

Despite the recent advancement in the study of removing motion blur in an image, it is still hard to deal with strong blurs. While there are limits in removing blurs from a single image, it has more potential to use multiple images, e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2023-07-07 Han Zou , Masanori Suganuma , Takayuki Okatani

A common problem that arises in radar imaging systems, especially those mounted on mobile platforms, is antenna position ambiguity. Approaches to resolve this ambiguity and correct position errors are generally known as radar autofocus.…

Computer Vision and Pattern Recognition · Computer Science 2018-05-10 Hassan Mansour , Dehong Liu , Ulugbek S. Kamilov , Petros T. Boufounos

Image deblurring is a notoriously challenging ill-posed inverse problem. In recent years, a wide variety of approaches have been proposed based upon regularization at the level of the image or on techniques from machine learning. We propose…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Gabriel Rioux , Rustum Choksi , Tim Hoheisel , Pierre Marechal , Christopher Scarvelis

Blind deconvolution is an ill-posed problem arising in various fields ranging from microscopy to astronomy. The ill-posed nature of the problem requires adequate priors to arrive to a desirable solution. Recently, it has been shown that…

Computer Vision and Pattern Recognition · Computer Science 2021-12-21 Gustav Bredell , Ertunc Erdil , Bruno Weber , Ender Konukoglu

The performance of an imaging system is limited by optical aberrations, which cause blurriness in the resulting image. Digital correction techniques, such as deconvolution, have limited ability to correct the blur, since some spatial…

Computer Vision and Pattern Recognition · Computer Science 2024-02-14 Amit Kohli , Anastasios N. Angelopoulos , Laura Waller

This paper presents a novel saturation aware space variant blind image deblurring framework designed to address challenges posed by saturated pixels in deblurring under high dynamic range and low light conditions. The proposed approach…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Muhammad Z. Alam , Larry Stetsiuk , Arooba Zeshan

Most existing methods usually formulate the non-blind deconvolution problem into a maximum-a-posteriori framework and address it by manually designing kinds of regularization terms and data terms of the latent clear images. However,…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Pin-Hung Kuo , Jinshan Pan , Shao-Yi Chien , Ming-Hsuan Yang

Deconvolution is a fundamental inverse problem in signal processing and the prototypical model for recovering a signal from its noisy measurement. Nevertheless, the majority of model-based inversion techniques require knowledge on the…

Signal Processing · Electrical Eng. & Systems 2020-07-23 Arttu Arjas , Lassi Roininen , Mikko J. Sillanpää , Andreas Hauptmann

Motion deblurring has witnessed rapid development in recent years, and most of the recent methods address it by using deep learning techniques, with the help of different kinds of prior knowledge. Concerning that deblurring is essentially…

Computer Vision and Pattern Recognition · Computer Science 2021-09-21 Yuedong Chen , Junjia Huang , Jianfeng Wang , Xiaohua Xie

Guided sparse depth upsampling aims to upsample an irregularly sampled sparse depth map when an aligned high-resolution color image is given as guidance. Many neural networks have been designed for this task. However, they often ignore the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Yi Guo , Ji Liu

Image de-blurring is important in many cases of imaging a real scene or object by a camera. This project focuses on de-blurring an image distorted by an out-of-focus blur through a simulation study. A pseudo-inverse filter is first explored…

Computer Vision and Pattern Recognition · Computer Science 2017-11-03 Yuzhen Lu

We present a neural network model approach for multi-frame blind deconvolution. The discriminative approach adopts and combines two recent techniques for image deblurring into a single neural network architecture. Our proposed…

Computer Vision and Pattern Recognition · Computer Science 2017-03-06 Patrick Wieschollek , Bernhard Schölkopf , Hendrik P. A. Lensch , Michael Hirsch

We present a method for supervised learning of sparsity-promoting regularizers for image denoising. Sparsity-promoting regularization is a key ingredient in solving modern image reconstruction problems; however, the operators underlying…

Image and Video Processing · Electrical Eng. & Systems 2020-06-11 Michael T. McCann , Saiprasad Ravishankar

Shadows are a common factor degrading image quality. Single-image shadow removal (SR), particularly under challenging indirect illumination, is hampered by non-uniform content degradation and inherent ambiguity. Consequently, traditional…

Computer Vision and Pattern Recognition · Computer Science 2025-07-23 Yu-Fan Lin , Chia-Ming Lee , Chih-Chung Hsu

Extracting depth information from photon-limited, defocused images is challenging because depth from defocus (DfD) relies on accurate estimation of defocus blur, which is fundamentally sensitive to image noise. We present a novel approach…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Wei Xu , Charles James Wagner , Junjie Luo , Qi Guo