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Blind inpainting algorithms based on deep learning architectures have shown a remarkable performance in recent years, typically outperforming model-based methods both in terms of image quality and run time. However, neural network…

Computer Vision and Pattern Recognition · Computer Science 2022-05-16 Jenny Schmalfuss , Erik Scheurer , Heng Zhao , Nikolaos Karantzas , Andrés Bruhn , Demetrio Labate

Most image deblurring methods assume an over-simplistic image formation model and as a result are sensitive to more realistic image degradations. We propose a novel variational framework, that explicitly handles pixel saturation, noise,…

Computer Vision and Pattern Recognition · Computer Science 2018-06-05 Jérémy Anger , Mauricio Delbracio , Gabriele Facciolo

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

The Bayesian solution to a statistical inverse problem can be summarised by a mode of the posterior distribution, i.e. a MAP estimator. The MAP estimator essentially coincides with the (regularised) variational solution to the inverse…

Statistics Theory · Mathematics 2022-01-10 Birzhan Ayanbayev , Ilja Klebanov , Han Cheng Lie , T. J. Sullivan

Blind image deblurring, i.e., deblurring without knowledge of the blur kernel, is a highly ill-posed problem. The problem can be solved in two parts: i) estimate a blur kernel from the blurry image, and ii) given estimated blur kernel,…

Computer Vision and Pattern Recognition · Computer Science 2018-12-26 Yuanchao Bai , Gene Cheung , Xianming Liu , Wen Gao

The removal of blur from a signal, in the presence of noise, is readily accomplished if the blur can be described in precise mathematical terms. However, there is growing interest in problems where the extent of blur is known only…

Statistics Theory · Mathematics 2007-11-06 Peter Hall , Peihua Qiu

The method of alternation projections (MAP) is an iterative procedure for finding the projection of a point on the intersection of closed subspaces of an Hilbert space. The convergence of this method is usually slow, and several methods for…

Numerical Analysis · Mathematics 2013-02-04 Claude Brezinski , Michela Redivo-Zaglia

Blurring mean shift (BMS) algorithm, a variant of the mean shift algorithm, is a kernel-based iterative method for data clustering, where data points are clustered according to their convergent points via iterative blurring. In this paper,…

Machine Learning · Computer Science 2024-02-26 Ryoya Yamasaki , Toshiyuki Tanaka

Large Vision-Language Models (LVLMs) have achieved impressive performance in multimodal tasks, but they still suffer from hallucinations, i.e., generating content that is grammatically accurate but inconsistent with visual inputs. In this…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Chenxi Li , Yichen Guo , Benfang Qian , Jinhao You , Kai Tang , Yaosong Du , Zonghao Zhang , Xiande Huang

We survey classical kernel methods for providing nonparametric solutions to problems involving measurement error. In particular we outline kernel-based methodology in this setting, and discuss its basic properties. Then we point to close…

Methodology · Statistics 2010-03-02 Aurore Delaigle , Peter Hall

Energy minimization algorithms, such as graph cuts, enable the computation of the MAP solution under certain probabilistic models such as Markov random fields. However, for many computer vision problems, the MAP solution under the model is…

Computer Vision and Pattern Recognition · Computer Science 2013-07-31 Yongsub Lim , Kyomin Jung , Pushmeet Kohli

We derive near optimal performance guarantees for subsampled blind deconvolution. Blind deconvolution is an ill-posed bilinear inverse problem and additional subsampling makes the problem even more challenging. Sparsity and spectral…

Information Theory · Computer Science 2015-11-23 Kiryung Lee , Marius Junge

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

High-resolution ground-based solar imaging relies heavily on multi-object multi-frame blind deconvolution to correct for atmospheric turbulence. However, the traditional joint maximum likelihood estimation methods in which object and the…

Instrumentation and Methods for Astrophysics · Physics 2026-05-13 A. Asensio Ramos

Recent research showed that the dual-pixel sensor has made great progress in defocus map estimation and image defocus deblurring. However, extracting real-time dual-pixel views is troublesome and complex in algorithm deployment. Moreover,…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Jucai Zhai , Pengcheng Zeng , Chihao Ma , Yong Zhao , Jie Chen

Existing ultrasound deconvolution approaches unrealistically assume, primarily for computational reasons, that the convolution model relies on a spatially invariant kernel and circulant boundary conditions. We discard both restrictions and…

Signal Processing · Electrical Eng. & Systems 2021-09-21 Mihai I. Florea , Adrian Basarab , Denis Kouamé , Sergiy A. Vorobyov

The deep image prior showed that a randomly initialized network with a suitable architecture can be trained to solve inverse imaging problems by simply optimizing it's parameters to reconstruct a single degraded image. However, it suffers…

Image and Video Processing · Electrical Eng. & Systems 2022-01-03 Zenglin Shi , Pascal Mettes , Subhransu Maji , Cees G. M. Snoek

Ground-based solar image restoration is a computationally expensive procedure that involves nonlinear optimization techniques. The presence of atmospheric turbulence produces perturbations in individual images that make it necessary to…

Instrumentation and Methods for Astrophysics · Physics 2023-07-26 A. Asensio Ramos , S. Esteban Pozuelo , C. Kuckein

Recent advances in neural rendering have achieved impressive results on photorealistic shading and relighting, by using a multilayer perceptron (MLP) as a regression model to learn the rendering equation from a real-world dataset. Such…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Zhuo He , Yingdong Ru , Qianying Liu , Paul Henderson , Nicolas Pugeault

As an integral component of blind image deblurring, non-blind deconvolution removes image blur with a given blur kernel, which is essential but difficult due to the ill-posed nature of the inverse problem. The predominant approach is based…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 Dong Gong , Zhen Zhang , Qinfeng Shi , Anton van den Hengel , Chunhua Shen , Yanning Zhang