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We present a new inner-outer iterative algorithm for edge enhancement in imaging problems. At each outer iteration, we formulate a Tikhonov-regularized problem where the penalization is expressed in the 2-norm and involves a regularization…

Numerical Analysis · Mathematics 2020-12-30 Silvia Gazzola , Misha E. Kilmer , James G. Nagy , Oguz Semerici , Eric L. Miller

With the inexorable digitalisation of the modern world, every subset in the field of technology goes through major advancements constantly. One such subset is digital images which are ever so popular. Images can not always be as visually…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Prashanth Venkataraman

This paper concerns with nonuniform sampling and interpolation methods combined with variational models for the solution of a generalized image inpainting problem and the restoration of digital signals. In particular, we discuss the problem…

Numerical Analysis · Mathematics 2007-05-23 Massimo Fornasier

Defocus blur is one kind of blur effects often seen in images, which is challenging to remove due to its spatially variant amount. This paper presents an end-to-end deep learning approach for removing defocus blur from a single image, so as…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 Yuhui Quan , Zicong Wu , Hui Ji

Macro lens has the advantages of high resolution and large magnification, and 3D modeling of small and detailed objects can provide richer information. However, defocus blur in macrophotography is a long-standing problem that heavily…

Computer Vision and Pattern Recognition · Computer Science 2025-10-03 Yifan Zhao , Liangchen Li , Yuqi Zhou , Kai Wang , Yan Liang , Juyong Zhang

Image restoration refers to the process of reconstructing noisy, destroyed, or missing parts of an image, which is an ill-posed inverse problem. A specific regularization term and image degradation are typically assumed to achieve…

Image and Video Processing · Electrical Eng. & Systems 2025-04-15 Jianwei Ke

This paper focuses on solving the multiplicative gamma denoising problem via a variation model. Variation-based regularization models have been extensively employed in a variety of inverse problem tasks in image processing. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Shengkun Yang , Zhichang Guo , Jia Li , Fanghui Song , Wenjuan Yao

The aim of image restoration is to recover high-quality images from distorted ones. However, current methods usually focus on a single task (\emph{e.g.}, denoising, deblurring or super-resolution) which cannot address the needs of…

Computer Vision and Pattern Recognition · Computer Science 2023-08-08 Cheng Zhang , Yu Zhu , Qingsen Yan , Jinqiu Sun , Yanning Zhang

Variational regularization models are one of the popular and efficient approaches for image restoration. The regularization functional in the model carries prior knowledge about the image to be restored. The prior knowledge, in particular…

Optimization and Control · Mathematics 2021-02-09 Yan-ran Li , Raymond H. F. Chan , Lixin Shen , Xiaosheng Zhuang

In various learning-based image restoration tasks, such as image denoising and image super-resolution, the degradation representations were widely used to model the degradation process and handle complicated degradation patterns. However,…

Computer Vision and Pattern Recognition · Computer Science 2022-08-15 Dasong Li , Yi Zhang , Ka Chun Cheung , Xiaogang Wang , Hongwei Qin , Hongsheng Li

This paper attempts to undertake the study of Restored Gaussian Blurred Images. by using four types of techniques of deblurring image as Wiener filter, Regularized filter, Lucy Richardson deconvlutin algorithm and Blind deconvlution…

Computer Vision and Pattern Recognition · Computer Science 2010-04-27 Salem Saleh Al-amri , N. V. Kalyankar , Khamitkar S. D

We propose a regularization-based deblurring method that works efficiently for galaxy images. The spatial resolution of a ground-based telescope is generally limited by seeing conditions and much worse than space-based telescopes. This…

Instrumentation and Methods for Astrophysics · Physics 2022-09-21 Kazumi Murata , Tsutomu T. Takeuchi

In this paper, we consider the problem in defocus image deblurring. Previous classical methods follow two-steps approaches, i.e., first defocus map estimation and then the non-blind deblurring. In the era of deep learning, some researchers…

Computer Vision and Pattern Recognition · Computer Science 2022-07-08 Qian Ye , Masanori Suganuma , Takayuki Okatani

For the success of video deblurring, it is essential to utilize information from neighboring frames. Most state-of-the-art video deblurring methods adopt motion compensation between video frames to aggregate information from multiple frames…

Computer Vision and Pattern Recognition · Computer Science 2021-08-27 Hyeongseok Son , Junyong Lee , Jonghyeop Lee , Sunghyun Cho , Seungyong Lee

Ultrasound image reconstruction can be approximately cast as a linear inverse problem that has traditionally been solved with penalized optimization using the $l_1$ or $l_2$ norm, or wavelet-based terms. However, such regularization…

Computer Vision and Pattern Recognition · Computer Science 2023-08-01 Yuxin Zhang , Clément Huneau , Jérôme Idier , Diana Mateus

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

Blind image deblurring is a fundamental and challenging computer vision problem, which aims to recover both the blur kernel and the latent sharp image from only a blurry observation. Despite the superiority of deep learning methods in image…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Pei Wang , Wei Sun , Qingsen Yan , Axi Niu , Rui Li , Yu Zhu , Jinqiu Sun , Yanning Zhang

Intrinsic imaging or intrinsic image decomposition has traditionally been described as the problem of decomposing an image into two layers: a reflectance, the albedo invariant color of the material; and a shading, produced by the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-08 Elena Garces , Carlos Rodriguez-Pardo , Dan Casas , Jorge Lopez-Moreno

Thresholding iterative methods are recently successfully applied to image deblurring problems. In this paper, we investigate the modified linearized Bregman algorithm (MLBA) used in image deblurring problems, with a proper treatment of the…

Numerical Analysis · Mathematics 2020-09-07 Yuantao Cai , Marco Donatelli , Davide Bianchi , Ting-Zhu Huang

We present a novel, blind, single image deblurring method that utilizes information regarding blur kernels. Our model solves the deblurring problem by dividing it into two successive tasks: (1) blur kernel estimation and (2) sharp image…

Computer Vision and Pattern Recognition · Computer Science 2020-12-16 Sungkwon An , Hyungmin Roh , Myungjoo Kang
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