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Related papers: Threshold Selection for Total Variation Denoising

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We propose two new variational models aimed to outperform the popular total variation (TV) model for image restoration with L$_2$ and L$_1$ fidelity terms. In particular, we introduce a space-variant generalization of the TV regularizer,…

Image and Video Processing · Electrical Eng. & Systems 2019-06-28 Alessandro Lanza , Serena Morigi , Monica Pragliola , Fiorella Sgallari

Because noise can interfere with downstream analysis, image denoising has come to occupy an important place in the image processing toolbox. The most accurate state-of-the-art denoisers typically train on a representative dataset. But…

Computer Vision and Pattern Recognition · Computer Science 2022-12-06 Jason Lequyer , Wen-Hsin Hsu , Reuben Philip , Anna Christina Erpf , Laurence Pelletier

Numerous total variation (TV) regularizers, engaged in image restoration problem, encode the gradients by means of simple $[-1,1]$ FIR filter. Despite its low computational processing, this filter severely deviates signal's high frequency…

Optimization and Control · Mathematics 2015-06-17 Mahdi S. Hosseini , Konstantinos N. Plataniotis

We consider inverse problems with large null spaces, which arise in important applications such as in inverse ECG and EEG procedures. Standard regularization methods typically produce solutions in or near the orthogonal complement of the…

Numerical Analysis · Mathematics 2025-12-05 Martin Burger , Ole Løseth Elvetun , Bjørn Fredrik Nielsen

Diffusion models have recently achieved great success in the synthesis of high-quality images and videos. However, the existing denoising techniques in diffusion models are commonly based on step-by-step noise predictions, which suffers…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Hancheng Ye , Jiakang Yuan , Renqiu Xia , Xiangchao Yan , Tao Chen , Junchi Yan , Botian Shi , Bo Zhang

Medical image denoising is considered among the most challenging vision tasks. Despite the real-world implications, existing denoising methods have notable drawbacks as they often generate visual artifacts when applied to heterogeneous…

Image and Video Processing · Electrical Eng. & Systems 2025-03-11 S M A Sharif , Rizwan Ali Naqvi , Woong-Kee Loh

Blind image denoising is an important yet very challenging problem in computer vision due to the complicated acquisition process of real images. In this work we propose a new variational inference method, which integrates both noise…

Computer Vision and Pattern Recognition · Computer Science 2023-09-04 Zongsheng Yue , Hongwei Yong , Qian Zhao , Lei Zhang , Deyu Meng

The core challenge of hyperspectral image denoising is striking the right balance between data fidelity and noise prior modeling. Most existing methods place too much emphasis on the intrinsic priors of the image while overlooking diverse…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Xuelin Xie , Xiliang Lu , Zhengshan Wang , Yang Zhang , Long Chen

Image denoising is probably the oldest and still one of the most active research topic in image processing. Many methodological concepts have been introduced in the past decades and have improved performances significantly in recent years,…

Computer Vision and Pattern Recognition · Computer Science 2024-02-26 Sébastien Herbreteau , Charles Kervrann

Removing stripe noise, i.e., destriping, from remote sensing images is an essential task in terms of visual quality and subsequent processing. Most existing destriping methods are designed by combining a particular image regularization with…

Image and Video Processing · Electrical Eng. & Systems 2022-05-04 Kazuki Naganuma , Shunsuke Ono

In this paper, we consider the use of Total Variation (TV) minimization for compressive imaging; that is, image reconstruction from subsampled measurements. Focusing on two important imaging modalities -- namely, Fourier imaging and…

Information Theory · Computer Science 2020-09-21 Ben Adcock , Nick Dexter , Qinghong Xu

Recently, there has been extensive research interest in training deep networks to denoise images without clean reference. However, the representative approaches such as Noise2Noise, Noise2Void, Stein's unbiased risk estimator (SURE), etc.…

Image and Video Processing · Electrical Eng. & Systems 2021-10-28 Kwanyoung Kim , Jong Chul Ye

Video anomaly detection (VAD) is an important computer vision problem. Thanks to the mode coverage capabilities of generative models, the likelihood-based paradigm is catching growing interest, as it can model normal distribution and detect…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Hanwen Zhang , Congqi Cao , Qinyi Lv , Lingtong Min , Yanning Zhang

Compressed sensing (CS) methods in magnetic resonance imaging (MRI) offer rapid acquisition and improved image quality but require iterative reconstruction schemes with regularization to enforce sparsity. Regardless of the difficulty in…

Computer Vision and Pattern Recognition · Computer Science 2018-09-19 Raji Susan Mathew , Joseph Suresh Paul

The problem of image blurring is one of the most studied topics in the field of image processing. Image blurring is caused by various factors such as hand or camera shake. To restore the blurred image, it is necessary to know information…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 M. Zarebnia , R. Parvaz

We consider 3-point numerical schemes for scalar Conservation Laws, that are oscillatory either to their dispersive or anti-diffusive nature. Oscillations are responsible for the increase of the Total Variation (TV); a bound on which is…

Numerical Analysis · Mathematics 2009-09-01 Nikolaos Sfakianakis

We propose an efficient estimation technique for the automatic selection of locally-adaptive Total Variation regularisation parameters based on an hybrid strategy which combines a local maximum-likelihood approach estimating space-variant…

Optimization and Control · Mathematics 2020-05-20 Luca Calatroni , Alessandro Lanza , Monica Pragliola , Fiorella Sgallari

Denoising is a fundamental imaging problem. Versatile but fast filtering has been demanded for mobile camera systems. We present an approach to multiscale filtering which allows real-time applications on low-powered devices. The key idea is…

Computer Vision and Pattern Recognition · Computer Science 2018-02-20 Sungjoon Choi , John Isidoro , Pascal Getreuer , Peyman Milanfar

Deep neural network based methods are the state of the art in various image restoration problems. Standard supervised learning frameworks require a set of noisy measurement and clean image pairs for which a distance between the output of…

Image and Video Processing · Electrical Eng. & Systems 2021-03-31 Rihuan Ke , Carola-Bibiane Schönlieb

Total variation regularization and total variation flows (TVF) have been widely applied for image enhancement and denoising. To include a generic preservation of crossing curvilinear structures in TVF we lift images to the homogeneous space…

Analysis of PDEs · Mathematics 2019-07-02 Remco Duits , Etienne St-Onge , Jim Portegies , Bart Smets