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The total variation (TV) method is an image denoising technique that aims to reduce noise by minimizing the total variation of the image, which measures the variation in pixel intensities. The TV method has been widely applied in image…

Computer Vision and Pattern Recognition · Computer Science 2024-10-04 Jing-En Huang , Jia-Wei Liao , Ku-Te Lin , Yu-Ju Tsai , Mei-Heng Yueh

In this paper, we propose a regularization technique for noisy-image super-resolution and image denoising. Total variation (TV) regularization is adopted in many image processing applications to preserve the local smoothness. However, TV…

Image and Video Processing · Electrical Eng. & Systems 2022-02-23 Kaicong Sun , Sven Simon

Spatial-Spectral Total Variation (SSTV) can quantify local smoothness of image structures, so it is widely used in hyperspectral image (HSI) processing tasks. Essentially, SSTV assumes a sparse structure of gradient maps calculated along…

Computer Vision and Pattern Recognition · Computer Science 2022-04-28 Haijin Zeng , Shaoguang Huang , Yongyong Chen , Hiep Luong , Wilfried Philips

This paper proposes a novel regularization method, named Spatio-Spectral Structure Tensor Total Variation (S3TTV), for denoising and destriping of hyperspectral (HS) images. HS images are inevitably contaminated by various types of noise,…

Signal Processing · Electrical Eng. & Systems 2025-07-08 Shingo Takemoto , Kazuki Naganuma , Shunsuke Ono

While Total Variation (TV) excels in noise reduction and edge preservation, its reliance on a scalar regularization parameter limits adaptivity. In this study, we present a Learnable Total Variation (LTV) framework coupling an unrolled TV…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Yusuf Talha Basak , Mehmet Ozan Unal , Metin Ertas , Isa Yildirim

Hyperspectral image (HSI) denoising aims to restore clean HSI from the noise-contaminated one. Noise contamination can often be caused during data acquisition and conversion. In this paper, we propose a novel spatial-spectral total…

Image and Video Processing · Electrical Eng. & Systems 2021-04-07 Haijin Zeng , Xiaozhen Xie , Jifeng Ning

The efficiency of the Non-Local means (NLM) image denoising algorithm relies on the identification of similar original pixels from noisy similar patches. Hence fine details and low-contrasted structures are badly recovered after the…

Functional Analysis · Mathematics 2013-11-18 Simon Postec , Jacques Froment , Béatrice Vedel

In this paper, a novel weighted nonlocal total variation (WNTV) method is proposed. Compared to the classical nonlocal total variation methods, our method modifies the energy functional to introduce a weight to balance between the labeled…

Computer Vision and Pattern Recognition · Computer Science 2018-02-01 Haohan Li , Zuoqiang Shi , Xiaoping Wang

Non-Local Total Variation (NLTV) has emerged as a useful tool in variational methods for image recovery problems. In this paper, we extend the NLTV-based regularization to multicomponent images by taking advantage of the Structure Tensor…

Computer Vision and Pattern Recognition · Computer Science 2014-12-11 Giovanni Chierchia , Nelly Pustelnik , Beatrice Pesquet-Popescu , Jean-Christophe Pesquet

Experimentally acquired microscopy images are unavoidably affected by the presence of noise and other unwanted signals, which degrade their quality and might hide relevant features. With the recent increase in image acquisition rate, modern…

Image and Video Processing · Electrical Eng. & Systems 2025-05-15 Marco Corrias , Giada Franceschi , Michele Riva , Alberto Tampieri , Karin Föttinger , Ulrike Diebold , Thomas Pock , Cesare Franchini

Several bandwise total variation (TV) regularized low-rank (LR)-based models have been proposed to remove mixed noise in hyperspectral images (HSIs). Conventionally, the rank of LR matrix is approximated using nuclear norm (NN). The NN is…

Computer Vision and Pattern Recognition · Computer Science 2020-05-11 Haijin Zeng , Xiaozhen Xie , Jifeng Ning

We introduce a paradigm for nonlocal sparsity reinforced deep convolutional neural network denoising. It is a combination of a local multiscale denoising by a convolutional neural network (CNN) based denoiser and a nonlocal denoising based…

Image and Video Processing · Electrical Eng. & Systems 2018-08-15 Cristóvão Cruz , Alessandro Foi , Vladimir Katkovnik , Karen Egiazarian

The spatio-spectral total variation (SSTV) model has been widely used as an effective regularization of hyperspectral images (HSI) for various applications such as mixed noise removal. However, since SSTV computes local spatial differences…

Image and Video Processing · Electrical Eng. & Systems 2022-10-05 Shingo Takemoto , Kazuki Naganuma , Shunsuke Ono

In this paper, two local activity-tuned filtering frameworks are proposed for noise removal and image smoothing, where the local activity measurement is given by the clipped and normalized local variance or standard deviation. The first…

Computer Vision and Pattern Recognition · Computer Science 2017-11-21 Lijun Zhao , Jie Liang , Huihui Bai , Lili Meng , Anhong Wang , Yao Zhao

Sparsity exploiting image reconstruction (SER) methods have been extensively used with Total Variation (TV) regularization for tomographic reconstructions. Local TV methods fail to preserve texture details and often create additional…

Computer Vision and Pattern Recognition · Computer Science 2018-03-15 Faisal Mahmood , Nauman Shahid , Ulf Skoglund , Pierre Vandergheynst

For image denoising problems, the structure tensor total variation (STV)-based models show good performances when compared with other competing regularization approaches. However, the STV regularizer does not couple the local information of…

Optimization and Control · Mathematics 2024-04-05 Xiuhan Sheng , Lijuan Yang , Jingya Chang

The Non-Local Means (NLM) image denoising algorithm pushed the limits of denoising. But it introduced a new paradigm, according to which one could capture the similarity of images with the NLM weights. We show that, contrary to the…

Statistics Theory · Mathematics 2013-11-18 Simon Postec , Jacques Froment , Béatrice Vedel

In this paper we demonstrate that the framework of nonlinear spectral decompositions based on total variation (TV) regularization is very well suited for image fusion as well as more general image manipulation tasks. The well-localized and…

Computer Vision and Pattern Recognition · Computer Science 2017-03-24 Martin Benning , Michael Möller , Raz Z. Nossek , Martin Burger , Daniel Cremers , Guy Gilboa , Carola-Bibiane Schönlieb

In this paper, we propose a variational approach for video denoising, based on a total directional variation (TDV) regulariser proposed in Parisotto et al. (2018), for image denoising and interpolation. In the TDV regulariser, the…

Numerical Analysis · Mathematics 2019-04-01 Simone Parisotto , Carola-Bibiane Schönlieb

In this paper, a graph-based nonlocal total variation method (NLTV) is proposed for unsupervised classification of hyperspectral images (HSI). The variational problem is solved by the primal-dual hybrid gradient (PDHG) algorithm. By…

Computer Vision and Pattern Recognition · Computer Science 2017-04-26 Wei Zhu , Victoria Chayes , Alexandre Tiard , Stephanie Sanchez , Devin Dahlberg , Andrea L. Bertozzi , Stanley Osher , Dominique Zosso , Da Kuang
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