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We introduce a class of higher-order anisotropic total variation regularisers, which are defined for possibly inhomogeneous, smooth elliptic anisotropies, that extends the Total Generalized Variation (TGV) regulariser and its variants. We…

Numerical Analysis · Mathematics 2020-07-10 Simone Parisotto , Jan Lellmann , Simon Masnou , Carola-Bibiane Schönlieb

Multiplicative noise (also known as speckle noise) models are central to the study of coherent imaging systems, such as synthetic aperture radar and sonar, and ultrasound and laser imaging. These models introduce two additional layers of…

Optimization and Control · Mathematics 2015-05-14 José M. Bioucas-Dias , Mário A. T. Figueiredo

Convolutional neural networks have been widely applied to hyperspectral image classification. However, traditional convolutions can not effectively extract features for objects with irregular distributions. Recent methods attempt to address…

Computer Vision and Pattern Recognition · Computer Science 2023-04-07 Di Wang , Bo Du , Liangpei Zhang

Hyperspectral image (HSI) clustering groups pixels into clusters without labeled data, which is an important yet challenging task. For large-scale HSIs, most methods rely on superpixel segmentation and perform superpixel-level clustering…

Computer Vision and Pattern Recognition · Computer Science 2025-11-21 Jianhan Qi , Yuheng Jia , Hui Liu , Junhui Hou

In a class of piecewise-constant image segmentation models, we propose to incorporate a weighted difference of anisotropic and isotropic total variation (AITV) to regularize the partition boundaries in an image. In particular, we replace…

Computer Vision and Pattern Recognition · Computer Science 2021-07-20 Kevin Bui , Fredrick Park , Yifei Lou , Jack Xin

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

We propose a new type of regularization functional for images called oscillation total generalized variation (TGV) which can represent structured textures with oscillatory character in a specified direction and scale. The infimal…

Numerical Analysis · Mathematics 2018-09-17 Yiming Gao , Kristian Bredies

We propose a set of iterative regularization algorithms for the TV-Stokes model to restore images from noisy images with Gaussian noise. These are some extensions of the iterative regularization algorithm proposed for the classical…

Numerical Analysis · Mathematics 2020-09-28 Bin Wu , Leszek Marcinkowski , Xue-Cheng Tai , Talal Rahman

Hyperspectral (HS) images contain detailed spectral information that has proven crucial in applications like remote sensing, surveillance, and astronomy. However, because of hardware limitations of HS cameras, the captured images have low…

Image and Video Processing · Electrical Eng. & Systems 2021-06-15 Marija Vella , Bowen Zhang , Wei Chen , João F. C. Mota

Hyperspectral image (HSI) classification has been a hot topic for decides, as hyperspectral images have rich spatial and spectral information and provide strong basis for distinguishing different land-cover objects. Benefiting from the…

Computer Vision and Pattern Recognition · Computer Science 2023-04-07 Xizhe Xue , Haokui Zhang , Bei Fang , Zongwen Bai , Ying Li

Modeling hyperspectral imagery (HSI) across different sensors presents a fundamental challenge due to variations in wavelength coverage, band sampling, and channel dimensionality. As a result, models trained under a fixed spectral…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Haozhe Si , Yuxuan Wan , Yuqing Wang , Minh Do , Han Zhao

Self-supervised video denoising aims to remove noise from videos without relying on ground truth data, leveraging the video itself to recover clean frames. Existing methods often rely on simplistic feature stacking or apply optical flow…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Zikang Chen , Tao Jiang , Xiaowan Hu , Wang Zhang , Huaqiu Li , Haoqian Wang

Existing denoising methods typically restore clear results by aggregating pixels from the noisy input. Instead of relying on hand-crafted aggregation schemes, we propose to explicitly learn this process with deep neural networks. We present…

Computer Vision and Pattern Recognition · Computer Science 2021-02-03 Xiangyu Xu , Muchen Li , Wenxiu Sun , Ming-Hsuan Yang

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

Purpose: Task-based assessment of image quality in undersampled magnetic resonance imaging provides a way of evaluating the impact of regularization on task performance. In this work, we evaluated the effect of total variation (TV) and…

Medical Physics · Physics 2023-03-13 Alexandra G. O'Neill , Emely L. Valdez , Sajan Goud Lingala , Angel R. Pineda

We propose a new superresolution imaging technique for interferometry using sparse modeling, utilizing two regularization terms: the $\ell_1$-norm and a new function named Total Squared Variation (TSV) of the brightness distribution. TSV is…

Instrumentation and Methods for Astrophysics · Physics 2018-06-06 Kazuki Kuramochi , Kazunori Akiyama , Shiro Ikeda , Fumie Tazaki , Vincent L. Fish , Hung-Yi Pu , Keiichi Asada , Mareki Honma

Transformers have achieved the state-of-the-art performance on solving the inverse problem of Snapshot Compressive Imaging (SCI) for video, whose ill-posedness is rooted in the mixed degradation of spatial masking and temporal aliasing.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-18 Ping Wang , Yulun Zhang , Lishun Wang , Xin Yuan

This paper addresses the problem of image denoising for grayscale images. We propose a probabilistic image generative model that combines a quadtree region-partitioning model with a mixture autoregressive model, and propose a framework that…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Shota Saito , Yuta Nakahara , Kohei Horinouchi , Naoki Ichijo , Manabu Kobayashi , Toshiyasu Matsushima

High-resolution hyperspectral imaging plays a crucial role in various remote sensing applications, yet its acquisition often faces fundamental limitations due to hardware constraints. This paper introduces S$^{3}$RNet, a novel framework for…

Computer Vision and Pattern Recognition · Computer Science 2025-01-15 Chia-Ming Lee , Yu-Fan Lin , Li-Wei Kang , Chih-Chung Hsu

Improving the quality of positron emission tomography (PET) images, affected by low resolution and high level of noise, is a challenging task in nuclear medicine and radiotherapy. This work proposes a restoration method, achieved after…

Computer Vision and Pattern Recognition · Computer Science 2015-06-17 Stéphanie Guérit , Laurent Jacques , Benoît Macq , John A. Lee