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Full waveform inversion (FWI) is a challenging, ill-posed nonlinear inverse problem that requires robust regularization techniques to stabilize the solution and yield geologically meaningful results, especially when dealing with sparse…

数值分析 · 数学 2025-05-02 Ali Gholami , Silvia Gazzola

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…

图像与视频处理 · 电气工程与系统科学 2025-05-15 Marco Corrias , Giada Franceschi , Michele Riva , Alberto Tampieri , Karin Föttinger , Ulrike Diebold , Thomas Pock , Cesare Franchini

Even after over two decades, the total variation (TV) remains one of the most popular regularizations for image processing problems and has sparked a tremendous amount of research, particularly to move from scalar to vector-valued…

计算机视觉与模式识别 · 计算机科学 2016-06-21 Joan Duran , Michael Moeller , Catalina Sbert , Daniel Cremers

The black hole in the center of the Galaxy, associated with the compact source Sagittarius A* (Sgr A*), is predicted to cast a shadow upon the emission of the surrounding plasma flow, which encodes the influence of general relativity in the…

The objectives of this chapter are: (i) to introduce a concise overview of regularization; (ii) to define and to explain the role of a particular type of regularization called total variation norm (TV-norm) in computer vision tasks; (iii)…

计算机视觉与模式识别 · 计算机科学 2016-04-01 Vania V. Estrela , Hermes Aguiar Magalhaes , Osamu Saotome

In remote sensing images, the presence of thick cloud accompanying cloud shadow is a high probability event, which can affect the quality of subsequent processing and limit the scenarios of application. Hence, removing the thick cloud and…

图像与视频处理 · 电气工程与系统科学 2021-09-21 Chenxi Duan , Jun Pan , Rui Li

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…

图像与视频处理 · 电气工程与系统科学 2022-02-23 Kaicong Sun , Sven Simon

Block-sparse signal recovery without knowledge of block sizes and boundaries, such as those encountered in multi-antenna mmWave channel models, is a hard problem for compressed sensing (CS) algorithms. We propose a novel Sparse Bayesian…

信号处理 · 电气工程与系统科学 2021-02-17 Aditya Sant , Markus Leinonen , Bhaskar D. Rao

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…

数值分析 · 数学 2025-12-05 Martin Burger , Ole Løseth Elvetun , Bjørn Fredrik Nielsen

Image super-resolution (SR) is one of the long-standing and active topics in image processing community. A large body of works for image super resolution formulate the problem with Bayesian modeling techniques and then obtain its…

计算机视觉与模式识别 · 计算机科学 2012-09-20 Haichao Zhang , David Wipf , Yanning Zhang

This work aims to reconstruct image sequences with Total Variation regularity in super-resolution. We consider, in particular, images of scenes for which the point-to-point image transformation is a plane projective transformation. We first…

计算机视觉与模式识别 · 计算机科学 2025-02-18 Mouhamad Chehaitly

We extend a recently introduced deep unrolling framework for learning spatially varying regularisation parameters in inverse imaging problems to the case of Total Generalised Variation (TGV). The framework combines a deep convolutional…

计算机视觉与模式识别 · 计算机科学 2025-03-07 Thanh Trung Vu , Andreas Kofler , Kostas Papafitsoros

Total Generalized Variation (TGV) has recently been proven certainly successful in image processing for preserving sharp features as well as smooth transition variations. However, none of the existing works aims at numerically calculating…

计算几何 · 计算机科学 2021-06-09 Zheng Liu , YanLei Li , Weina Wang , Ligang Liu , Renjie Chen

Hyperspectral images (HSIs) are often corrupted by a mixture of several types of noise during the acquisition process, e.g., Gaussian noise, impulse noise, dead lines, stripes, and many others. Such complex noise could degrade the quality…

计算机视觉与模式识别 · 计算机科学 2017-07-11 Yao Wang , Jiangjun Peng , Qian Zhao , Deyu Meng , Yee Leung , Xi-Le Zhao

In recent works, sparse models and convex optimization techniques have been applied to radio-interferometric (RI) imaging showing the potential to outperform state-of-the-art imaging algorithms in the field. In this talk, I will review our…

天体物理仪器与方法 · 物理学 2015-02-19 Rafael E. Carrillo , Jason D. McEwen , Yves Wiaux

Full Waveform Inversion (FWI) is a powerful wave-based imaging technique, but its inherent ill-posedness and non-convexity lead to local minima and poor convergence. Regularization methods stabilize FWI by incorporating prior information…

地球物理 · 物理学 2025-10-28 Kamal Aghazade , Ali Gholami

This paper proposes a spatiotemporal (ST) fusion framework robust against diverse noise for satellite images, named Temporally-Similar Structure-Aware ST fusion (TSSTF). ST fusion is a promising approach to address the trade-off between the…

信号处理 · 电气工程与系统科学 2026-01-30 Ryosuke Isono , Shunsuke Ono

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…

计算机视觉与模式识别 · 计算机科学 2020-05-11 Haijin Zeng , Xiaozhen Xie , Jifeng Ning

In this paper, we propose a novel variational model for decomposing images into their respective cartoon and texture parts. Our model characterizes certain non-local features of any Bounded Variation (BV) image by its Total Symmetric…

计算机视觉与模式识别 · 计算机科学 2025-03-31 Roy Y. He , Martin Huska , Hao Liu

Block sparsity is a widely exploited structure in sparse recovery, offering significant gains when signal blocks are known. Yet, practical signals often exhibit unknown block boundaries and isolated non-zero entries, which challenge…

信号处理 · 电气工程与系统科学 2026-02-05 Yanbin He , Geethu Joseph