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Mining structural priors in data is a widely recognized technique for hyperspectral image (HSI) denoising tasks, whose typical ways include model-based methods and data-based methods. The model-based methods have good generalization…

Computer Vision and Pattern Recognition · Computer Science 2023-02-08 Jiangjun Peng , Hailin Wang , Xiangyong Cao , Xinlin Liu , Xiangyu Rui , Deyu Meng

Recent work in CT imaging has seen increased interest in the use of total variation (TV) and related penalties to regularize problems involving reconstruction from undersampled or incomplete data. Superiorization is a recently proposed…

Medical Physics · Physics 2017-10-02 T. Humphries , J. Winn , A. Faridani

Deep learning based methods hold state-of-the-art results in image denoising, but remain difficult to interpret due to their construction from poorly understood building blocks such as batch-normalization, residual learning, and feature…

Image and Video Processing · Electrical Eng. & Systems 2021-03-09 Nikola Janjušević , Amirhossein Khalilian-Gourtani , Yao Wang

Automatic lymph node (LN) segmentation and detection for cancer staging are critical. In clinical practice, computed tomography (CT) and positron emission tomography (PET) imaging detect abnormal LNs. Despite its low contrast and variety in…

Image and Video Processing · Electrical Eng. & Systems 2022-12-23 Al-Akhir Nayan , Boonserm Kijsirikul , Yuji Iwahori

We have developed a new model of the Doppler tomography using total variation minimization (DTTVM). This method can reconstruct localized and non-axisymmetric profiles having sharp edges in the Doppler map. This characteristic is emphasized…

Solar and Stellar Astrophysics · Physics 2015-06-23 Makoto Uemura , Taichi Kato , Daisaku Nogami , Ronald Mennickent

Recently, test-time adaptation has garnered attention as a method for tuning models without labeled data. The conventional modus operandi for adapting pre-trained vision-language models (VLMs) during test-time primarily focuses on tuning…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Raza Imam , Asif Hanif , Jian Zhang , Khaled Waleed Dawoud , Yova Kementchedjhieva , Mohammad Yaqub

Nuclear Magnetic Resonance (NMR) spectroscopy is a widely-used technique in the fields of bio-medicine, chemistry, and biology for the analysis of chemicals and proteins. The signals from NMR spectroscopy often have low signal-to-noise…

Signal Processing · Electrical Eng. & Systems 2024-05-21 Zihao Zou , Shirin Shoushtari , Jiaming Liu , Jialiang Zhang , Patrick Judge , Emilia Santana , Alison Lim , Marcus Foston , Ulugbek S. Kamilov

The low rank tensor completion (LRTC) problem has attracted great attention in computer vision and signal processing. How to acquire high quality image recovery effect is still an urgent task to be solved at present. This paper proposes a…

Numerical Analysis · Mathematics 2022-07-12 Hongbing Zhang , Xinyi Liu , Hongtao Fan , Yajing Li , Yinlin Ye

Low-dose CT (LDCT) reduces radiation exposure but introduces protocol-dependent noise and artifacts that vary across institutions. While federated learning enables collaborative training without centralizing patient data, existing methods…

Image and Video Processing · Electrical Eng. & Systems 2026-03-17 Anas Zafar , Muhammad Waqas , Amgad Muneer , Rukhmini Bandyopadhyay , Jia Wu

We consider the image denoising problem using total variation (TV) regularization. This problem can be computationally challenging to solve due to the non-differentiability and non-linearity of the regularization term. We propose an…

Optimization and Control · Mathematics 2014-08-26 Zhiwei Qin , Donald Goldfarb , Shiqian Ma

We define the space of functions of bounded variation ($BV$) on the graph. Using the notion of divergence of flows on graphs, we show that the unit ball of the dual space to $BV$ in the graph setting can be described as the image of the…

Optimization and Control · Mathematics 2019-11-27 Japhet Niyobuhungiro , Eric Setterqvist , Freddie Åström , George Baravdish

Affine rank minimization problem is the generalized version of low rank matrix completion problem where linear combinations of the entries of a low rank matrix are observed and the matrix is estimated from these measurements. We propose a…

Machine Learning · Computer Science 2021-05-17 Siva Shanmugam , Sheetal Kalyani

This paper introduces a novel variational approach for image compression motivated by recent PDE-based approaches combining edge detection and Laplacian inpainting. The essential feature is to encode the image via a sparse vector field,…

Optimization and Control · Mathematics 2015-03-09 Eva-Maria Brinkmann , Martin Burger , Joana Grah

The $\ell^1$ and total variation (TV) penalties have been used successfully in many areas, and the combination of the $\ell^1$ and TV penalties can lead to further improved performance. In this work, we investigate the mathematical theory…

Numerical Analysis · Mathematics 2024-12-05 Xinling Liu , Jianjun Wang , Bangti Jin

Non-linear spectral decompositions of images based on one-homogeneous functionals such as total variation have gained considerable attention in the last few years. Due to their ability to extract spectral components corresponding to objects…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Tamara G. Grossmann , Yury Korolev , Guy Gilboa , Carola-Bibiane Schönlieb

Computed tomography is widely used as an imaging tool to visualize three-dimensional structures with expressive bone-soft tissue contrast. However, CT resolution and radiation dose are tightly entangled, highlighting the importance of…

In this paper we present a new regularization term for variational image restoration which can be regarded as a space-variant anisotropic extension of the classical isotropic Total Variation (TV) regularizer. The proposed regularizer comes…

Image and Video Processing · Electrical Eng. & Systems 2019-08-05 Luca Calatroni , Alessandro Lanza , Monica Pragliola , Fiorella Sgallari

Low-dose CT (LDCT) imaging attracted a considerable interest for the reduction of the object's exposure to X-ray radiation. In recent years, supervised deep learning (DL) has been extensively studied for LDCT image reconstruction, which…

Image and Video Processing · Electrical Eng. & Systems 2022-10-06 Qiaoqiao Ding , Hui Ji , Yuhui Quan , Xiaoqun Zhang

Capturing high dynamic range (HDR) images (videos) is attractive because it can reveal the details in both dark and bright regions. Since the mainstream screens only support low dynamic range (LDR) content, tone mapping algorithm is…

Computer Vision and Pattern Recognition · Computer Science 2023-06-27 Cong Cao , Huanjing Yue , Xin Liu , Jingyu Yang

Recently, tensor fibered rank has demonstrated impressive performance by effectively leveraging the global low-rank property in all directions for low-rank tensor completion (LRTC). However, it still has some limitations. Firstly, the…

Numerical Analysis · Mathematics 2025-04-01 Ziming Chen , Xiaoqing Zhang