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Total variation (TV) is a widely used function for regularizing imaging inverse problems that is particularly appropriate for images whose underlying structure is piecewise constant. TV regularized optimization problems are typically solved…

图像与视频处理 · 电气工程与系统科学 2025-08-26 Edward P. Chandler , Shirin Shoushtari , Brendt Wohlberg , Ulugbek S. Kamilov

We consider the problem of surface segmentation, where the goal is to partition a surface represented by a triangular mesh. The segmentation is based on the similarity of the normal vector field to a given set of label vectors. We propose a…

计算机视觉与模式识别 · 计算机科学 2026-02-25 Manuel Weiß , Lukas Baumgärtner , Laura Weigl , Ronny Bergmann , Stephan Schmidt , Roland Herzog

Non-overlapping patch-wise convolution is the default image tokenizer for all state-of-the-art vision Transformer (ViT) models. Even though many ViT variants have been proposed to improve its efficiency and accuracy, little research on…

计算机视觉与模式识别 · 计算机科学 2024-05-30 Zhenhai Zhu , Radu Soricut

This paper considers the constrained total variation (TV) denoising problem for complex-valued images. We extend the definition of TV seminorms for real-valued images to dealing with complex-valued ones. In particular, we introduce two…

图像与视频处理 · 电气工程与系统科学 2021-09-14 Yunhui Gao , Liangcai Cao

Image enhancement is a technique that frequently utilized in digital image processing. In recent years, the popularity of learning-based techniques for enhancing the aesthetic performance of photographs has increased. However, the majority…

计算机视觉与模式识别 · 计算机科学 2022-12-20 Zinuo Li , Xuhang Chen , Chi-Man Pun , Shuqiang Wang

Wavelet domain inpainting refers to the process of recovering the missing coefficients during the image compression or transmission stage. Recently, an efficient algorithm framework which is called Bregmanized operator splitting (BOS) was…

计算机视觉与模式识别 · 计算机科学 2013-05-15 Dai-Qiang Chen , Li-Zhi Cheng

In recent years, large visual language models (LVLMs) have shown impressive performance and promising generalization capability in multi-modal tasks, thus replacing humans as receivers of visual information in various application scenarios.…

计算机视觉与模式识别 · 计算机科学 2024-07-25 Binzhe Li , Shurun Wang , Shiqi Wang , Yan Ye

In this paper, we propose Total Variation Regularized Tensor-on-scalar Regression(TVTR), a novel method for estimating the association between a tensor outcome (a one dimensional or multidimensional array) and scalar predictors. While the…

统计方法学 · 统计学 2018-12-11 Ying Liu , Bowei Yan , Kathleen Merikangas , Haochang Shou

We present Channel-wise Vector Quantization (CVQ), a novel image tokenization paradigm that replaces patch-wise tokens with channel-wise tokens. Unlike conventional vector quantization, which assigns a discrete token to each patch feature…

计算机视觉与模式识别 · 计算机科学 2026-05-26 Wei Song , Tianhang Wang , Yitong Chen , Tong Zhang , Zuxuan Wu , Ming Li , Jiaqi Wang , Kaicheng Yu

In this paper, we are interested in the application to video segmentation of the discrete shape optimization problem involving the shape weighted perimeter and an additional term depending on a parameter. Based on recent works and in…

计算机视觉与模式识别 · 计算机科学 2007-05-23 Florent Ranchin , Antonin Chambolle , Françoise Dibos

This paper focuses on the development of a space-variant regularization model for solving an under-determined linear inverse problem. The case study is a medical image reconstruction from few-view tomographic noisy data. The primary…

图像与视频处理 · 电气工程与系统科学 2024-04-29 Elena Morotti , Davide Evangelista , Andrea Sebastiani , Elena Loli Piccolomini

Bayesian image restoration has had a long history of successful application but one of the limitations that has prevented more widespread use is that the methods are generally computationally intensive. The authors recently addressed this…

统计方法学 · 统计学 2023-06-02 Karl Young , John Kornak , Eric Friedman

The total variation method is widely used in image noise suppression. However, this method is easy to cause the loss of image details, and it is also sensitive to parameters such as iteration time. In this work, the total variation method…

图像与视频处理 · 电气工程与系统科学 2020-03-19 Shuo Huang , Suiren Wan

In content-based video retrieval (CBVR), dealing with large-scale collections, efficiency is as important as accuracy; thus, several video-level feature-based studies have actively been conducted. Nevertheless, owing to the severe…

计算机视觉与模式识别 · 计算机科学 2023-12-20 Won Jo , Geuntaek Lim , Gwangjin Lee , Hyunwoo Kim , Byungsoo Ko , Yukyung Choi

A class of mixed-order \emph{PDE}-constraint regularizer for image processing problem is proposed, generalizing the standard first order total variation $(TV)$. A semi-supervised (bilevel) training scheme, which provides a simultaneous…

偏微分方程分析 · 数学 2019-03-19 Pan Liu

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

In this paper we present a novel iterative procedure for multichannel image and data reconstruction using Bregman distances. With the motivation that multiple channels sharing a common subgradient with respect to a suitable regularization…

数值分析 · 数学 2014-12-18 Michael Moeller , Eva-Maria Brinkmann , Martin Burger , Tamara Seybold

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…

太阳与恒星天体物理 · 物理学 2015-06-23 Makoto Uemura , Taichi Kato , Daisaku Nogami , Ronald Mennickent

Flash X-ray computed tomography (CT) is an important imaging modality for characterization of high-speed dynamic events, such as Kolsky bar impact experiments for the study of mechanical properties of materials subjected to impulsive…

图像与视频处理 · 电气工程与系统科学 2024-06-27 Maliha Hossain , Charles A. Bouman , Brendt Wohlberg

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…

计算机视觉与模式识别 · 计算机科学 2014-12-11 Giovanni Chierchia , Nelly Pustelnik , Beatrice Pesquet-Popescu , Jean-Christophe Pesquet