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The TV-Stokes model is a two-step variational method for image denoising that combines the estimation of a divergence-free tangent field with total variation regularization in the first step and then uses that to reconstruct the image in…

数值分析 · 数学 2026-02-20 Andreas Langer , Marc Runft , Talal Rahman , Xue-Cheng Tai , Bin Wu

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…

数值分析 · 数学 2020-09-28 Bin Wu , Leszek Marcinkowski , Xue-Cheng Tai , Talal Rahman

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…

计算机视觉与模式识别 · 计算机科学 2024-10-04 Jing-En Huang , Jia-Wei Liao , Ku-Te Lin , Yu-Ju Tsai , Mei-Heng Yueh

A complete multidimential TV-Stokes model is proposed based on smoothing a gradient field in the first step and reconstruction of the multidimensional image from the gradient field. It is the correct extension of the original two…

数值分析 · 数学 2020-09-30 Bin Wu , Xue-Cheng Tai , Talal Rahman

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

In this paper, we propose a novel symmetric alternating minimization algorithm to solve a broad class of total variation (TV) regularization problems. Unlike the usual $z^k\to x^k$ Gauss-Seidel cycle, the proposed algorithm performs the…

数据结构与算法 · 计算机科学 2020-06-08 Yuan Lei , Jiaxin Xie

Total variation (TV) is a widely used regularizer for stabilizing the solution of ill-posed inverse problems. In this paper, we propose a novel proximal-gradient algorithm for minimizing TV regularized least-squares cost functional. Our…

信息论 · 计算机科学 2016-01-05 Ulugbek S. Kamilov

The total variation (TV) regularization has phenomenally boosted various variational models for image processing tasks. We propose to combine the backward diffusion process in the earlier literature of image enhancement with the TV…

图像与视频处理 · 电气工程与系统科学 2023-06-14 Congpei An , Hao-Ning Wu , Xiaoming Yuan

Total variation (TV) regularization is popular in image restoration and reconstruction due to its ability to preserve image edges. To date, most research activities on TV models concentrate on image restoration from blurry and noisy…

最优化与控制 · 数学 2010-01-13 Yunhai Xiao , Junfeng Yang

Total variation (TV) denoising is a nonparametric smoothing method that has good properties for preserving sharp edges and contours in objects with spatial structures like natural images. The estimate is sparse in the sense that TV…

统计方法学 · 统计学 2016-05-06 Sylvain Sardy , Hatef Monajemi

In this paper we propose a global optimization-based approach to jointly matching a set of images. The estimated correspondences simultaneously maximize pairwise feature affinities and cycle consistency across multiple images. Unlike…

计算机视觉与模式识别 · 计算机科学 2015-12-03 Xiaowei Zhou , Menglong Zhu , Kostas Daniilidis

Due to the COVID-19 pandemic, there is an increasing demand for portable CT machines worldwide in order to diagnose patients in a variety of settings. This has led to a need for CT image reconstruction algorithms that can produce high…

数值分析 · 数学 2025-12-10 Mai Phuong Pham Huynh , Manuel Santana , Ana Castillo

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…

最优化与控制 · 数学 2019-11-27 Japhet Niyobuhungiro , Eric Setterqvist , Freddie Åström , George Baravdish

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

Owing to the edge preserving ability and low computational cost of the total variation (TV), variational models with the TV regularization have been widely investigated in the field of multiplicative noise removal. The key points of the…

计算机视觉与模式识别 · 计算机科学 2015-03-18 Dai-Qiang Chen , Li-Zhi Cheng

Color image denoising is frequently encountered in various image processing and computer vision tasks. One traditional strategy is to convert the RGB image to a less correlated color space and denoise each channel of the new space…

计算机视觉与模式识别 · 计算机科学 2022-09-20 Yiwen Shan , Dong Hu , Zhi Wang , Tao Jia

The total variation (TV) regularization method is an effective method for image deblurring in preserving edges. However, the TV based solutions usually have some staircase effects. In this paper, in order to alleviate the staircase effect,…

数值分析 · 数学 2015-05-20 Gang Liu , Ting-Zhu Huang , Jun Liu , Xiao-Guang Lv

We propose a PDE-constrained optimization approach for the determination of noise distribution in total variation (TV) image denoising. An optimization problem for the determination of the weights correspondent to different types of noise…

最优化与控制 · 数学 2012-07-17 Juan-Carlos De los Reyes , Carola-Bibiane Schönlieb

This paper addresses the solution of inverse problems in imaging given an additional reference image. We combine a modification of the discrete geodesic path model for image metamorphosis with a variational model,actually the $L^2$-$TV$…

数值分析 · 数学 2019-05-22 Sebastian Neumayer , Johannes Persch , Gabriele Steidl

We propose an algorithm for the Wireless Sensor Network localization problem, which is based on the well-known algorithmic framework of Alternating Minimization. We start with a non-smooth and non-convex minimization, and transform it into…

网络与互联网体系结构 · 计算机科学 2020-12-30 Eyal Gur , Shoham Sabach , Shimrit Shtern
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