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相关论文: Directional TGV-based image restoration under Pois…

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Total Generalized Variation (TGV) regularization in image reconstruction relies on an infimal convolution type combination of generalized first- and second-order derivatives. This helps to avoid the staircasing effect of Total Variation…

最优化与控制 · 数学 2022-05-09 Michael Hintermüller , Kostas Papafitsoros , Carlos N. Rautenberg , Hongpeng Sun

Equivocal 3D lesion segmentation exhibits high inter-observer variability. Conventional deterministic models ignore this aleatoric uncertainty, producing over-confident masks that obscure clinical risks. Conversely, while generative methods…

计算机视觉与模式识别 · 计算机科学 2026-03-05 Chao Wu , Kangxian Xie , Mingchen Gao

Many numerical algorithms have been established to reconstruct pressure fields from measured kinematic data with noise by Particle Image Velocimetry (PIV), such as the Pressure Poisson solver and the Omni-Directional Integration (ODI)…

流体动力学 · 物理学 2023-02-01 Zejian You , Qi Wang , Xiaofeng Liu

This paper presents an efficient algorithm to solve total variation (TV) regularizations of images contaminated by a both blur and noise. The unconstrained structure of the problem suggests that one can solve a constrained optimization…

数值分析 · 计算机科学 2018-02-13 A. Bentbib , M. El Guide , K. Jbilou

We propose a method, called ACQUIRE, for the solution of constrained optimization problems modeling the restoration of images corrupted by Poisson noise. The objective function is the sum of a generalized Kullback-Leibler divergence term…

最优化与控制 · 数学 2019-08-22 Daniela di Serafino , Germana Landi , Marco Viola

Fully convolutional deep neural networks carry out excellent potential for fast and accurate image segmentation. One of the main challenges in training these networks is data imbalance, which is particularly problematic in medical imaging…

计算机视觉与模式识别 · 计算机科学 2017-06-20 Seyed Sadegh Mohseni Salehi , Deniz Erdogmus , Ali Gholipour

Total variation has proved its effectiveness in solving inverse problems for compressive sensing. Besides, the nonlocal means filter used as regularization preserves texture better for recovered images, but it is quite complex to implement.…

计算机视觉与模式识别 · 计算机科学 2016-08-30 Trinh Van Chien , Khanh Quoc Dinh , Viet Anh Nguyen , Byeungwoo Jeon

Reduction of mixed noise is an ill posed problem for the occurrence of contrasting distributions of noise in the image. The mixed noise that is usually encountered is the simultaneous presence of additive white Gaussian noise (AWGN) and…

图像与视频处理 · 电气工程与系统科学 2018-11-02 Mohammad Tariqul Islam , Dipayan Saha , S. M. Mahbubur Rahman , M. Omair Ahmad , M. N. S. Swamy

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

Temporal Graph Networks (TGNs) have shown remarkable performance in learning representation for continuous-time dynamic graphs. However, real-world dynamic graphs typically contain diverse and intricate noise. Noise can significantly…

机器学习 · 计算机科学 2023-09-06 Siwei Zhang , Yun Xiong , Yao Zhang , Yiheng Sun , Xi Chen , Yizhu Jiao , Yangyong Zhu

In the rapidly evolving field of 3D reconstruction, 3D Gaussian Splatting (3DGS) and 2D Gaussian Splatting (2DGS) represent significant advancements. Although 2DGS compresses 3D Gaussian primitives into 2D Gaussian surfels to effectively…

计算机视觉与模式识别 · 计算机科学 2024-07-17 Zhuoxiao Li , Shanliang Yao , Yijie Chu , Angel F. Garcia-Fernandez , Yong Yue , Eng Gee Lim , Xiaohui Zhu

Dielectric tensor tomography reconstructs the three-dimensional dielectric tensors of microscopic objects and provides information about the crystalline structure orientations and principal refractive indices. Because dielectric tensor…

光学 · 物理学 2022-10-13 Herve Hugonnet , Seungwoo Shin , Yongkeun Park

We study Newton type methods for inverse problems described by nonlinear operator equations $F(u)=g$ in Banach spaces where the Newton equations $F'(u_n;u_{n+1}-u_n) = g-F(u_n)$ are regularized variationally using a general data misfit…

数值分析 · 数学 2015-04-01 Thorsten Hohage , Frank Werner

It remains a challenge to simultaneously remove geometric distortion and space-time-varying blur in frames captured through a turbulent atmospheric medium. To solve, or at least reduce these effects, we propose a new scheme to recover a…

计算机视觉与模式识别 · 计算机科学 2014-01-20 Yuan Xie , Wensheng Zhang , Dacheng Tao , Wenrui Hu , Yanyun Qu , Hanzi Wang

We propose a deconvolution algorithm for images blurred and degraded by a Poisson noise. The algorithm uses a fast proximal backward-forward splitting iteration. This iteration minimizes an energy which combines a \textit{non-linear} data…

应用统计 · 统计学 2008-12-18 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

Cartoon-texture image decomposition is a critical preprocessing problem bottlenecked by the numerical intractability of classical variational or optimization models and the tedious manual tuning of global regularization parameters.We…

数值分析 · 数学 2026-01-09 Alessandro Lanza , Serena Morigi , Youwei Wen , Li Yang

Computed Tomography (CT) enables detailed cross-sectional imaging but continues to face challenges in balancing reconstruction quality and computational efficiency. While deep learning-based methods have significantly improved image quality…

图像与视频处理 · 电气工程与系统科学 2025-10-23 Shaokai Wu , Yuxiang Lu , Yapan Guo , Wei Ji , Suizhi Huang , Fengyu Yang , Shalayiding Sirejiding , Qichen He , Jing Tong , Yanbiao Ji , Yue Ding , Hongtao Lu

Various problems in computer vision and medical imaging can be cast as inverse problems. A frequent method for solving inverse problems is the variational approach, which amounts to minimizing an energy composed of a data fidelity term and…

计算机视觉与模式识别 · 计算机科学 2020-06-17 Erich Kobler , Alexander Effland , Karl Kunisch , Thomas Pock

Diffuse Optical Tomography (DOT) is an emerging technology in medical imaging which employs light in the NIR spectrum to estimate the distribution of optical coefficients in biological tissues for diagnostic and monitoring purposes. DOT…

数值分析 · 数学 2022-05-27 Alessandro Benfenati , Giuseppe Bisazza , Paola Causin

We treat an image restoration problem with a Poisson noise chan- nel using a Bayesian framework. The Poisson randomness might be appeared in observation of low contrast object in the field of imaging. The noise observation is often hard to…

计算机视觉与模式识别 · 计算机科学 2014-12-09 Hayaru Shouno