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相关论文: Superiorized algorithm for reconstruction of CT im…

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The superiorization methodology can be thought of as lying conceptually between feasibility-seeking and constrained minimization. It is not trying to solve the full-fledged constrained minimization problem composed from the modeling…

最优化与控制 · 数学 2023-01-02 Yair Censor

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

We propose a novel method to accurately reconstruct a set of images representing a single scene from few linear multi-view measurements. Each observed image is modeled as the sum of a background image and a foreground one. The background…

计算机视觉与模式识别 · 计算机科学 2013-09-19 Gilles Puy , Pierre Vandergheynst

This paper proposes a novel regularization method, named Spatio-Spectral Structure Tensor Total Variation (S3TTV), for denoising and destriping of hyperspectral (HS) images. HS images are inevitably contaminated by various types of noise,…

信号处理 · 电气工程与系统科学 2025-07-08 Shingo Takemoto , Kazuki Naganuma , Shunsuke Ono

Reconstruction of CT images from a limited set of projections through an object is important in several applications ranging from medical imaging to industrial settings. As the number of available projections decreases, traditional…

计算机视觉与模式识别 · 计算机科学 2022-01-25 Anish Lahiri , Marc Klasky , Jeffrey A. Fessler , Saiprasad Ravishankar

Computed Tomography (CT) reconstruction is a fundamental component to a wide variety of applications ranging from security, to healthcare. The classical techniques require measuring projections, called sinograms, from a full 180$^\circ$…

计算机视觉与模式识别 · 计算机科学 2018-07-12 Rushil Anirudh , Hyojin Kim , Jayaraman J. Thiagarajan , K. Aditya Mohan , Kyle Champley , Timo Bremer

We propose an efficient estimation technique for the automatic selection of locally-adaptive Total Variation regularisation parameters based on an hybrid strategy which combines a local maximum-likelihood approach estimating space-variant…

最优化与控制 · 数学 2020-05-20 Luca Calatroni , Alessandro Lanza , Monica Pragliola , Fiorella Sgallari

The inversion of linear systems is a fundamental step in many inverse problems. Computational challenges exist when trying to invert large linear systems, where limited computing resources mean that only part of the system can be kept in…

分布式、并行与集群计算 · 计算机科学 2017-09-05 Yushan Gao , Thomas Blumensath

We introduce a novel optimization algorithm for image recovery under learned sparse and low-rank constraints, which we parameterize as weighted extensions of the $\ell_p^p$-vector and $\mathcal S_p^p$ Schatten-matrix quasi-norms for…

计算机视觉与模式识别 · 计算机科学 2023-04-21 Stamatios Lefkimmiatis , Iaroslav Koshelev

In the practical applications of computed tomography imaging, the projection data may be acquired within a limited-angle range and corrupted by noises due to the limitation of scanning conditions. The noisy incomplete projection data…

图像与视频处理 · 电气工程与系统科学 2022-08-02 Qifeng Gao , Rui Ding , Linyuan Wang , Bin Xue , Yuping Duan

Image denoising techniques are essential to reducing noise levels and enhancing diagnosis reliability in low-dose computed tomography (CT). Machine learning based denoising methods have shown great potential in removing the complex and…

计算机视觉与模式识别 · 计算机科学 2017-08-29 Dufan Wu , Kyungsang Kim , Georges El Fakhri , Quanzheng Li

We show how total variation regularization of images in arbitrary dimensions can be approximately performed by applying appropriate shrinkage to some Haar wavelets coefficients. The approach works directly on the wavelet coefficients and is…

数值分析 · 数学 2024-11-04 Tomas Sauer , A. Michael Stock

Model-based material decomposition is a statisticaliterative reconstruction framework where basis material densityimages are estimated directly from spectral CT data. This methoduses a physical model for polyenergetic x-ray transmission…

医学物理 · 物理学 2020-10-06 Matthew Tivnan , Wenying Wang , J. Webster Stayman

Image processing on surfaces has drawn significant interest in recent years, particularly in the context of denoising. Salt-and-pepper noise is a special type of noise which randomly sets a portion of the image pixels to the minimum or…

数值分析 · 数学 2024-09-18 Yuan Liu , Peiqi Yu , Chao Zeng

Improving the quality of positron emission tomography (PET) images, affected by low resolution and high level of noise, is a challenging task in nuclear medicine and radiotherapy. This work proposes a restoration method, achieved after…

计算机视觉与模式识别 · 计算机科学 2015-06-17 Stéphanie Guérit , Laurent Jacques , Benoît Macq , John A. Lee

We develop mask iterative hard thresholding algorithms (mask IHT and mask DORE) for sparse image reconstruction of objects with known contour. The measurements follow a noisy underdetermined linear model common in the compressive sampling…

机器学习 · 统计学 2011-12-05 Aleksandar Dogandzic , Renliang Gu , Kun Qiu

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

Dual-energy computed tomography (DECT) has shown great potential and promising applications in advanced imaging fields for its capabilities of material decomposition. However, image reconstructions and decompositions under sparse views…

医学物理 · 物理学 2016-08-01 Lei Li , Ailong Cai , Linyuan Wang , Bin Yan , Hanming Zhang , Zhizhong Zheng , Wenkun Zhang , Wanli Lu , Guoen Hu

In this paper, we systematically evaluate the performance of adaptive adjustment of the relaxation parameters of various iterative algorithms for X-ray CT reconstruction relying on sparsity priors. Sparsity prior has been found to be an…

医学物理 · 物理学 2015-10-07 Sajib Saha , Murat Tahtali , Andrew Lambert , Mark Pickering

In this work, we consider a class of differentiable criteria for sparse image computing problems, where a nonconvex regularization is applied to an arbitrary linear transform of the target image. As special cases, it includes…

最优化与控制 · 数学 2013-08-27 Emilie Chouzenoux , Anna Jezierska , Jean-Christophe Pesquet , Hugues Talbot
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