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We present a new inner-outer iterative algorithm for edge enhancement in imaging problems. At each outer iteration, we formulate a Tikhonov-regularized problem where the penalization is expressed in the 2-norm and involves a regularization…

数值分析 · 数学 2020-12-30 Silvia Gazzola , Misha E. Kilmer , James G. Nagy , Oguz Semerici , Eric L. Miller

A new scheme for digital image correlation, i.e., short time series DIC (STS-DIC) is proposed. Instead of processing the original deformed speckle images individually, STS-DIC combines several adjacent deformed speckle images from a short…

光学 · 物理学 2014-10-29 Xian Wang , Shaopeng Ma

This work is concerned with the recovery of piecewise constant images from noisy linear measurements. We study the noise robustness of a variational reconstruction method, which is based on total (gradient) variation regularization. We show…

数值分析 · 数学 2025-07-08 Yohann De Castro , Vincent Duval , Romain Petit

Existing low-rank tensor completion (LRTC) approaches aim at restoring a partially observed tensor by imposing a global low-rank constraint on the underlying completed tensor. However, such a global rank assumption suffers the trade-off…

计算机视觉与模式识别 · 计算机科学 2022-03-30 Rui Lin , Cong Chen , Ngai Wong

In this paper, a variational, multi-dimensional model for image reconstruction is proposed, in which the regularization term consists of the $r$-order (an)-isotropic total variation seminorms $TV^r$, with $r\in \mathbb R^+$, defined via the…

偏微分方程分析 · 数学 2019-01-17 Pan Liu , Xin Yang Lu

A major challenge in computed tomography (CT) is to reduce X-ray dose to a low or even ultra-low level while maintaining the high quality of reconstructed images. We propose a new method for CT reconstruction that combines penalized…

机器学习 · 统计学 2017-07-11 Xuehang Zheng , Zening Lu , Saiprasad Ravishankar , Yong Long , Jeffrey A. Fessler

Recovering a large matrix from limited measurements is a challenging task arising in many real applications, such as image inpainting, compressive sensing and medical imaging, and this kind of problems are mostly formulated as low-rank…

计算机视觉与模式识别 · 计算机科学 2014-06-12 Yilun Wang , Xinhua Su

Compressed sensing has shown great potentials in accelerating magnetic resonance imaging. Fast image reconstruction and high image quality are two main issues faced by this new technology. It has been shown that, redundant image…

医学物理 · 物理学 2016-01-27 Yunsong Liu , Zhifang Zhan , Jian-Feng Cai , Di Guo , Zhong Chen , Xiaobo Qu

In this paper, we propose a novel approach to the rank minimization problem, termed rank residual constraint (RRC) model. Different from existing low-rank based approaches, such as the well-known nuclear norm minimization (NNM) and the…

计算机视觉与模式识别 · 计算机科学 2020-02-05 Zhiyuan Zha , Xin Yuan , Bihan Wen , Jiantao Zhou , Jiachao Zhang , Ce Zhu

We propose a new fast algorithm for solving one of the standard approaches to ill-posed linear inverse problems (IPLIP), where a (possibly non-smooth) regularizer is minimized under the constraint that the solution explains the observations…

最优化与控制 · 数学 2012-10-10 Manya V. Afonso , José M. Bioucas-Dias , Mário A. T. Figueiredo

Recent advances align diffusion models with human preferences to increase aesthetic appeal and mitigate artifacts and biases. Such methods aim to maximize a conditional output distribution aligned with higher rewards whilst not drifting far…

机器学习 · 计算机科学 2026-02-23 Ratnavibusena Don Shahain Manujith , Teoh Tze Tzun , Kenji Kawaguchi , Yang Zhang

Our goal is to reconstruct tomographic images with few measurements and a low signal-to-noise ratio. In clinical imaging, this helps to improve patient comfort and reduce radiation exposure. As quantum computing advances, we propose to use…

量子物理 · 物理学 2023-10-17 Merlin A. Nau , A. Hans Vija , Wesley Gohn , Maximilian P. Reymann , Andreas K. Maier

Tomographic image reconstruction is relevant for many medical imaging modalities including X-ray, ultrasound (US) computed tomography (CT) and photoacoustics, for which the access to full angular range tomographic projections might be not…

图像与视频处理 · 电气工程与系统科学 2019-06-14 Valery Vishnevskiy , Richard Rau , Orcun Goksel

In radial fast spin-echo MRI, a set of overlapping spokes with an inconsistent T2 weighting is acquired, which results in an averaged image contrast when employing conventional image reconstruction techniques. This work demonstrates that…

医学物理 · 物理学 2016-03-02 Kai Tobias Block , Martin Uecker , Jens Frahm

Long-range temporal alignment is critical yet challenging for video restoration tasks. Recently, some works attempt to divide the long-range alignment into several sub-alignments and handle them progressively. Although this operation is…

计算机视觉与模式识别 · 计算机科学 2021-12-02 Kun Zhou , Wenbo Li , Liying Lu , Xiaoguang Han , Jiangbo Lu

We present a general learning-based solution for restoring images suffering from spatially-varying degradations. Prior approaches are typically degradation-specific and employ the same processing across different images and different pixels…

计算机视觉与模式识别 · 计算机科学 2021-08-20 Kuldeep Purohit , Maitreya Suin , A. N. Rajagopalan , Vishnu Naresh Boddeti

We address the optimization problem in a data-driven variational reconstruction framework, where the regularizer is parameterized by an input-convex neural network (ICNN). While gradient-based methods are commonly used to solve such…

最优化与控制 · 数学 2025-10-24 Matthias J. Ehrhardt , Subhadip Mukherjee , Hok Shing Wong

The reconstruction of images from measured data is an increasing field of research. For highly under-determined problems, template-based image reconstruction provides a way of compensating for the lack of sufficient data. A caveat of this…

最优化与控制 · 数学 2023-05-29 Sebastian Neumayer , Antonia Topalovic

We present an adaptive regularization scheme for optimizing composite energy functionals arising in image analysis problems. The scheme automatically trades off data fidelity and regularization depending on the current data fit during the…

计算机视觉与模式识别 · 计算机科学 2017-05-10 Byung-Woo Hong , Ja-Keoung Koo , Martin Burger , Stefano Soatto

In this paper, we propose a new framework to remove parts of the systematic errors affecting popular restoration algorithms, with a special focus for image processing tasks. Generalizing ideas that emerged for $\ell_1$ regularization, we…

统计理论 · 数学 2016-09-16 C-A. Deledalle , N. Papadakis , J. Salmon , S. Vaiter