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We propose an optimization method for minimizing the finite sums of smooth convex functions. Our method incorporates an accelerated gradient descent (AGD) and a stochastic variance reduction gradient (SVRG) in a mini-batch setting. Unlike…

机器学习 · 统计学 2015-06-11 Atsushi Nitanda

In this paper we propose a novel method for the segmentation of longitudinal brain MRI scans of patients suffering from Multiple Sclerosis. The method builds upon an existing cross-sectional method for simultaneous whole-brain and lesion…

图像与视频处理 · 电气工程与系统科学 2021-01-05 Stefano Cerri , Andrew Hoopes , Douglas N. Greve , Mark Mühlau , Koen Van Leemput

Parallel magnetic resonance imaging has served as an effective and widely adopted technique for accelerating scans. The advent of sparse sampling offers aggressive acceleration, allowing flexible sampling and better reconstruction.…

医学物理 · 物理学 2019-09-09 Xinlin Zhang , Di Guo , Yiman Huang , Ying Chen , Liansheng Wang , Feng Huang , Xiaobo Qu

Gradient sampling (GS) has proved to be an effective methodology for the minimization of objective functions that may be nonconvex and/or nonsmooth. The most computationally expensive component of a contemporary GS method is the need to…

最优化与控制 · 数学 2021-08-10 Frank E. Curtis , Minhan Li

Statistical image reconstruction (SIR) methods have shown potential to substantially improve the image quality of low-dose X-ray computed tomography (CT) as compared to the conventional filtered back-projection (FBP) method for various…

医学物理 · 物理学 2015-05-15 Hao Zhang , Jing Wang , Jianhua Ma , Hongbing Lu , Zhengrong Liang

Sparse-view 3D CT reconstruction aims to recover volumetric structures from a limited number of 2D X-ray projections. Existing feedforward methods are constrained by the scarcity of large-scale training datasets and the absence of direct…

图像与视频处理 · 电气工程与系统科学 2026-01-29 Guofeng Zhang , Ruyi Zha , Hao He , Yixun Liang , Alan Yuille , Hongdong Li , Yuanhao Cai

Gaussian Splatting (GS) has emerged as a dominating technique for image rendering and has quickly been adapted for the X-ray Computed Tomography (CT) reconstruction task. However, despite being on par or better than many of its…

计算机视觉与模式识别 · 计算机科学 2026-04-03 Pawel Tomasz Pieta , Rasmus Juul Pedersen , Sina Borgi , Jakob Sauer Jørgensen , Jens Wenzel Andreasen , Vedrana Andersen Dahl

We derive a memory-efficient first-order variable splitting algorithm for convex image reconstruction problems with non-smooth regularization terms. The algorithm is based on a primal-dual approach, where one of the dual variables is…

最优化与控制 · 数学 2019-04-02 Greg Ongie , Naveen Murthy , Laura Balzano , Jeffrey A. Fessler

Multi-segment reconstruction (MSR) problem consists of recovering a signal from noisy segments with unknown positions of the observation windows. One example arises in DNA sequence assembly, which is typically solved by matching short reads…

信号处理 · 电气工程与系统科学 2018-02-27 Mona Zehni , Minh N. Do , Zhizhen Zhao

Variational formulations of reconstruction in computed tomography have the notable drawback of requiring repeated evaluations of both the forward Radon transform and either its adjoint or an approximate inverse transform which are…

数值分析 · 数学 2017-05-23 Richard C. Barnard , Rick Archibald

We consider a separation problem where the observation consists of the sum of a high amplitude smooth signal and a low amplitude transient signal. We propose a method for decomposition that relies on solving instances of a `constrained…

信号处理 · 电气工程与系统科学 2020-07-15 Ilker Bayram

Traditional model-based image reconstruction (MBIR) methods combine forward and noise models with simple object priors. Recent application of deep learning methods for image reconstruction provides a successful data-driven approach to…

图像与视频处理 · 电气工程与系统科学 2023-11-22 Ling Chen , Zhishen Huang , Yong Long , Saiprasad Ravishankar

Cardiac magnetic resonance (CMR) imaging and computed tomography (CT) are two common non-invasive imaging methods for assessing patients with cardiovascular disease. CMR typically acquires multiple sparse 2D slices, with unavoidable…

图像与视频处理 · 电气工程与系统科学 2024-08-15 Yiyang Xu , Hao Xu , Matthew Sinclair , Esther Puyol-Antón , Steven A Niederer , Amedeo Chiribiri , Steven E Williams , Michelle C Williams , Alistair A Young

Traditional model-based image reconstruction (MBIR) methods combine forward and noise models with simple object priors. Recent application of deep learning methods for image reconstruction provides a successful data-driven approach to…

图像与视频处理 · 电气工程与系统科学 2022-05-20 Ling Chen , Zhishen Huang , Yong Long , Saiprasad Ravishankar

Generating reports for computed tomography (CT) images is a challenging task, while similar to existing studies for medical image report generation, yet has its unique characteristics, such as spatial encoding of multiple images, alignment…

计算机视觉与模式识别 · 计算机科学 2025-06-25 Yuanhe Tian , Lei Mao , Yan Song

For many applications in signal processing and machine learning, we are tasked with minimizing a large sum of convex functions subject to a large number of convex constraints. In this paper, we devise a new random projection method (RPM) to…

最优化与控制 · 数学 2024-04-08 Zhichun Yang , Fu-quan Xia , Kai Tu , Man-Chung Yue

Spectral computed tomography (CT) is an emerging technology capable of providing high chemical specificity, which is crucial for many applications such as detecting threats in luggage. This type of application requires both fast and…

图像与视频处理 · 电气工程与系统科学 2021-03-30 Wail Mustafa , Christian Kehl , Ulrik Lund Olsen , Søren Kimmer Schou Gregersen , David Malmgren-Hansen , Jan Kehres , Anders Bjorholm Dahl

Image super-resolution (SR) is one of the long-standing and active topics in image processing community. A large body of works for image super resolution formulate the problem with Bayesian modeling techniques and then obtain its…

计算机视觉与模式识别 · 计算机科学 2012-09-20 Haichao Zhang , David Wipf , Yanning Zhang

We propose an accelerated forward-backward method with fast convergence rate for finding a minimizer of a decomposable nonsmooth convex function over a closed convex set, and name it smoothing accelerated proximal gradient (SAPG) algorithm.…

最优化与控制 · 数学 2021-10-05 Wei Bian , Fan Wu

In this paper, we propose a novel locally statistical active contour model (LACM) based on Aubert-Aujol (AA) denoising model and variational level set method, which can be used for SAR images segmentation with intensity inhomogeneity. Then…

计算机视觉与模式识别 · 计算机科学 2025-08-20 Guangming Liu