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The Alternating Direction Method of Multipliers (ADMM) provides a natural way of solving inverse problems with multiple partial differential equations (PDE) forward models and nonsmooth regularization. ADMM allows splitting these…

数值分析 · 数学 2021-04-29 Luke Lozenski , Umberto Villa

A major challenge in Atomic Force Microscopy (AFM) is to reduce the scan duration while retaining the image quality. Conventionally, the scan rate is restricted to a sufficiently small value in order to ensure a desirable image quality as…

信号处理 · 电气工程与系统科学 2019-02-13 Kaixiang Wang , Michael G. Ruppert , Chris Manzie , Dragan Nesic , Yuen K. Yong

This paper presents a novel extended dynamic programming approach for energy minimization (EDP) to solve the correspondence problem for stereo and motion. A significant speedup is achieved using a recursive minimum search strategy (RMS).…

计算机视觉与模式识别 · 计算机科学 2014-10-30 Mikhail G. Mozerov

Identification of regions of interest (ROI) associated with certain disease has a great impact on public health. Imposing sparsity of pixel values and extracting active regions simultaneously greatly complicate the image analysis. We…

机器学习 · 统计学 2016-05-30 Yao Chen , Xiao Wang , Linglong Kong , Hongtu Zhu

Reconstruction of images from noisy linear measurements is a core problem in image processing, for which convex optimization methods based on total variation (TV) minimization have been the long-standing state-of-the-art. We present an…

信息论 · 计算机科学 2016-08-31 Jean Barbier , Eric W. Tramel , Florent Krzakala

Computational image reconstruction algorithms generally produce a single image without any measure of uncertainty or confidence. Regularized Maximum Likelihood (RML) and feed-forward deep learning approaches for inverse problems typically…

机器学习 · 计算机科学 2020-12-18 He Sun , Katherine L. Bouman

Ptychography, a prevalent imaging technique in fields such as biology and optics, poses substantial challenges in its reconstruction process, characterized by nonconvexity and large-scale requirements. This paper presents a novel approach…

数值分析 · 数学 2024-03-25 Kevin Bui , Zichao Di

Cryo-electron microscopy (Cryo-EM) enables high-resolution imaging of biomolecules, but structural heterogeneity remains a major challenge in 3D reconstruction. Traditional methods assume a discrete set of conformations, limiting their…

机器学习 · 统计学 2025-09-09 Diego Sanchez Espinosa , Erik H Thiede , Yunan Yang

In this work we propose an efficient stochastic plug-and-play (PnP) algorithm for imaging inverse problems. The PnP stochastic gradient descent methods have been recently proposed and shown improved performance in some imaging applications…

最优化与控制 · 数学 2020-06-24 Junqi Tang , Mike Davies

Accurate segmentation of laryngo-pharyngeal tumors is crucial for precise diagnosis and effective treatment planning. However, traditional single-modality imaging methods often fall short of capturing the complex anatomical and pathological…

图像与视频处理 · 电气工程与系统科学 2025-08-26 Junhao Wu , Yun Li , Junhao Li , Jingliang Bian , Xiaomao Fan , Wenbin Lei , Ruxin Wang

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

Robust 3D registration is a fundamental problem in computer vision and robotics, where the goal is to estimate the geometric transformation between two sets of measurements in the presence of noise, mismatches, and extreme outlier…

计算机视觉与模式识别 · 计算机科学 2026-04-09 Xianyun Qian , Fei Wen , Peilin Liu

This paper proposes a provably convergent multiblock ADMM for nonconvex optimization with nonlinear dynamics constraints, overcoming the divergence issue in classical extensions. We consider a class of optimization problems that arise from…

最优化与控制 · 数学 2025-06-24 Bowen Li , Ya-xiang Yuan

With the growing interest and applications in machine learning and data science, finding an efficient method to sparse analysis the high-dimensional data and optimizing a dimension reduction model to extract lower dimensional features has…

最优化与控制 · 数学 2024-06-05 Jiawei Wang , Rencang Li , Richard Yi Da Xu

We present a new processing technique aimed at significantly improving the angular differential imaging method (ADI) in the context of high-contrast imaging of faint objects nearby bright stars in observations obtained with extreme adaptive…

天体物理仪器与方法 · 物理学 2017-11-15 Gianluca Li Causi , Marco Stangalini , Simone Antoniucci , Fernando Pedichini , Massimiliano Mattioli , Vincenzo Testa

Compressed Sensing MRI reconstructs images of the body's internal anatomy from undersampled measurements, thereby reducing scan time. Recently, deep learning has shown great potential for reconstructing high-fidelity images from highly…

图像与视频处理 · 电气工程与系统科学 2025-04-07 Armeet Singh Jatyani , Jiayun Wang , Aditi Chandrashekar , Zihui Wu , Miguel Liu-Schiaffini , Bahareh Tolooshams , Anima Anandkumar

Reconstructing images from downsampled and noisy measurements, such as MRI and low dose Computed Tomography (CT), is a mathematically ill-posed inverse problem. We propose an easy-to-use reconstruction method based on Expectation…

图像与视频处理 · 电气工程与系统科学 2022-08-29 Robert G. Aykroyd , Kehinde Olobatuyi

Accelerating the discovery of mechanical properties in combinatorial materials requires autonomous experimentation that accounts for both instrument behavior and experimental cost. Here, an automated nanoindentation (AE-NI) framework is…

Off-resonance artifacts in magnetic resonance imaging (MRI) are visual distortions that occur when the actual resonant frequencies of spins within the imaging volume differ from the expected frequencies used to encode spatial information.…

医学物理 · 物理学 2023-11-23 Annesha Ghosh , Gordon Wetzstein , Mert Pilanci , Sara Fridovich-Keil

We present a method for dimensionality reduction of an affine variational inequality (AVI) defined over a compact feasible region. Centered around the Johnson Lindenstrauss lemma, our method is a randomized algorithm that produces with high…

最优化与控制 · 数学 2014-11-11 Bharat Prabhakar , Ankur A. Kulkarni