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This work establishes a novel, unified theoretical framework for a class of high order embedded boundary methods, revealing that the Reconstruction for Off-site Data (ROD) treatment shares a fundamental structure with the recently developed…

数值分析 · 数学 2026-01-01 Mirco Ciallella

Recently, several single-pixel imaging (SPI) schemes have emerged for imaging fast-moving objects and have shown dramatic results. However, fast image reconstruction of a moving object with high quality is still challenging for SPI, thereby…

光学 · 物理学 2024-10-08 Shijian Li , Xu-Ri Yao , Wei Zhang , Yeliang Wang , Qing Zhao

Multimodal image registration plays a key role in creating digital patient models by combining data from different imaging techniques into a single coordinate system. This process often involves multiple sequential and interconnected…

计算机视觉与模式识别 · 计算机科学 2025-05-23 Agnieszka Anna Tomaka , Dariusz Pojda , Michał Tarnawski , Leszek Luchowski

A Nystrom-based high-order (HO) discretization scheme for surface integral equations (SIEs) for analyzing the electroencephalography (EEG) forward problem is proposed in this work. We use HO surface elements and interpolation functions for…

数值分析 · 数学 2025-12-05 Rui Chen , Viviana Giunzioni , Adrien Merlini , Francesco P. Andriulli

We present a new methodology for decomposing flows with multiple transports that further extends the shifted proper orthogonal decomposition (sPOD). The sPOD tries to approximate transport-dominated flows by a sum of co-moving data fields.…

数值分析 · 数学 2025-03-07 Philipp Krah , Arthur Marmin , Beata Zorawski , Julius Reiss , Kai Schneider

This paper presents a general method for applying hierarchical matrix skeletonization factorizations to the numerical solution of boundary integral equations with possibly rank-deficient integral operators. Rank-deficient operators arise in…

数值分析 · 数学 2021-04-08 John Paul Ryan , Anil Damle

Occlusion poses a great threat to monocular multi-person 3D human pose estimation due to large variability in terms of the shape, appearance, and position of occluders. While existing methods try to handle occlusion with pose…

计算机视觉与模式识别 · 计算机科学 2022-08-02 Qihao Liu , Yi Zhang , Song Bai , Alan Yuille

Spatial transformations are enablers in a variety of medical image analysis applications that entail aligning images to a common coordinate systems. Population analysis of such transformations is expected to capture the underlying image and…

计算机视觉与模式识别 · 计算机科学 2019-08-20 Riddhish Bhalodia , Shireen Y. Elhabian , Ladislav Kavan , Ross T. Whitaker

This paper focuses on the efficient numerical algorithms of a three-field Biot's consolidation model. The approach begins with the introduction of innovative monolithic and global-in-time iterative decoupled algorithms, which incorporate…

数值分析 · 数学 2025-08-07 Huipeng Gu , Francesco Ballarin , Mingchao Cai , Jingzhi Li

This paper introduces the hierarchical interpolative factorization for integral equations (HIF-IE) associated with elliptic problems in two and three dimensions. This factorization takes the form of an approximate generalized LU…

数值分析 · 数学 2015-04-21 Kenneth L. Ho , Lexing Ying

This work aims to interpolate parametrized Reduced Order Model (ROM) basis constructed via the Proper Orthogonal Decomposition (POD) to derive a robust ROM of the system's dynamics for an unseen target parameter value. A novel non-intrusive…

Traditional low-rank approximation is a powerful tool to compress the huge data matrices that arise in simulations of partial differential equations (PDE), but suffers from high computational cost and requires several passes over the PDE…

数值分析 · 数学 2024-08-01 Angran Li , Stephen Becker , Alireza Doostan

In the character animation field, modern supervised keyframe interpolation models have demonstrated exceptional performance in constructing natural human motions from sparse pose definitions. As supervised models, large motion datasets are…

计算机视觉与模式识别 · 计算机科学 2025-07-29 Clinton Mo , Kun Hu , Chengjiang Long , Dong Yuan , Zhiyong Wang

We introduce Neural Deformation Graphs for globally-consistent deformation tracking and 3D reconstruction of non-rigid objects. Specifically, we implicitly model a deformation graph via a deep neural network. This neural deformation graph…

计算机视觉与模式识别 · 计算机科学 2020-12-04 Aljaž Božič , Pablo Palafox , Michael Zollhöfer , Justus Thies , Angela Dai , Matthias Nießner

The most popular method for computing the matrix logarithm is a combination of the inverse scaling and squaring method in conjunction with a Pad\'e approximation, sometimes accompanied by the Schur decomposition. The main computational…

数值分析 · 数学 2024-01-19 Elias Jarlebring , Jorge Sastre , J. Javier Ibáñez González

While analytics of sleep electroencephalography (EEG) holds certain advantages over other methods in clinical applications, high variability across subjects poses a significant challenge when it comes to deploying machine learning models…

机器学习 · 计算机科学 2023-10-05 Manoj Vishwanath , Steven Cao , Nikil Dutt , Amir M. Rahmani , Miranda M. Lim , Hung Cao

Reliably and physically accurately transferring information between images through deformable image registration with large anatomical differences is an open challenge in medical image analysis. Most existing methods have two key…

计算机视觉与模式识别 · 计算机科学 2023-03-13 Georgios Andreadis , Peter A. N. Bosman , Tanja Alderliesten

This paper investigates humanoid whole-body dexterous manipulation, where the efficient collection of high-quality demonstration data remains a central bottleneck. Existing teleoperation systems often suffer from limited portability,…

机器人学 · 计算机科学 2026-03-16 Liang Heng , Yihe Tang , Jiajun Xu , Henghui Bao , Di Huang , Yue Wang

We apply the Proper Orthogonal Decomposition (POD) method for the efficient simulation of several scenarios undergone by Micro-Electro-Mechanical-Systems, involving nonlinearites of geometric and electrostatic nature. The former type of…

数值分析 · 数学 2022-02-22 Gobat G. , Opreni A. , Fresca S. , Manzoni A. , Frangi A

Motion estimation across low-resolution frames and the reconstruction of high-resolution images are two coupled subproblems of multi-frame super-resolution. This paper introduces a new joint optimization approach for motion estimation and…

计算机视觉与模式识别 · 计算机科学 2016-09-07 Cosmin Bercea , Andreas Maier , Thomas Köhler