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Incompressibility is a fundamental condition in most fluid models. Accumulation of simulation errors violates it and causes volume loss. Past work suggested correction methods to battle it. These methods, however, are imperfect and in some…

Graphics · Computer Science 2026-01-21 Zohar Levi

Forced response curves (FRCs) of nonlinear systems can exhibit complex behaviors, including hardening/softening behavior and bifurcations. Although topology optimization holds great potential for tuning these nonlinear dynamic responses,…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Hongming Liang , Matteo Pozzi , Jacopo Marconi , Shobhit Jain , Mingwu Li

This study presents constructions of the space-time Conservation Element and Solution Element (CESE) methods to accommodate adaptive unstructured quadrilateral meshes. Subsequently, a novel algorithm is devised to effectively manage the…

Fluid Dynamics · Physics 2025-03-10 Lisong Shi , Chaoxiong Zhang , Chih-Yung Wen

We study the long-time error behavior of correction procedure via reconstruction / flux reconstruction (CPR/FR) methods for linear hyperbolic conservation laws. We show that not only the choice of the numerical flux (upwind or central)…

Numerical Analysis · Mathematics 2019-12-24 Philipp Öffner

In this paper, we develop a new free-stream preserving (FP) method for high-order upwind conservative finite-difference (FD) schemes on the curvilinear grids. This FP method is constrcuted by subtracting a reference cell-face flow state…

Numerical Analysis · Mathematics 2021-01-18 Hongmin Su , Jinsheng Cai , Shucheng Pan , Xiangyu Hu

Accurate segmentation of live cell images has broad applications in clinical and research contexts. Deep learning methods have been able to perform cell segmentations with high accuracy; however developing machine learning models to do this…

Image and Video Processing · Electrical Eng. & Systems 2022-12-06 Mayur Bhandary , J. Patricio Reyes , Eylul Ertay , Aman Panda

In this paper, based on the idea of self-adjusting steepness based schemes[5], a two-dimensional calculation method of steepness parameter is proposed, and thus a two-dimensional self-adjusting steepness based limiter is constructed. With…

Computational Engineering, Finance, and Science · Computer Science 2021-01-19 Zhiwei He

When extended to two-phase flows, weakly compressible models lead to a non-conservative system, which precludes its treatment using standard finite volume techniques. In this paper, a novel HLLC-type path-conservative scheme is formulated…

Numerical Analysis · Mathematics 2025-12-01 Ashley Melvin , J. C. Mandal

Two algorithms for solving misalignment issues in penalized PET/CT reconstruction using anatomical priors are proposed. Both approaches are based on a recently published joint motion estimation and image reconstruction method. The first…

A second-order face-centred finite volume strategy on general meshes is proposed. The method uses a mixed formulation in which a constant approximation of the unknown is computed on the faces of the mesh. Such information is then used to…

Numerical Analysis · Mathematics 2020-12-01 Matteo Giacomini , Ruben Sevilla

For many membrane proteins the determination of their topology remains a challenge for methods like X-ray crystallography and nuclear magnetic resonance (NMR) spectroscopy. Electron paramagnetic resonance (EPR) spectroscopy has evolved as…

Prefracture method is a practical implementation for real-time object destruction that is hardly achievable within performance constraints, but can produce unrealistic results due to its heuristic nature. To mitigate it, we approach the…

Computer Vision and Pattern Recognition · Computer Science 2025-02-10 Seunghwan Kim , Sunha Park , Seungkyu Lee

Purpose: To develop a general phase regularized image reconstruction method, with applications to partial Fourier imaging, water-fat imaging and flow imaging. Theory and Methods: The problem of enforcing phase constraints in reconstruction…

Computer Vision and Pattern Recognition · Computer Science 2017-09-26 Frank Ong , Joseph Cheng , Michael Lustig

First-pass perfusion cardiac magnetic resonance (FPP-CMR) is becoming an essential non-invasive imaging method for detecting deficits of myocardial blood flow, allowing the assessment of coronary heart disease. Nevertheless, acquisitions…

This paper provides approximation orders for a class of nonlinear interpolation procedures for univariate data sampled over $\sigma$ quasi-uniform grids. The considered interpolation is built using both essentially nonoscillatory (ENO) and…

Numerical Analysis · Mathematics 2026-04-10 J. A. Padilla , J. C. Trillo

Resistive Pulse Sensing (RPS) is a key label-free technology to measure particles and single-cell size distribution. As a growing corpus of evidence supports that cancer cells exhibit distinct mechanical phenotypes from healthy cells,…

Biological Physics · Physics 2020-04-01 Antoine Riaud , Anh L. P. Thai , Wei Wang , Valerie Taly

Structured pruning is an effective approach for compressing large pre-trained neural networks without significantly affecting their performance. However, most current structured pruning methods do not provide any performance guarantees, and…

Machine Learning · Computer Science 2023-02-14 Marwa El Halabi , Suraj Srinivas , Simon Lacoste-Julien

Recent studies show that deep learning (DL) based MRI reconstruction outperforms conventional methods, such as parallel imaging and compressed sensing (CS), in multiple applications. Unlike CS that is typically implemented with…

Image and Video Processing · Electrical Eng. & Systems 2022-08-22 Hongyi Gu , Burhaneddin Yaman , Steen Moeller , Il Yong Chun , Mehmet Akçakaya

The efficient condition assessment of engineered systems requires the coupling of high fidelity models with data extracted from the state of the system `as-is'. In enabling this task, this paper implements a parametric Model Order Reduction…

Numerical Analysis · Mathematics 2024-07-25 Konstantinos Vlachas , Konstantinos Tatsis , Konstantinos Agathos , Adam R. Brink , Eleni Chatzi

Surface reconstruction with preservation of geometric features is a challenging computer vision task. Despite significant progress in implicit shape reconstruction, state-of-the-art mesh extraction methods often produce aliased,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Natalia Soboleva , Olga Gorbunova , Maria Ivanova , Evgeny Burnaev , Matthias Nießner , Denis Zorin , Alexey Artemov