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Applying proper orthogonal decomposition to a usual finite element (FE) formulation for space fractional partial differential equation, we get a reduced FE model, which greatly reduces the complexity of computation. Then, the stability…

Numerical Analysis · Mathematics 2019-01-04 Jing Sun , Daxin Nie , Weihua Deng

Building photorealistic, animatable full-body digital humans remains a longstanding challenge in computer graphics and vision. Recent advances in animatable avatar modeling have largely progressed along two directions: improving the…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Heming Zhu , Guoxing Sun , Marc Habermann

Finite element analysis (FEA) has been widely used to generate simulations of complex and nonlinear systems. Despite its strength and accuracy, the limitations of FEA can be summarized into two aspects: a) running high-fidelity FEA often…

Machine Learning · Computer Science 2020-12-15 Yinan Wang , Kaiwen Wang , Wenjun Cai , Xiaowei Yue

We present a finite element method (FEM) solver for computation of optical resonance modes in VCSELs. We perform a convergence study and demonstrate that high accuracies for 3D setups can be attained on standard computers. We also…

Optics · Physics 2012-03-02 M. Rozova , J. Pomplun , L. Zschiedrich , F. Schmidt , S. Burger

Virtual models are important for training and teaching tools used in medical imaging research. We introduce a workflow that can be used to convert volumetric medical imaging data (as generated by Computer Tomography (CT)) to computer-based…

Medical Physics · Physics 2024-02-05 Kaustav Bora , Adarsh Mishra , CS Kumar

In the design phase of an electrical machine, finite element (FE) simulation are commonly used to numerically optimize the performance. The output of the magneto-static FE simulation characterizes the electromagnetic behavior of the…

Machine Learning · Computer Science 2022-11-01 Vivek Parekh , Dominik Flore , Sebastian Schöps

This paper presents a first evaluation of the feasibility of Finite Element modelling of the orbital decompression, in the context of exophthalmia. First simulations are carried out with data extracted from a patient TDM exam. Results seem…

Medical Physics · Physics 2007-05-23 Vincent Luboz , Annaig Pedrono , Franck Boutault , Pascal Swider , Yohan Payan

Computational simulations using methods such as the finite element (FE) method rely on high-quality meshes for achieving accurate results. This study introduces a method for creating a high-quality hexahedral mesh using the Open Anatomy…

Computational Engineering, Finance, and Science · Computer Science 2024-02-23 Andy Trung Huynh , Benjamin Zwick , Michael Halle , Adam Wittek , Karol Miller

Numerical homogenization for mechanical multiscale modeling by means of the finite element method (FEM) is an elegant way of obtaining structure-property relations, if the behavior of the constituents of the lower scale is well understood.…

Numerical Analysis · Mathematics 2025-08-07 Nils Lange , Geralf Hütter , Bjoern Kiefer

The rapid advancement of deepfake technologies has sparked widespread public concern, particularly as face forgery poses a serious threat to public information security. However, the unknown and diverse forgery techniques, varied facial…

Computer Vision and Pattern Recognition · Computer Science 2024-11-22 Zhengchao Huang , Bin Xia , Zicheng Lin , Zhun Mou , Wenming Yang , Jiaya Jia

Image segmentation is a popular area of research in computer vision that has many applications in automated image processing. A recent technique called piecewise flat embeddings (PFE) has been proposed for use in image segmentation; PFE…

Computer Vision and Pattern Recognition · Computer Science 2016-12-21 Renee T. Meinhold , Tyler L. Hayes , Nathan D. Cahill

Many modern online 3D applications and videogames rely on parametric models of human faces for creating believable avatars. However, manual reproduction of someone's facial likeness with a parametric model is difficult and time-consuming.…

Computer Vision and Pattern Recognition · Computer Science 2022-08-08 Igor Borovikov , Karine Levonyan , Jon Rein , Pawel Wrotek , Nitish Victor

Design-space dimensionality reduction is essential to mitigate the cost of high-fidelity simulation-based optimization, especially when dealing with high-dimensional geometric parameterizations. Traditional linear techniques, such as…

Optimization and Control · Mathematics 2025-07-23 Andrea Serani , Giorgio Palma , Jeroen Wackers , Domenico Quagliarella , Stefano Gaggero , Matteo Diez

Quantum computing holds great promise for solving classically intractable problems such as linear systems and partial differential equations (PDEs). While fully fault-tolerant quantum computers remain out of reach, current noisy…

Quantum Physics · Physics 2025-10-20 Samuel Donachie , Ulysse Remond , Arthur Mathorel , Kyryl Kazymyrenko

In this work, we propose an extension of the mixed Virtual Element Method (VEM) for bi-dimensional computational grids with curvilinear edge elements. The approximation by means of rectilinear edges of a domain with curvilinear geometrical…

Numerical Analysis · Mathematics 2021-09-01 Franco Dassi , Alessio Fumagalli , Davide Losapio , Stefano Scialò , Anna Scotti , Giuseppe Vacca

Efficiently digitizing high-fidelity animatable human avatars from videos is a challenging and active research topic. Recent volume rendering-based neural representations open a new way for human digitization with their friendly usability…

Computer Vision and Pattern Recognition · Computer Science 2023-03-24 Xiaoke Huang , Yiji Cheng , Yansong Tang , Xiu Li , Jie Zhou , Jiwen Lu

Generative Artificial Intelligence (AI) models can propose solutions to scientific problems beyond human capability. To truly make conceptual contributions, researchers need to be capable of understanding the AI-generated structures and…

Human-Computer Interaction · Computer Science 2024-10-21 Philipp Schmidt , Sören Arlt , Carlos Ruiz-Gonzalez , Xuemei Gu , Carla Rodríguez , Mario Krenn

Visual question answering (VQA) demands simultaneous comprehension of both the image visual content and natural language questions. In some cases, the reasoning needs the help of common sense or general knowledge which usually appear in the…

Computer Vision and Pattern Recognition · Computer Science 2018-11-30 Hui Li , Peng Wang , Chunhua Shen , Anton van den Hengel

We examine a variety of numerical methods that arise when considering dynamical systems in the context of physics-based simulations of deformable objects. Such problems arise in various applications, including animation, robotics, control…

Graphics · Computer Science 2021-08-19 Uri M. Ascher , Egor Larionov , Seung Heon Sheen , Dinesh K. Pai

Defeaturing consists in simplifying geometrical models by removing the geometrical features that are considered not relevant for a given simulation. Feature removal and simplification of computer-aided design models enables faster…

Numerical Analysis · Mathematics 2021-12-01 Annalisa Buffa , Ondine Chanon , Rafael Vázquez
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