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The transport and deformation of confined droplets and flexible capsules are central to diverse phenomena and applications, from biological flows in microcapillaries to industrial processes in porous media. Inspired by experiments, we…

While both shape and texture are fundamental to visual recognition, research on deep neural networks (DNNs) has predominantly focused on the latter, leaving their geometric understanding poorly probed. Here, we show: first, that optimized…

Computer Vision and Pattern Recognition · Computer Science 2025-11-10 Jian Wang , Yixing Yong , Haixia Bi , Lijun He , Fan Li

We present a new approach to 3D object representation where a neural network encodes the geometry of an object directly into the weights and biases of a second 'mapping' network. This mapping network can be used to reconstruct an object by…

Machine Learning · Computer Science 2020-04-07 Eric Mitchell , Selim Engin , Volkan Isler , Daniel D Lee

Besides accuracy, the model size of convolutional neural networks (CNN) models is another important factor considering limited hardware resources in practical applications. For example, employing deep neural networks on mobile systems…

Machine Learning · Computer Science 2021-07-05 Huixin Zhan , Wei-Ming Lin , Yongcan Cao

Turbulent mixing and entrainment at the boundary of a cloud is studied by means of direct numerical simulations that couple the Eulerian description of the turbulent velocity and water vapor fields with a Lagrangian ensemble of cloud water…

Fluid Dynamics · Physics 2013-10-14 Bipin Kumar , Joerg Schumacher , Raymond A. Shaw

Applications such as Magnetic Resonance Tomography acquire imaging data by point samples of their Fourier transform. This raises the question of balancing the efficiency of the sampling strategies with the approximation accuracy of an…

Numerical Analysis · Mathematics 2015-10-20 Gitta Kutyniok , Wang-Q Lim

Compressing neural nets is an active research problem, given the large size of state-of-the-art nets for tasks such as object recognition, and the computational limits imposed by mobile devices. We give a general formulation of model…

Machine Learning · Computer Science 2017-07-06 Miguel Á. Carreira-Perpiñán

This paper outlines a numerical algorithm that could be used for simulating full 3D dynamics of magnetic fluid droplet shapes in external magnetic fields, by solving boundary integral equations. The algorithm works with arbitrary droplet…

Fluid Dynamics · Physics 2022-03-18 Aigars Langins , Andris P. Stikuts , Andrejs Cēbers

Representing complex 3D objects as simple geometric primitives, known as shape abstraction, is important for geometric modeling, structural analysis, and shape synthesis. In this paper, we propose an unsupervised shape abstraction method to…

Computer Vision and Pattern Recognition · Computer Science 2021-06-08 Kaizhi Yang , Xuejin Chen

This technical report investigates the potential of Convolutional Neural Networks to post-process images from primary atomization. Three tasks are investigated. First, the detection and segmentation of liquid droplets in degraded optical…

Computer Vision and Pattern Recognition · Computer Science 2019-10-25 Geoffroy Chaussonnet , Christian Lieber , Yan Yikang , Wenda Gu , Andreas Bartschat , Markus Reischl , Rainer Koch , Ralf Mikut , Hans-Jörg Bauer

In the area of 3D shape analysis, the geometric properties of a shape have long been studied. Instead of directly extracting representative features using expert-designed descriptors or end-to-end deep neural networks, this paper is…

Computer Vision and Pattern Recognition · Computer Science 2021-12-22 Zongji Wang , Yunfei Liu , Feng Lu

Point clouds have become increasingly vital across various applications thanks to their ability to realistically depict 3D objects and scenes. Nevertheless, effectively compressing unstructured, high-precision point cloud data remains a…

Computer Vision and Pattern Recognition · Computer Science 2024-05-21 Hongning Ruan , Yulin Shao , Qianqian Yang , Liang Zhao , Dusit Niyato

In this paper, we propose a novel approach to 3D deformable object manipulation leveraging a deep neural network called DeformerNet. Controlling the shape of a 3D object requires an effective state representation that can capture the full…

Robotics · Computer Science 2021-07-20 Bao Thach , Alan Kuntz , Tucker Hermans

We give an algorithm that learns a representation of data through compression. The algorithm 1) predicts bits sequentially from those previously seen and 2) has a structure and a number of computations similar to an autoencoder. The…

Computer Vision and Pattern Recognition · Computer Science 2011-08-05 Karol Gregor , Yann LeCun

One of the main challenges for arbitrary-shaped text detection is to design a good text instance representation that allows networks to learn diverse text geometry variances. Most of existing methods model text instances in image spatial…

Computer Vision and Pattern Recognition · Computer Science 2021-04-23 Yiqin Zhu , Jianyong Chen , Lingyu Liang , Zhanghui Kuang , Lianwen Jin , Wayne Zhang

This dataset contains 10,000 fluid flow and heat transfer simulations in U-bend shapes. Each of them is described by 28 design parameters, which are processed with the help of Computational Fluid Dynamics methods. The dataset provides a…

Fluid Dynamics · Physics 2023-08-31 Jens Decke , Olaf Wünsch , Bernhard Sick

\textit{This study focuses on combustion and evaporation of an isolated freely deforming fuel droplet under convective flow. The droplet shape is modified by varying Weber number at moderate Reynolds numbers. A simplified chemical reaction…

Fluid Dynamics · Physics 2023-08-02 Meha Setiya , John Palmore

We formulate mold filling in metal casting as a 2D neural operator learning problem that maps geometry and boundary data on an unstructured mesh to time resolved flow quantities, replacing expensive transient CFD. In the proposed method, a…

Computational Engineering, Finance, and Science · Computer Science 2025-10-31 Edgard Moreira Minete , Mathis Immertreu , Fabian Teichmann , Sebastian Müller

With the growing size and complexity of turbulent flow models, data compression approaches are of the utmost importance to analyze, visualize, or restart the simulations. Recently, in-situ autoencoder-based compression approaches have been…

Fluid Dynamics · Physics 2022-10-18 Alberto Olmo , Ahmed Zamzam , Andrew Glaws , Ryan King

The present study deals with the numerical as well as asymptotic analysis of the electrohydrodynamic interaction between two deformable droplets in a confined shear flow. Considering both the phases as leaky dielectric, we have performed…

Fluid Dynamics · Physics 2019-03-27 Somnath Santra , Diptendu Sen , Sayan Das , Suman Chakraborty