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Convolutional neural networks (CNNs) leverage the great power in representation learning on regular grid data such as image and video. Recently, increasing attention has been paid on generalizing CNNs to graph or network data which is…

Social and Information Networks · Computer Science 2018-08-21 Yao Ma , Suhang Wang , Charu C. Aggarwal , Dawei Yin , Jiliang Tang

In machine learning for fluid mechanics, fully-connected neural network (FNN) only uses the local features for modelling, while the convolutional neural network (CNN) cannot be applied to data on structured/unstructured mesh. In order to…

Fluid Dynamics · Physics 2021-01-14 Mengfei Xu , Shufang Song , Xuxiang Sun , Weiwei Zhang

Many real-world physics and engineering problems arise in geometrically complex domains discretized by meshes for numerical simulations. The nodes of these potentially irregular meshes naturally form point clouds whose limited tractability…

Machine Learning · Computer Science 2025-06-17 Shirin Hosseinmardi , Ramin Bostanabad

We present MeshGraphNet-Transformer (MGN-T), a novel architecture that combines the global modeling capabilities of Transformers with the geometric inductive bias of MeshGraphNets, while preserving a mesh-based graph representation. MGN-T…

Machine Learning · Computer Science 2026-02-06 Mikel M. Iparraguirre , Iciar Alfaro , David Gonzalez , Elias Cueto

Three-dimensional geometric data offer an excellent domain for studying representation learning and generative modeling. In this paper, we look at geometric data represented as point clouds. We introduce a deep AutoEncoder (AE) network with…

Computer Vision and Pattern Recognition · Computer Science 2018-06-13 Panos Achlioptas , Olga Diamanti , Ioannis Mitliagkas , Leonidas Guibas

It is challenging to directly estimate the human geometry from a single image due to the high diversity and complexity of body shapes with the various clothing styles. Most of model-based approaches are limited to predict the shape and pose…

Computer Vision and Pattern Recognition · Computer Science 2022-02-02 Lixiang Lin , Jianke Zhu

Computer representations of three-dimensional (3D) geometries are crucial for simulating systems and processes in engineering and science. In medicine, and more specifically, biomechanics and orthopaedics, obtaining and using 3D geometries…

Quantitative Methods · Quantitative Biology 2024-04-05 Thor E. Andreassen , Donald R. Hume , Landon D. Hamilton , Sean E. Higinbotham , Kevin B. Shelburne

In this paper, we propose a novel formulation to extend CNNs to two-dimensional (2D) manifolds using orthogonal basis functions, called Zernike polynomials. In many areas, geometric features play a key role in understanding scientific…

Computer Vision and Pattern Recognition · Computer Science 2023-05-12 Zhiyu Sun , Ethan Rooke , Jerome Charton , Yusen He , Jia Lu , Stephen Baek

We propose a novel deep reinforcement learning-based approach for 3D object reconstruction from monocular images. Prior works that use mesh representations are template based. Thus, they are limited to the reconstruction of objects that…

Computer Vision and Pattern Recognition · Computer Science 2021-09-27 Tarek Ben Charrada , Hedi Tabia , Aladine Chetouani , Hamid Laga

We consider the problem of regenerating 3D objects from 2D images and initial 3D shapes. Most 3D generators operate in a one-shot fashion, converting text or images to a 3D object with limited controllability. We introduce instead…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Geon Yeong Park , Roman Shapovalov , Rakesh Ranjan , Jong Chul Ye , Andrea Vedaldi , Thu Nguyen-Phuoc

Implicit surface representations, such as signed-distance functions, combined with deep learning have led to impressive models which can represent detailed shapes of objects with arbitrary topology. Since a continuous function is learned,…

Computer Vision and Pattern Recognition · Computer Science 2021-02-08 Edgar Tretschk , Ayush Tewari , Vladislav Golyanik , Michael Zollhöfer , Carsten Stoll , Christian Theobalt

In recent years, there has been a growing interest in using machine learning to overcome the high cost of numerical simulation, with some learned models achieving impressive speed-ups over classical solvers whilst maintaining accuracy.…

Machine Learning · Computer Science 2022-10-04 Meire Fortunato , Tobias Pfaff , Peter Wirnsberger , Alexander Pritzel , Peter Battaglia

Convolutional neural networks (CNNs) have been pivotal in various 2D image analysis tasks, including computer vision, image indexing and retrieval or semantic classification. Extending CNNs to 3D data such as point clouds and 3D meshes…

Computer Vision and Pattern Recognition · Computer Science 2025-01-08 Germain Bregeon , Marius Preda , Radu Ispas , Titus Zaharia

This work provides an architecture that incorporates depth and tactile information to create rich and accurate 3D models useful for robotic manipulation tasks. This is accomplished through the use of a 3D convolutional neural network (CNN).…

Robotics · Computer Science 2023-02-13 David Watkins , Jacob Varley , Peter Allen

Geometric deep learning has attracted significant attention in recent years, in part due to the availability of exotic data types for which traditional neural network architectures are not well suited. Our goal in this paper is to…

Computer Vision and Pattern Recognition · Computer Science 2020-03-09 Jose J. Bouza , Chun-Hao Yang , David Vaillancourt , Baba C. Vemuri

The recent surge of utilizing deep neural networks for geometric processing and shape modeling has opened up exciting avenues. However, there is a conspicuous lack of research efforts on using powerful neural representations to extend the…

Graphics · Computer Science 2026-01-27 Lei Yang , Yongqing Liang , Xin Li , Congyi Zhang , Guying Lin , Alla Sheffer , Scott Schaefer , John Keyser , Wenping Wang

Convolutional Neural Networks (CNNs) are commonly thought to recognise objects by learning increasingly complex representations of object shapes. Some recent studies suggest a more important role of image textures. We here put these…

Computer Vision and Pattern Recognition · Computer Science 2022-11-11 Robert Geirhos , Patricia Rubisch , Claudio Michaelis , Matthias Bethge , Felix A. Wichmann , Wieland Brendel

Graph Convolutional Networks (GCNs) have received increasing attention in the machine learning community for effectively leveraging both the content features of nodes and the linkage patterns across graphs in various applications. As…

Machine Learning · Computer Science 2021-01-01 Donghan Yu , Ruohong Zhang , Zhengbao Jiang , Yuexin Wu , Yiming Yang

Performing machine learning on structured data is complicated by the fact that such data does not have vectorial form. Therefore, multiple approaches have emerged to construct vectorial representations of structured data, from kernel and…

Machine Learning · Computer Science 2019-05-16 Benjamin Paaßen , Claudio Gallicchio , Alessio Micheli , Alessandro Sperduti

3D models are widely used in various industries, and mesh data has become an indispensable part of 3D modeling because of its unique advantages. Mesh data can provide an intuitive and practical expression of rich 3D information. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-05 Ling Gao , Zhenyu Shu , Shiqing Xin
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