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Topological Data Analysis (TDA) allows us to extract powerful topological and higher-order information on the global shape of a data set or point cloud. Tools like Persistent Homology or the Euler Transform give a single complex description…

Algebraic Topology · Mathematics 2025-11-04 Vincent P. Grande , Michael T. Schaub

In this paper, we present a novel deep method to reconstruct a point cloud of an object from a single still image. Prior arts in the field struggle to reconstruct an accurate and scalable 3D model due to either the inefficient and expensive…

Computer Vision and Pattern Recognition · Computer Science 2019-11-18 Anh-Duc Nguyen , Seonghwa Choi , Woojae Kim , Sanghoon Lee

Real-time simulation of elastic structures is essential in many applications, from computer-guided surgical interventions to interactive design in mechanical engineering. The Finite Element Method is often used as the numerical method of…

Machine Learning · Computer Science 2021-09-21 Alban Odot , Ryadh Haferssas , Stéphane Cotin

Exploring contextual information in the local region is important for shape understanding and analysis. Existing studies often employ hand-crafted or explicit ways to encode contextual information of local regions. However, it is hard to…

Computer Vision and Pattern Recognition · Computer Science 2018-11-16 Xinhai Liu , Zhizhong Han , Yu-Shen Liu , Matthias Zwicker

We introduce Point2Skeleton, an unsupervised method to learn skeletal representations from point clouds. Existing skeletonization methods are limited to tubular shapes and the stringent requirement of watertight input, while our method aims…

Computer Vision and Pattern Recognition · Computer Science 2021-04-08 Cheng Lin , Changjian Li , Yuan Liu , Nenglun Chen , Yi-King Choi , Wenping Wang

Accurately modeling the mechanical behavior of materials is crucial for numerous engineering applications. The quality of these models depends directly on the accuracy of the constitutive law that defines the stress-strain relation.…

Materials Science · Physics 2025-03-18 Zhichao Han , Mohit Pundir , Olga Fink , David S. Kammer

Recently Transformer-based models have advanced point cloud understanding by leveraging self-attention mechanisms, however, these methods often overlook latent information in less prominent regions, leading to increased sensitivity to…

Computer Vision and Pattern Recognition · Computer Science 2024-11-25 Yi Wang , Jiaze Wang , Ziyu Guo , Renrui Zhang , Donghao Zhou , Guangyong Chen , Anfeng Liu , Pheng-Ann Heng

A physics-informed neural network is presented for poroelastic problems with coupled flow and deformation processes. The governing equilibrium and mass balance equations are discussed and specific derivations for two-dimensional cases are…

Computational Engineering, Finance, and Science · Computer Science 2020-10-30 Yared W. Bekele

Plasticity modelling has long been based on phenomenological models based on ad-hoc assuption of constitutive relations, which are then fitted to limited data. Other work is based on the consideration of physical mechanisms which seek to…

Materials Science · Physics 2022-06-06 Stefan Hiemer , Haidong Fan , Michael Zaiser

Commonly used linear and nonlinear constitutive material models in deformation simulation contain many simplifications and only cover a tiny part of possible material behavior. In this work we propose a framework for learning customized…

Graphics · Computer Science 2020-10-27 Bin Wang , Yuanmin Deng , Paul Kry , Uri Ascher , Hui Huang , Baoquan Chen

This paper presents a learning-based approach for accurately estimating the 3D shape of flexible continuum robots subjected to external loads. The proposed method introduces a spatiotemporal neural network architecture that fuses…

Robotics · Computer Science 2025-10-28 Enyi Wang , Zhen Deng , Chuanchuan Pan , Bingwei He , Jianwei Zhang

Point cloud processing methods exploit local point features and global context through aggregation which does not explicity model the internal correlations between local and global features. To address this problem, we propose full point…

Computer Vision and Pattern Recognition · Computer Science 2023-03-09 Yong He , Hongshan Yu , Zhengeng Yang , Xiaoyan Liu , Wei Sun , Ajmal Mian

Point cloud analysis is an area of increasing interest due to the development of 3D sensors that are able to rapidly measure the depth of scenes accurately. Unfortunately, applying deep learning techniques to perform point cloud analysis is…

Computer Vision and Pattern Recognition · Computer Science 2021-01-05 Junming Zhang , Ming-Yuan Yu , Ram Vasudevan , Matthew Johnson-Roberson

In view of the difficulty in reconstructing object details in point cloud completion, we propose a shape prior learning method for object completion. The shape priors include geometric information in both complete and the partial point…

Computer Vision and Pattern Recognition · Computer Science 2021-07-16 Xiaogang Wang , Marcelo H Ang , Gim Hee Lee

In this paper, we present DV-Matcher, a novel learning-based framework for estimating dense correspondences between non-rigidly deformable point clouds. Learning directly from unstructured point clouds without meshing or manual labelling,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Zhangquan Chen , Puhua Jiang , Ruqi Huang

Recent years have witnessed the great success of deep learning on various point cloud analysis tasks, e.g., classification and semantic segmentation. Since point cloud data is sparse and irregularly distributed, one key issue for point…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Shanshan Zhao , Mingming Gong , Xi Li , Dacheng Tao

Point cloud completion aims to reconstruct the complete 3D shape from incomplete point clouds, and it is crucial for tasks such as 3D object detection and segmentation. Despite the continuous advances in point cloud analysis techniques,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Yi Zhong , Weize Quan , Dong-ming Yan , Jie Jiang , Yingmei Wei

In this paper, we propose a simple yet effective method to represent point clouds as sets of samples drawn from a cloud-specific probability distribution. This interpretation matches intrinsic characteristics of point clouds: the number of…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Michał Stypułkowski , Kacper Kania , Maciej Zamorski , Maciej Zięba , Tomasz Trzciński , Jan Chorowski

Soft-tissue deformation remains a major limitation in image-guided neurosurgery, where intra-operative anatomy can deviate substantially from pre-operative imaging due to brain shift, compromising navigation accuracy and surgical safety.…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Eashrat Jahan Muniya , Gernot Kronreif , Ander Biguri , Wolfgang Birkfellner , Sepideh Hatamikia

Recent work has shown that object-centric representations can greatly help improve the accuracy of learning dynamics while also bringing interpretability. In this work, we take this idea one step further, ask the following question: "can…

Computer Vision and Pattern Recognition · Computer Science 2024-07-04 Sanket Gandhi , Atul , Samanyu Mahajan , Vishal Sharma , Rushil Gupta , Arnab Kumar Mondal , Parag Singla