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We develop a new meshfree geometric multilevel (MGM) method for solving linear systems that arise from discretizing elliptic PDEs on surfaces represented by point clouds. The method uses a Poisson disk sampling-type technique for coarsening…

Numerical Analysis · Mathematics 2022-04-14 Grady B. Wright , Andrew M. Jones , Varun Shankar

Mechanical metamaterials enable precise control over structural properties, but their design method remains challenging due to their complex structure. Although additive manufacturing has expanded geometric freedom, navigating this vast and…

Soft Condensed Matter · Physics 2025-09-18 Kijung Kim , Seungwook Hong , Wonjun Jung , Wooseok Kim , Namjung Kim , Howon Lee

In this paper, we introduce a novel method for comparing 3D point clouds, a critical task in various machine learning applications. By interpreting point clouds as samples from underlying probability density functions, the statistical…

Differential Geometry · Mathematics 2024-05-09 Amit Vishwakarma , KS Subrahamanian Moosath

In this work, we present HyperFlow - a novel generative model that leverages hypernetworks to create continuous 3D object representations in a form of lightweight surfaces (meshes), directly out of point clouds. Efficient object…

Computer Vision and Pattern Recognition · Computer Science 2020-06-17 Przemysław Spurek , Maciej Zięba , Jacek Tabor , Tomasz Trzciński

We present a novel framework for mesh reconstruction from unstructured point clouds by taking advantage of the learned visibility of the 3D points in the virtual views and traditional graph-cut based mesh generation. Specifically, we first…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Shuang Song , Zhaopeng Cui , Rongjun Qin

Representing shapes as level sets of neural networks has been recently proved to be useful for different shape analysis and reconstruction tasks. So far, such representations were computed using either: (i) pre-computed implicit shape…

Machine Learning · Computer Science 2020-07-10 Amos Gropp , Lior Yariv , Niv Haim , Matan Atzmon , Yaron Lipman

We introduce MeshGPT, a new approach for generating triangle meshes that reflects the compactness typical of artist-created meshes, in contrast to dense triangle meshes extracted by iso-surfacing methods from neural fields. Inspired by…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Yawar Siddiqui , Antonio Alliegro , Alexey Artemov , Tatiana Tommasi , Daniele Sirigatti , Vladislav Rosov , Angela Dai , Matthias Nießner

Man-made objects usually exhibit descriptive curved features (i.e., curve networks). The curve network of an object conveys its high-level geometric and topological structure. We present a framework for extracting feature curve networks…

Graphics · Computer Science 2016-03-30 Yuanhao Cao , Liangliang Nan , Peter Wonka

Representation and generative learning, as reconstruction-based methods, have demonstrated their potential for mutual reinforcement across various domains. In the field of point cloud processing, although existing studies have adopted…

Computer Vision and Pattern Recognition · Computer Science 2024-08-16 Hongliang Zeng , Ping Zhang , Fang Li , Jiahua Wang , Tingyu Ye , Pengteng Guo

Point clouds, being the simple and compact representation of surface geometry of 3D objects, have gained increasing popularity with the evolution of deep learning networks for classification and segmentation tasks. Unlike human, teaching…

Computer Vision and Pattern Recognition · Computer Science 2021-01-29 Sindhu Hegde , Shankar Gangisetty

Point cloud upsampling aims to generate dense and uniformly distributed point sets from sparse point clouds. Existing point cloud upsampling methods typically approach the task as an interpolation problem. They achieve upsampling by…

Image and Video Processing · Electrical Eng. & Systems 2025-02-28 Ziming Nie , Qiao Wu , Chenlei Lv , Siwen Quan , Zhaoshuai Qi , Muze Wang , Jiaqi Yang

The core of self-supervised point cloud learning lies in setting up appropriate pretext tasks, to construct a pre-training framework that enables the encoder to perceive 3D objects effectively. In this paper, we integrate two prevalent…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Yun Liu , Peng Li , Xuefeng Yan , Liangliang Nan , Bing Wang , Honghua Chen , Lina Gong , Wei Zhao , Mingqiang Wei

The Indoor Geometry Generator (IGG) is able to generate automatically simplified indoor geometry and its associated unstructured mesh for Computational Fluid Dynamics (CFD) simulations purposes given very simple user inputs. A large number…

Fluid Dynamics · Physics 2023-10-25 Laetitia Mottet

The popularisation of acquisition devices capable of capturing volumetric information such as LiDAR scans and depth cameras has lead to an increased interest in point clouds as an imaging modality. Due to the high amount of data needed for…

Image and Video Processing · Electrical Eng. & Systems 2022-01-19 Davi Lazzarotto , Touradj Ebrahimi

Point set is a flexible and lightweight representation widely used for 3D deep learning. However, their discrete nature prevents them from representing continuous and fine geometry, posing a major issue for learning-based shape generation.…

Computer Vision and Pattern Recognition · Computer Science 2021-04-07 Shi-Lin Liu , Hao-Xiang Guo , Hao Pan , Peng-Shuai Wang , Xin Tong , Yang Liu

With the increased availability of 3D scanning technology, point clouds are moving into the focus of computer vision as a rich representation of everyday scenes. However, they are hard to handle for machine learning algorithms due to their…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Sergey Prokudin , Christoph Lassner , Javier Romero

Brain graph synthesis marked a new era for predicting a target brain graph from a source one without incurring the high acquisition cost and processing time of neuroimaging data. However, existing multi-modal graph synthesis frameworks have…

Neurons and Cognition · Quantitative Biology 2021-07-15 Islem Mhiri , Ahmed Nebli , Mohamed Ali Mahjoub , Islem Rekik

Existing point cloud modeling datasets primarily express the modeling precision by pose or trajectory precision rather than the point cloud modeling effect itself. Under this demand, we first independently construct a set of LiDAR system…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Changjie Qiu , Zhiyong Wang , Xiuhong Lin , Yu Zang , Cheng Wang , Weiquan Liu

For grasp network algorithms, generating grasp datasets for a large number of 3D objects is a crucial task. However, generating grasp datasets for hundreds of objects can be very slow and consume a lot of storage resources, which hinders…

Robotics · Computer Science 2023-03-24 Xiao Hu , HangJie Mo , XiangSheng Chen , JinLiang Chen , Xiangyu Chen

We introduce PolyDiff, the first diffusion-based approach capable of directly generating realistic and diverse 3D polygonal meshes. In contrast to methods that use alternate 3D shape representations (e.g. implicit representations), our…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Antonio Alliegro , Yawar Siddiqui , Tatiana Tommasi , Matthias Nießner