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Deep learning has received much attention lately due to the impressive empirical performance achieved by training algorithms. Consequently, a need for a better theoretical understanding of these problems has become more evident in recent…

Machine Learning · Computer Science 2022-03-03 Daniel Bienstock , Gonzalo Muñoz , Sebastian Pokutta

Graphs as a type of data structure have recently attracted significant attention. Representation learning of geometric graphs has achieved great success in many fields including molecular, social, and financial networks. It is natural to…

Machine Learning · Computer Science 2021-07-08 Tian Xia , Wei-Shinn Ku

We propose a local-to-global representation learning algorithm for 3D point cloud data, which is appropriate to handle various geometric transformations, especially rotation, without explicit data augmentation with respect to the…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Seohyun Kim , Jaeyoo Park , Bohyung Han

Implicit 3D surface reconstruction of an object from its partial and noisy 3D point cloud scan is the classical geometry processing and 3D computer vision problem. In the literature, various 3D shape representations have been developed,…

Computer Vision and Pattern Recognition · Computer Science 2024-02-13 Atharva Pandey , Vishal Yadav , Rajendra Nagar , Santanu Chaudhury

Mesh is an important and powerful type of data for 3D shapes and widely studied in the field of computer vision and computer graphics. Regarding the task of 3D shape representation, there have been extensive research efforts concentrating…

Computer Vision and Pattern Recognition · Computer Science 2018-11-29 Yutong Feng , Yifan Feng , Haoxuan You , Xibin Zhao , Yue Gao

In document image rectification, there exist rich geometric constraints between the distorted image and the ground truth one. However, such geometric constraints are largely ignored in existing advanced solutions, which limits the…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Hao Feng , Wengang Zhou , Jiajun Deng , Yuechen Wang , Houqiang Li

Robotic grasping of house-hold objects has made remarkable progress in recent years. Yet, human grasps are still difficult to synthesize realistically. There are several key reasons: (1) the human hand has many degrees of freedom (more than…

Computer Vision and Pattern Recognition · Computer Science 2020-11-30 Korrawe Karunratanakul , Jinlong Yang , Yan Zhang , Michael Black , Krikamol Muandet , Siyu Tang

Real-world graphs naturally exhibit hierarchical or cyclical structures that are unfit for the typical Euclidean space. While there exist graph neural networks that leverage hyperbolic or spherical spaces to learn representations that embed…

Machine Learning · Computer Science 2023-09-11 Sungjun Cho , Seunghyuk Cho , Sungwoo Park , Hankook Lee , Honglak Lee , Moontae Lee

Graph representation learning has made major strides over the past decade. However, in many relational domains, the input data are not suited for simple graph representations as the relationships between entities go beyond pairwise…

Machine Learning · Computer Science 2021-01-20 Balasubramaniam Srinivasan , Da Zheng , George Karypis

One challenge that remains open in 3D deep learning is how to efficiently represent 3D data to feed deep networks. Recent works have relied on volumetric or point cloud representations, but such approaches suffer from a number of issues…

Computer Vision and Pattern Recognition · Computer Science 2019-01-25 Jhony K. Pontes , Chen Kong , Sridha Sridharan , Simon Lucey , Anders Eriksson , Clinton Fookes

Recent advances in 3D perception have shown impressive progress in understanding geometric structures of 3Dshapes and even scenes. Inspired by these advances in geometric understanding, we aim to imbue image-based perception with…

Computer Vision and Pattern Recognition · Computer Science 2021-12-21 Ji Hou , Saining Xie , Benjamin Graham , Angela Dai , Matthias Nießner

3D geometry is a very informative cue when interacting with and navigating an environment. This writing proposes a new approach to 3D reconstruction and scene understanding, which implicitly learns 3D geometry from depth maps pairing a deep…

Computer Vision and Pattern Recognition · Computer Science 2018-08-22 Dario Rethage , Federico Tombari , Felix Achilles , Nassir Navab

During the last years, many advances have been made in tasks like3D model retrieval, 3D model classification, and 3D model segmentation.The typical 3D representations such as point clouds, voxels, and poly-gon meshes are mostly suitable for…

Computer Vision and Pattern Recognition · Computer Science 2021-03-08 Arniel Labrada , Benjamin Bustos , Ivan Sipiran

Surface meshes are widely used shape representations and capture finer geometry data than point clouds or volumetric grids, but are challenging to apply CNNs directly due to their non-Euclidean structure. We use parallel frames on surface…

Computer Vision and Pattern Recognition · Computer Science 2020-06-15 Yuqi Yang , Shilin Liu , Hao Pan , Yang Liu , Xin Tong

Polygonal meshes are ubiquitous, but have only played a relatively minor role in the deep learning revolution. State-of-the-art neural generative models for 3D shapes learn implicit functions and generate meshes via expensive iso-surfacing.…

Computer Vision and Pattern Recognition · Computer Science 2021-07-05 Zhiqin Chen , Andrea Tagliasacchi , Hao Zhang

Both humans and deep learning models can recognize objects from 3D shapes depicted with sparse visual information, such as a set of points randomly sampled from the surfaces of 3D objects (termed a point cloud). Although deep learning…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Shuhao Fu , Philip J. Kellman , Hongjing Lu

This paper introduces a 3D shape generative model based on deep neural networks. A new image-like (i.e., tensor) data representation for genus-zero 3D shapes is devised. It is based on the observation that complicated shapes can be well…

Computer Vision and Pattern Recognition · Computer Science 2019-03-05 Heli Ben-Hamu , Haggai Maron , Itay Kezurer , Gal Avineri , Yaron Lipman

Recent research on learnable neural representations has been widely adopted in the field of 3D scene reconstruction and neural rendering applications. However, traditional feature grid representations often suffer from substantial memory…

Graphics · Computer Science 2026-04-30 Rui Su , Honghao Dong , Haojie Jin , Yisong Chen , Guoping Wang , Sheng Li

We investigate the problem of learning to generate 3D parametric surface representations for novel object instances, as seen from one or more views. Previous work on learning shape reconstruction from multiple views uses discrete…

Computer Vision and Pattern Recognition · Computer Science 2020-08-19 Jiahui Lei , Srinath Sridhar , Paul Guerrero , Minhyuk Sung , Niloy Mitra , Leonidas J. Guibas

Solving geometric tasks involving point clouds by using machine learning is a challenging problem. Standard feed-forward neural networks combine linear or, if the bias parameter is included, affine layers and activation functions. Their…

Machine Learning · Computer Science 2022-06-15 Pavlo Melnyk , Michael Felsberg , Mårten Wadenbäck