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We introduce tensor field neural networks, which are locally equivariant to 3D rotations, translations, and permutations of points at every layer. 3D rotation equivariance removes the need for data augmentation to identify features in…

Machine Learning · Computer Science 2018-05-22 Nathaniel Thomas , Tess Smidt , Steven Kearnes , Lusann Yang , Li Li , Kai Kohlhoff , Patrick Riley

Convolutional Neural Network (CNN) has been successfully applied on classification of both natural images and medical images but not yet been applied to differentiating patients with schizophrenia from healthy controls. Given the subtle,…

Computer Vision and Pattern Recognition · Computer Science 2020-03-20 Mengjiao Hu , Kang Sim , Juan Helen Zhou , Xudong Jiang , Cuntai Guan

We present a convolutional network that is equivariant to rigid body motions. The model uses scalar-, vector-, and tensor fields over 3D Euclidean space to represent data, and equivariant convolutions to map between such representations.…

Machine Learning · Computer Science 2018-10-30 Maurice Weiler , Mario Geiger , Max Welling , Wouter Boomsma , Taco Cohen

Many problems in computer vision and machine learning can be cast as learning on hypergraphs that represent higher-order relations. Recent approaches for hypergraph learning extend graph neural networks based on message passing, which is…

Machine Learning · Computer Science 2022-08-23 Jinwoo Kim , Saeyoon Oh , Sungjun Cho , Seunghoon Hong

Vision-language navigation (VLN) requires an agent to navigate through an 3D environment based on visual observations and natural language instructions. It is clear that the pivotal factor for successful navigation lies in the comprehensive…

Computer Vision and Pattern Recognition · Computer Science 2024-03-22 Rui Liu , Wenguan Wang , Yi Yang

With the advent of deep neural networks, learning-based approaches for 3D reconstruction have gained popularity. However, unlike for images, in 3D there is no canonical representation which is both computationally and memory efficient yet…

Computer Vision and Pattern Recognition · Computer Science 2019-05-01 Lars Mescheder , Michael Oechsle , Michael Niemeyer , Sebastian Nowozin , Andreas Geiger

We present a convolutional neural network for joint 3D shape prediction and viewpoint estimation from a single input image. During training, our network gets the learning signal from a silhouette of an object in the input image - a form of…

Robotics · Computer Science 2019-10-18 Oier Mees , Maxim Tatarchenko , Thomas Brox , Wolfram Burgard

3D shape representation and its processing have substantial effects on 3D shape recognition. The polygon mesh as a 3D shape representation has many advantages in computer graphics and geometry processing. However, there are still some…

Computer Vision and Pattern Recognition · Computer Science 2022-05-12 Mohsen Yavartanoo , Shih-Hsuan Hung , Reyhaneh Neshatavar , Yue Zhang , Kyoung Mu Lee

Regular group convolutional neural networks (G-CNNs) have been shown to increase model performance and improve equivariance to different geometrical symmetries. This work addresses the problem of SE(3), i.e., roto-translation equivariance,…

Computer Vision and Pattern Recognition · Computer Science 2023-07-21 Thijs P. Kuipers , Erik J. Bekkers

Establishing correspondences between 3D shapes is a fundamental task in 3D Computer Vision, typically addressed by matching local descriptors. Recently, a few attempts at applying the deep learning paradigm to the task have shown promising…

Computer Vision and Pattern Recognition · Computer Science 2019-09-17 Riccardo Spezialetti , Samuele Salti , Luigi Di Stefano

Unsupervised learning with generative models has the potential of discovering rich representations of 3D scenes. While geometric deep learning has explored 3D-structure-aware representations of scene geometry, these models typically require…

Computer Vision and Pattern Recognition · Computer Science 2020-01-30 Vincent Sitzmann , Michael Zollhöfer , Gordon Wetzstein

Vision transformers are effective deep learning models for vision tasks, including medical image segmentation. However, they lack efficiency and translational invariance, unlike convolutional neural networks (CNNs). To model long-range…

Image and Video Processing · Electrical Eng. & Systems 2023-08-15 Liam Chalcroft , Ruben Lourenço Pereira , Mikael Brudfors , Andrew S. Kayser , Mark D'Esposito , Cathy J. Price , Ioannis Pappas , John Ashburner

This paper studies monocular visual odometry (VO) problem. Most of existing VO algorithms are developed under a standard pipeline including feature extraction, feature matching, motion estimation, local optimisation, etc. Although some of…

Computer Vision and Pattern Recognition · Computer Science 2017-09-26 Sen Wang , Ronald Clark , Hongkai Wen , Niki Trigoni

3D vector graphics play a crucial role in various applications including 3D shape retrieval, conceptual design, and virtual reality interactions due to their ability to capture essential structural information with minimal representation.…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Chuang Wang , Haitao Zhou , Ling Luo , Qian Yu

Convolutional Neural Network (CNN) features have been successfully employed in recent works as an image descriptor for various vision tasks. But the inability of the deep CNN features to exhibit invariance to geometric transformations and…

Computer Vision and Pattern Recognition · Computer Science 2015-04-27 Konda Reddy Mopuri , R. Venkatesh Babu

This article deals with approximating steady-state particle-resolved fluid flow around a fixed particle of interest under the influence of randomly distributed stationary particles in a dispersed multiphase setup using Convolutional Neural…

Fluid Dynamics · Physics 2021-10-25 Bhargav Sriram Siddani , S. Balachandar , Ruogu Fang

As the development of deep neural networks, 3D object recognition is becoming increasingly popular in computer vision community. Many multi-view based methods are proposed to improve the category recognition accuracy. These approaches…

Computer Vision and Pattern Recognition · Computer Science 2019-06-18 Qi Xuan , Fuxian Li , Yi Liu , Yun Xiang

We propose Shift R-CNN, a hybrid model for monocular 3D object detection, which combines deep learning with the power of geometry. We adapt a Faster R-CNN network for regressing initial 2D and 3D object properties and combine it with a…

Computer Vision and Pattern Recognition · Computer Science 2019-05-27 Andretti Naiden , Vlad Paunescu , Gyeongmo Kim , ByeongMoon Jeon , Marius Leordeanu

Aiming at highly accurate object detection for connected and automated vehicles (CAVs), this paper presents a Deep Neural Network based 3D object detection model that leverages a three-stage feature extractor by developing a novel…

Computer Vision and Pattern Recognition · Computer Science 2022-12-20 Yiming Hou , Mahdi Rezaei , Richard Romano

Neural implicit functions have achieved impressive results for reconstructing 3D shapes from single images. However, the image features for describing 3D point samplings of implicit functions are less effective when significant variations…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Yixin Zhuang , Yunzhe Liu , Yujie Wang , Baoquan Chen