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Partial differential equation (PDE) models and their associated variational energy formulations are often rotationally invariant by design. This ensures that a rotation of the input results in a corresponding rotation of the output, which…

Machine Learning · Computer Science 2022-03-21 Tobias Alt , Karl Schrader , Joachim Weickert , Pascal Peter , Matthias Augustin

Convolutional neural networks have recently shown excellent results in general object detection and many other tasks. Albeit very effective, they involve many user-defined design choices. In this paper we want to better understand these…

Computer Vision and Pattern Recognition · Computer Science 2015-08-19 Bojan Pepik , Rodrigo Benenson , Tobias Ritschel , Bernt Schiele

The low resolution of objects of interest in aerial images makes pedestrian detection and action detection extremely challenging tasks. Furthermore, using deep convolutional neural networks to process large images can be demanding in terms…

Computer Vision and Pattern Recognition · Computer Science 2018-07-17 Amir Soleimani , Nasser M. Nasrabadi

Invariance describes transformations that do not alter data's underlying semantics. Neural networks that preserve natural invariance capture good inductive biases and achieve superior performance. Hence, modern networks are handcrafted to…

Machine Learning · Computer Science 2023-09-18 Derek Xu , Yizhou Sun , Wei Wang

Recent work has shown deep learning can accelerate the prediction of physical dynamics relative to numerical solvers. However, limited physical accuracy and an inability to generalize under distributional shift limit its applicability to…

Machine Learning · Computer Science 2021-03-17 Rui Wang , Robin Walters , Rose Yu

Convolutional neural networks for computer vision are fairly intuitive. In a typical CNN used in image classification, the first layers learn edges, and the following layers learn some filters that can identify an object. But CNNs for…

Computation and Language · Computer Science 2018-04-04 Prudhvi Raj Dachapally , Srikanth Ramanam

Omnidirectional image (ODI) data is captured with a 360x180 field-of-view, which is much wider than the pinhole cameras and contains richer spatial information than the conventional planar images. Accordingly, omnidirectional vision has…

Computer Vision and Pattern Recognition · Computer Science 2022-05-25 Hao Ai , Zidong Cao , Jinjing Zhu , Haotian Bai , Yucheng Chen , Lin Wang

We present a 3D capsule module for processing point clouds that is equivariant to 3D rotations and translations, as well as invariant to permutations of the input points. The operator receives a sparse set of local reference frames,…

Machine Learning · Computer Science 2020-08-25 Yongheng Zhao , Tolga Birdal , Jan Eric Lenssen , Emanuele Menegatti , Leonidas Guibas , Federico Tombari

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

Recent investigations on rotation invariance for 3D point clouds have been devoted to devising rotation-invariant feature descriptors or learning canonical spaces where objects are semantically aligned. Examinations of learning frameworks…

Computer Vision and Pattern Recognition · Computer Science 2023-01-03 Jianhui Yu , Chaoyi Zhang , Weidong Cai

Convolutional neural networks are constructed with massive operations with different types and are highly computationally intensive. Among these operations, multiplication operation is higher in computational complexity and usually requires…

Computer Vision and Pattern Recognition · Computer Science 2025-09-18 Yulan Guo , Longguang Wang , Wendong Mao , Xiaoyu Dong , Yingqian Wang , Li Liu , Wei An

Point cloud learning has lately attracted increasing attention due to its wide applications in many areas, such as computer vision, autonomous driving, and robotics. As a dominating technique in AI, deep learning has been successfully used…

Computer Vision and Pattern Recognition · Computer Science 2020-06-24 Yulan Guo , Hanyun Wang , Qingyong Hu , Hao Liu , Li Liu , Mohammed Bennamoun

Steerable models can provide very general and flexible equivariance by formulating equivariance requirements in the language of representation theory and feature fields, which has been recognized to be effective for many vision tasks.…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Zhengyang Shen , Tao Hong , Qi She , Jinwen Ma , Zhouchen Lin

Nowadays, service robots are appearing more and more in our daily life. For this type of robot, open-ended object category learning and recognition is necessary since no matter how extensive the training data used for batch learning, the…

Robotics · Computer Science 2021-01-01 Hamidreza Kasaei

As many different 3D volumes could produce the same 2D x-ray image, inverting this process is challenging. We show that recent deep learning-based convolutional neural networks can solve this task. As the main challenge in learning is the…

Graphics · Computer Science 2018-11-29 Philipp Henzler , Volker Rasche , Timo Ropinski , Tobias Ritschel

In many computer vision tasks, we expect a particular behavior of the output with respect to rotations of the input image. If this relationship is explicitly encoded, instead of treated as any other variation, the complexity of the problem…

Computer Vision and Pattern Recognition · Computer Science 2018-07-06 Diego Marcos , Michele Volpi , Nikos Komodakis , Devis Tuia

Reproducibility of a deep-learning fully convolutional neural network is evaluated by training several times the same network on identical conditions (database, hyperparameters, hardware) with non-deterministic Graphics Processings Unit…

Machine Learning · Computer Science 2021-06-01 Wagner Gonçalves Pinto , Antonio Alguacil , Michaël Bauerheim

Recent work in machine learning shows that deep neural networks can be used to solve a wide variety of inverse problems arising in computational imaging. We explore the central prevailing themes of this emerging area and present a taxonomy…

Image and Video Processing · Electrical Eng. & Systems 2020-05-14 Gregory Ongie , Ajil Jalal , Christopher A. Metzler , Richard G. Baraniuk , Alexandros G. Dimakis , Rebecca Willett

Researchers have now achieved great success on dealing with 2D images using deep learning. In recent years, 3D computer vision and Geometry Deep Learning gain more and more attention. Many advanced techniques for 3D shapes have been…

Graphics · Computer Science 2020-04-16 Yun-Peng Xiao , Yu-Kun Lai , Fang-Lue Zhang , Chunpeng Li , Lin Gao

Effective recognition of spatial patterns and learning their hierarchy is crucial in modern spatial data analysis. Volumetric data applications seek techniques ensuring invariance not only to shifts but also to pattern rotations. While…

Computer Vision and Pattern Recognition · Computer Science 2025-03-21 Dmitrii Zhemchuzhnikov , Sergei Grudinin