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Convolutional Neural Networks (CNN) offer state of the art performance in various computer vision tasks. Many of those tasks require different subtypes of affine invariances (scale, rotational, translational) to image transformations.…

Computer Vision and Pattern Recognition · Computer Science 2023-10-13 Facundo Manuel Quiroga , Franco Ronchetti , Laura Lanzarini , Aurelio Fernandez-Bariviera

Although group convolutional networks are able to learn powerful representations based on symmetry patterns, they lack explicit means to learn meaningful relationships among them (e.g., relative positions and poses). In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2020-07-01 David W. Romero , Erik J. Bekkers , Jakub M. Tomczak , Mark Hoogendoorn

Convolutional neural networks (CNNs) are one of the most successful computer vision systems to solve object recognition. Furthermore, CNNs have major applications in understanding the nature of visual representations in the human brain. Yet…

Computer Vision and Pattern Recognition · Computer Science 2022-12-13 Amr Farahat , Felix Effenberger , Martin Vinck

We propose a Convolutional Neural Network (CNN)-based model "RotationNet," which takes multi-view images of an object as input and jointly estimates its pose and object category. Unlike previous approaches that use known viewpoint labels…

Computer Vision and Pattern Recognition · Computer Science 2018-03-26 Asako Kanezaki , Yasuyuki Matsushita , Yoshifumi Nishida

Convolutional neural networks (CNNs) are essential tools for computer vision tasks, but they lack traditionally desired properties of extracted features that could further improve model performance, e.g., rotational equivariance. Such…

Computer Vision and Pattern Recognition · Computer Science 2025-01-17 Yuexi Du , Jiazhen Zhang , Tal Zeevi , Nicha C. Dvornek , John A. Onofrey

In this paper, we propose a method for image-set classification based on convex cone models, focusing on the effectiveness of convolutional neural network (CNN) features as inputs. CNN features have non-negative values when using the…

Computer Vision and Pattern Recognition · Computer Science 2018-06-01 Naoya Sogi , Taku Nakayama , Kazuhiro Fukui

Feature extraction with convolutional neural networks (CNNs) is a popular method to represent images for machine learning tasks. These representations seek to capture global image content, and ideally should be independent of geometric…

Machine Learning · Computer Science 2022-03-03 Jake Lee , Junfeng Yang , Zhangyang Wang

The convolutional layers of standard convolutional neural networks (CNNs) are equivariant to translation. However, the convolution and fully-connected layers are not equivariant or invariant to other affine geometric transformations.…

Computer Vision and Pattern Recognition · Computer Science 2022-09-23 Jaspreet Singh , Chandan Singh

We consider the problem of comparing the similarity of image sets with variable-quantity, quality and un-ordered heterogeneous images. We use feature restructuring to exploit the correlations of both inner$\&$inter-set images. Specifically,…

Computer Vision and Pattern Recognition · Computer Science 2019-08-06 Xiaofeng Liu , Zhenhua Guo , Site Li , Lingsheng Kong , Ping Jia , Jane You , B. V. K. Kumar

This paper investigates the super-resolution (SR) of velocity fields in two-dimensional fluids from the viewpoint of rotational equivariance. SR refers to techniques that estimate high-resolution images from those in low resolution and has…

Fluid Dynamics · Physics 2022-10-26 Yuki Yasuda , Ryo Onishi

Deep Convolutional Neural Networks (CNNs) are empirically known to be invariant to moderate translation but not to rotation in image classification. This paper proposes a deep CNN model, called CyCNN, which exploits polar mapping of input…

Computer Vision and Pattern Recognition · Computer Science 2020-07-23 Jinpyo Kim , Wooekun Jung , Hyungmo Kim , Jaejin Lee

Recent attempts at introducing rotation invariance or equivariance in 3D deep learning approaches have shown promising results, but these methods still struggle to reach the performances of standard 3D neural networks. In this work we study…

Computer Vision and Pattern Recognition · Computer Science 2020-12-09 Hugues Thomas

Locally Rotation Invariant (LRI) image analysis was shown to be fundamental in many applications and in particular in medical imaging where local structures of tissues occur at arbitrary rotations. LRI constituted the cornerstone of several…

Computer Vision and Pattern Recognition · Computer Science 2020-03-20 Vincent Andrearczyk , Julien Fageot , Valentin Oreiller , Xavier Montet , Adrien Depeursinge

Unsupervised learning enables modeling complex images without the need for annotations. The representation learned by such models can facilitate any subsequent analysis of large image datasets. However, some generative factors that cause…

Image and Video Processing · Electrical Eng. & Systems 2020-08-27 Maxime W. Lafarge , Josien P. W. Pluim , Mitko Veta

The topic of achieving rotational invariance in convolutional neural networks (CNNs) has gained considerable attention recently, as this invariance is crucial for many computer vision tasks such as image classification and matching. In this…

Computer Vision and Pattern Recognition · Computer Science 2023-05-25 Hanlin Mo , Guoying Zhao

Convolutional Neural Networks (CNNs) have recently been shown to excel at performing visual place recognition under changing appearance and viewpoint. Previously, place recognition has been improved by intelligently selecting relevant…

Robotics · Computer Science 2018-10-31 Stephen Hausler , Adam Jacobson , Michael Milford

Translating or rotating an input image should not affect the results of many computer vision tasks. Convolutional neural networks (CNNs) are already translation equivariant: input image translations produce proportionate feature map…

Computer Vision and Pattern Recognition · Computer Science 2017-04-12 Daniel E. Worrall , Stephan J. Garbin , Daniyar Turmukhambetov , Gabriel J. Brostow

There have been many discriminative learning methods using convolutional neural networks (CNN) for several image restoration problems, which learn the mapping function from a degraded input to the clean output. In this letter, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2017-06-13 Byeongyong Ahn , Nam Ik Cho

Objects in aerial images have greater variations in scale and orientation than in typical images, so detection is more difficult. Convolutional neural networks use a variety of frequency- and orientation-specific kernels to identify objects…

Computer Vision and Pattern Recognition · Computer Science 2021-11-08 Guo-Ye Yang , Xiang-Li Li , Ralph R. Martin , Shi-Min Hu

We propose a semantic segmentation model that exploits rotation and reflection symmetries. We demonstrate significant gains in sample efficiency due to increased weight sharing, as well as improvements in robustness to symmetry…

Computer Vision and Pattern Recognition · Computer Science 2018-07-03 Jasper Linmans , Jim Winkens , Bastiaan S. Veeling , Taco S. Cohen , Max Welling