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Symmetry is a fundamental concept that has been extensively studied, yet detecting it in complex scenes remains a significant challenge in computer vision. Recent heatmap-based approaches can localize potential regions of symmetry axes but…

Computer Vision and Pattern Recognition · Computer Science 2025-10-16 Wongyun Yu , Ahyun Seo , Minsu Cho

The task of reflection symmetry detection remains challenging due to significant variations and ambiguities of symmetry patterns in the wild. Furthermore, since the local regions are required to match in reflection for detecting a symmetry…

Computer Vision and Pattern Recognition · Computer Science 2021-09-06 Ahyun Seo , Woohyeon Shim , Minsu Cho

Symmetry detection and discrimination are of fundamental meaning in science, technology, and engineering. This paper introduces reflection invariants and defines the directional moment to detect symmetry for shape analysis and object…

Computer Vision and Pattern Recognition · Computer Science 2017-06-02 Erbo Li , Hua Li

Automated symmetry detection is still a difficult task in 2021. However, it has applications in computer vision, and it also plays an important part in understanding art. This paper focuses on aiding the latter by comparing different…

Computer Vision and Pattern Recognition · Computer Science 2022-01-19 Koen Ponse , Anna V. Kononova , Maria Loleyt , Bas van Stein

We study the problem of symmetry detection of 3D shapes from single-view RGB-D images, where severely missing data renders geometric detection approach infeasible. We propose an end-to-end deep neural network which is able to predict both…

Computer Vision and Pattern Recognition · Computer Science 2020-09-01 Yifei Shi , Junwen Huang , Hongjia Zhang , Xin Xu , Szymon Rusinkiewicz , Kai Xu

From early image processing to modern computational imaging, successful models and algorithms have relied on a fundamental property of natural signals: symmetry. Here symmetry refers to the invariance property of signal sets to…

Signal Processing · Electrical Eng. & Systems 2022-09-07 Dongdong Chen , Mike Davies , Matthias J. Ehrhardt , Carola-Bibiane Schönlieb , Ferdia Sherry , Julián Tachella

Reflectional symmetry is ubiquitous in nature. While extrinsic reflectional symmetry can be easily parametrized and detected, intrinsic symmetry is much harder due to the high solution space. Previous works usually solve this problem by…

Graphics · Computer Science 2019-11-04 Yi-Ling Qiao , Lin Gao , Shu-Zhi Liu , Ligang Liu , Yu-Kun Lai , Xilin Chen

Extracting discriminative local features that are invariant to imaging variations is an integral part of establishing correspondences between images. In this work, we introduce a self-supervised learning framework to extract discriminative…

Computer Vision and Pattern Recognition · Computer Science 2023-03-29 Jongmin Lee , Byungjin Kim , Seungwook Kim , Minsu Cho

Humans take advantage of real world symmetries for various tasks, yet capturing their superb symmetry perception mechanism with a computational model remains elusive. Motivated by a new study demonstrating the extremely high inter-person…

Computer Vision and Pattern Recognition · Computer Science 2017-08-29 Christopher Funk , Yanxi Liu

Equivariant neural networks incorporate symmetries into their architecture, achieving higher generalization performance. However, constructing equivariant neural networks typically requires prior knowledge of data types and symmetries,…

Machine Learning · Computer Science 2024-10-15 Lexiang Hu , Yikang Li , Zhouchen Lin

Rotational symmetry is a defining feature of many tomography systems, including computed tomography (CT) and emission computed tomography (ECT), where detectors are arranged in a circular or periodically rotating configuration. This study…

Medical Physics · Physics 2025-02-05 Yaogong Zhang , Fang-Fang Yin , Lei Zhang

We present a convolutional approach to reflection symmetry detection in 2D. Our model, built on the products of complex-valued wavelet convolutions, simplifies previous edge-based pairwise methods. Being parameter-centered, as opposed to…

Computer Vision and Pattern Recognition · Computer Science 2016-09-20 Marcelo Cicconet , Vighnesh Birodkar , Mads Lund , Michael Werman , Davi Geiger

Symmetry is an important composition feature by investigating similar sides inside an image plane. It has a crucial effect to recognize man-made or nature objects within the universe. Recent symmetry detection approaches used a smoothing…

Computer Vision and Pattern Recognition · Computer Science 2017-04-24 Mohamed Elawady , Olivier Alata , Christophe Ducottet , Cecile Barat , Philippe Colantoni

Symmetry is a key feature observed in nature (from flowers and leaves, to butterflies and birds) and in human-made objects (from paintings and sculptures, to manufactured objects and architectural design). Rotational, translational, and…

Computer Vision and Pattern Recognition · Computer Science 2019-08-28 Felice De Luca , Md Iqbal Hossain , Stephen Kobourov

Recent advances have shown that symmetry, a structural prior that most objects exhibit, can support a variety of single-view 3D understanding tasks. However, detecting 3D symmetry from an image remains a challenging task. Previous works…

Computer Vision and Pattern Recognition · Computer Science 2021-05-10 Yichao Zhou , Shichen Liu , Yi Ma

Detecting the occlusion from stereo images or video frames is important to many computer vision applications. Previous efforts focus on bundling it with the computation of disparity or optical flow, leading to a chicken-and-egg problem. In…

Computer Vision and Pattern Recognition · Computer Science 2018-09-25 Ang Li , Zejian Yuan

In this paper we observe that information theoretical concepts are valuable tools for extracting information from images and, in particular, information on image symmetries. It is shown that the problem of detecting reflectional and…

Computer Vision and Pattern Recognition · Computer Science 2017-03-14 Agata Migalska , JP Lewis

We propose an algorithm to detect approximate reflection symmetry present in a set of volumetrically distributed points belonging to $\mathbb{R}^d$ containing a distorted reflection symmetry pattern. We pose the problem of detecting…

Computer Vision and Pattern Recognition · Computer Science 2019-01-16 Rajendra Nagar , Shanmuganathan Raman

We introduce the first learning-based dense matching algorithm, termed Equirectangular Projection-Oriented Dense Kernelized Feature Matching (EDM), specifically designed for omnidirectional images. Equirectangular projection (ERP) images,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-03 Dongki Jung , Jaehoon Choi , Yonghan Lee , Somi Jeong , Taejae Lee , Dinesh Manocha , Suyong Yeon

Incorporating symmetries can lead to highly data-efficient and generalizable models by defining equivalence classes of data samples related by transformations. However, characterizing how transformations act on input data is often…

Machine Learning · Computer Science 2022-07-04 Jung Yeon Park , Ondrej Biza , Linfeng Zhao , Jan Willem van de Meent , Robin Walters
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