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Symmetries are ubiquitous across all kinds of objects, whether in nature or in man-made creations. While these symmetries may seem intuitive to the human eye, detecting them with a machine is nontrivial due to the vast search space.…

Computer Vision and Pattern Recognition · Computer Science 2024-10-07 Jihyeon Je , Jiayi Liu , Guandao Yang , Boyang Deng , Shengqu Cai , Gordon Wetzstein , Or Litany , Leonidas Guibas

Symmetry, a central concept in understanding the laws of nature, has been used for centuries in physics, mathematics, and chemistry, to help make mathematical models tractable. Yet, despite its power, symmetry has not been used extensively…

Machine Learning · Statistics 2019-09-11 Doron L. Bergman

Over-segmentation of an image into superpixels has become a useful tool for solving various problems in image processing and computer vision. Reflection symmetry is quite prevalent in both natural and man-made objects and is an essential…

Computer Vision and Pattern Recognition · Computer Science 2018-08-13 Rajendra Nagar , Shanmuganathan Raman

Aberrations limit optical systems in many situations, for example when imaging in biological tissue. Machine learning offers novel ways to improve imaging under such conditions by learning inverse models of aberrations. Learning requires…

Optics · Physics 2021-04-30 Ivan Vishniakou , Johannes D. Seelig

Local feature matching enjoys wide-ranging applications in the realm of computer vision, encompassing domains such as image retrieval, 3D reconstruction, and object recognition. However, challenges persist in improving the accuracy and…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Shibiao Xu , Shunpeng Chen , Rongtao Xu , Changwei Wang , Peng Lu , Li Guo

Data transformations (e.g. rotations, reflections, and cropping) play an important role in self-supervised learning. Typically, images are transformed into different views, and neural networks trained on tasks involving these views produce…

Machine Learning · Computer Science 2022-02-04 Chen Qiu , Timo Pfrommer , Marius Kloft , Stephan Mandt , Maja Rudolph

Do object part localization methods produce bilaterally symmetric results on mirror images? Surprisingly not, even though state of the art methods augment the training set with mirrored images. In this paper we take a closer look into this…

Computer Vision and Pattern Recognition · Computer Science 2015-01-22 Heng Yang , Ioannis Patras

Image matching, which establishes correspondences between two-view images to recover 3D structure and camera geometry, serves as a cornerstone in computer vision and underpins a wide range of applications, including visual localization, 3D…

Computer Vision and Pattern Recognition · Computer Science 2025-06-06 Shihua Zhang , Zizhuo Li , Kaining Zhang , Yifan Lu , Yuxin Deng , Linfeng Tang , Xingyu Jiang , Jiayi Ma

The recent impressive results of deep learning-based methods on computer vision applications brought fresh air to the research and industrial community. This success is mainly due to the process that allows those methods to learn…

Computer Vision and Pattern Recognition · Computer Science 2021-07-13 Keiller Nogueira , Jocelyn Chanussot , Mauro Dalla Mura , Jefersson A. dos Santos

Image co-segmentation is important for its advantage of alleviating the ill-pose nature of image segmentation through exploring the correlation between related images. Many automatic image co-segmentation algorithms have been developed in…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Xiabi Liu , Xin Duan

Symmetry is a ubiquitous and fundamental property in the visual world, serving as a critical cue for perception and structure interpretation. This paper investigates the detection of 3D reflection symmetry from a single RGB image, and…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Xiang Li , Zixuan Huang , Anh Thai , James M. Rehg

Despite high-dimensionality of images, the sets of images of 3D objects have long been hypothesized to form low-dimensional manifolds. What is the nature of such manifolds? How do they differ across objects and object classes? Answering…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Benjamin Beaudett , Shenyuan Liang , Anuj Srivastava

Many objects are naturally symmetric, and this symmetry can be exploited to infer unseen 3D properties from a single 2D image. Recently, NeRD is proposed for accurate 3D mirror plane estimation from a single image. Despite the unprecedented…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Yancong Lin , Silvia-Laura Pintea , Jan van Gemert

In geometry processing, symmetry is a universal type of high-level structural information of 3D models and benefits many geometry processing tasks including shape segmentation, alignment, matching, and completion. Thus it is an important…

Graphics · Computer Science 2021-09-15 Lin Gao , Ling-Xiao Zhang , Hsien-Yu Meng , Yi-Hui Ren , Yu-Kun Lai , Leif Kobbelt

We present an automated method for finding hidden symmetries, defined as symmetries that become manifest only in a new coordinate system that must be discovered. Its core idea is to quantify asymmetry as violation of certain partial…

Machine Learning · Computer Science 2022-05-10 Ziming Liu , Max Tegmark

Detecting objects and estimating their pose remains as one of the major challenges of the computer vision research community. There exists a compromise between localizing the objects and estimating their viewpoints. The detector ideally…

Computer Vision and Pattern Recognition · Computer Science 2018-10-08 Daniel Oñoro-Rubio , Roberto J. López-Sastre , Carolina Redondo-Cabrera , Pedro Gil-Jiménez

Due to the abundance of 2D product images from the Internet, developing efficient and scalable algorithms to recover the missing depth information is central to many applications. Recent works have addressed the single-view depth estimation…

Computer Vision and Pattern Recognition · Computer Science 2016-06-13 Guilin Liu , Chao Yang , Zimo Li , Duygu Ceylan , Qixing Huang

Optical two-dimensional (2D) coherent spectroscopy excels in studying coupling and dynamics in complex systems. The dynamical information can be learned from lineshape analysis to extract the corresponding linewidth. However, it is usually…

Optics · Physics 2020-06-24 Srikanth Namuduri , Michael Titze , Shekhar Bhansali , Hebin Li

We explore whether Neural Networks (NNs) can {\it discover} the presence of symmetries as they learn to perform a task. For this, we train hundreds of NNs on a {\it decoy task} based on well-controlled Physics templates, where no…

Machine Learning · Computer Science 2021-07-21 Gabriela Barenboim , Johannes Hirn , Veronica Sanz

Recently, the influence of potentially present symmetries has begun to be studied in complex networks. A typical way of studying symmetries is via the automorphism group of the corresponding graph. Since complex networks are often subject…

Social and Information Networks · Computer Science 2025-02-26 David Hartman , Jaroslav Hlinka , Anna Pidnebesna , František Szczepanik