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Symmetry is present in nature and science. In image processing, kernels for spatial filtering possess some symmetry (e.g. Sobel operators, Gaussian, Laplacian). Convolutional layers in artificial feed-forward neural networks have typically…

Computer Vision and Pattern Recognition · Computer Science 2019-06-12 Gregory Dzhezyan , Hubert Cecotti

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

Recognizing symmetries in data allows for significant boosts in neural network training. In many cases, however, the underlying symmetry is present only in an idealized dataset, and is broken in the training data, due to effects such as…

High Energy Physics - Experiment · Physics 2023-11-13 Edmund Witkowski , Daniel Whiteson

3D reconstruction from a single RGB image is a challenging problem in computer vision. Previous methods are usually solely data-driven, which lead to inaccurate 3D shape recovery and limited generalization capability. In this work, we focus…

Computer Vision and Pattern Recognition · Computer Science 2020-06-18 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

Recent success in training deep neural networks have prompted active investigation into the features learned on their intermediate layers. Such research is difficult because it requires making sense of non-linear computations performed by…

Machine Learning · Computer Science 2016-03-01 Yixuan Li , Jason Yosinski , Jeff Clune , Hod Lipson , John Hopcroft

Many man-made objects are characterised by a shape that is symmetric along one or more planar directions. Estimating the location and orientation of such symmetry planes can aid many tasks such as estimating the overall orientation of an…

Computer Vision and Pattern Recognition · Computer Science 2021-07-01 Mihaela Cătălina Stoian , Tommaso Cavallari

The success of kernel-based learning methods depend on the choice of kernel. Recently, kernel learning methods have been proposed that use data to select the most appropriate kernel, usually by combining a set of base kernels. We introduce…

Machine Learning · Computer Science 2011-12-21 Arash Afkanpour , Csaba Szepesvari , Michael Bowling

Standard convolutions are prevalent in image processing and deep learning, but their fixed kernels limits adaptability. Several deformation strategies of the reference kernel grid have been proposed. Yet, they lack a unified theoretical…

Computer Vision and Pattern Recognition · Computer Science 2025-07-31 Thomas Dagès , Michael Lindenbaum , Alfred M. Bruckstein

Data similarity is a key concept in many data-driven applications. Many algorithms are sensitive to similarity measures. To tackle this fundamental problem, automatically learning of similarity information from data via self-expression has…

Machine Learning · Computer Science 2019-03-12 Zhao Kang , Yiwei Lu , Yuanzhang Su , Changsheng Li , Zenglin Xu

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

Image of a scene captured through a piece of transparent and reflective material, such as glass, is often spoiled by a superimposed layer of reflection image. While separating the reflection from a familiar object in an image is mentally…

Computer Vision and Pattern Recognition · Computer Science 2018-02-02 Zhixiang Chi , Xiaolin Wu , Xiao Shu , Jinjin Gu

Learning invariant representations from images is one of the hardest challenges facing computer vision. Spatial pooling is widely used to create invariance to spatial shifting, but it is restricted to convolutional models. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2013-03-19 Sainbayar Sukhbaatar , Takaki Makino , Kazuyuki Aihara

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

The reflection superposition phenomenon is complex and widely distributed in the real world, which derives various simplified linear and nonlinear formulations of the problem. In this paper, based on the investigation of the weaknesses of…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Qiming Hu , Xiaojie Guo

Eliminating reflections caused by incident light interacting with reflective medium remains an ill-posed problem in the image restoration area. The primary challenge arises from the overlapping of reflection and transmission components in…

Computer Vision and Pattern Recognition · Computer Science 2025-09-17 Pengbo Guo , Chengxu Liu , Guoshuai Zhao , Xingsong Hou , Jialie Shen , Xueming Qian

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

Deep learning models have a large number of free parameters that must be estimated by efficient training of the models on a large number of training data samples to increase their generalization performance. In real-world applications, the…

Computer Vision and Pattern Recognition · Computer Science 2018-02-15 Hojjat Salehinejad , Shahrokh Valaee , Timothy Dowdell , Joseph Barfett

Photometric Stereo methods seek to reconstruct the 3d shape of an object from motionless images obtained with varying illumination. Most existing methods solve a restricted problem where the physical reflectance model, such as Lambertian…

Computer Vision and Pattern Recognition · Computer Science 2021-10-06 Ofer Bartal , Nati Ofir , Yaron Lipman , Ronen Basri

Despite advances in feature representation, leveraging geometric relations is crucial for establishing reliable visual correspondences under large variations of images. In this work we introduce a Hough transform perspective on…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Juhong Min , Minsu Cho