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Related papers: Reflection Invariant and Symmetry Detection

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We present a differentiable framework to adaptively compute 4D illumination conditions with respect to an object, for efficient, high-quality simultaneous acquisition of its shape and reflectance, with a unified spatial-angular structured…

Computer Vision and Pattern Recognition · Computer Science 2026-05-08 Huakeng Ding , Yaowen Chen , Kun Zhou , Hongzhi Wu

As a fundamental building block in computer vision, edges can be categorised into four types according to the discontinuity in surface-Reflectance, Illumination, surface-Normal or Depth. While great progress has been made in detecting…

Computer Vision and Pattern Recognition · Computer Science 2021-08-03 Mengyang Pu , Yaping Huang , Qingji Guan , Haibin Ling

Symmetry breaking in two-dimensional layered materials plays a significant role in their macroscopic electrical, optical, magnetic and topological properties, including but not limited to spin-polarization effects, valley-contrasting…

Mesoscale and Nanoscale Physics · Physics 2021-03-09 Luojun Du , Tawfique Hasan , Andres Castellanos-Gomez , Gui-Bin Liu , Yugui Yao , Chun Ning Lau , Zhipei Sun

Inverse scattering is the process of estimating the spatial distribution of the scattering potential of an object by measuring the scattered wavefields around it. In this paper, we consider reflection tomography of high contrast objects…

Signal Processing · Electrical Eng. & Systems 2020-12-17 Ajinkya Kadu , Hassan Mansour , Petros T. Boufounos

Traditional lens design is a numerical and forward process based on ray tracing and aberration theory. This method has limitations because the initial configuration of the lens has to be specified and the aberrations of the lenses have to…

Optics · Physics 2016-03-18 Yang Lu , Vasudevan Lakshminarayanan

The inverse problem of diffraction theory in essence amounts to the reconstruction of the atomic positions of a solid from its diffraction image. From a mathematical perspective, this is a notoriously difficult problem, even in the…

Metric Geometry · Mathematics 2009-02-23 Uwe Grimm , Michael Baake

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

As capturing devices become common, 3D scans of interior spaces are acquired on a daily basis. Through scene comparison over time, information about objects in the scene and their changes is inferred. This information is important for…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Aikaterini Adam , Konstantinos Karantzalos , Lazaros Grammatikopoulos , Torsten Sattler

Symmetry-informed machine learning can exhibit advantages over machine learning which fails to account for symmetry. In the context of continuous symmetry detection, current state of the art experiments are largely limited to detecting…

Machine Learning · Statistics 2025-11-13 Ben Shaw , Sasidhar Kunapuli , Abram Magner , Kevin R. Moon

Decades of work on beam deformation on reflection, and especially on lateral shifts, have spread the idea that a reflected beam is larger than the incident beam. However, when the right conditions are met, a beam reflected by a multilayered…

Orientation estimation is a fundamental task in 3D shape analysis which consists of estimating a shape's orientation axes: its side-, up-, and front-axes. Using this data, one can rotate a shape into canonical orientation, where its…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Christopher Scarvelis , David Benhaim , Paul Zhang

Glass surfaces are ubiquitous in daily life, typically appearing colorless, transparent, and lacking distinctive features. These characteristics make glass surface detection a challenging computer vision task. Existing glass surface…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Tao Yan , Hao Huang , Yiwei Lu , Zeyu Wang , Ke Xu , Yinghui Wang , Xiaojun Chang , Rynson W. H. Lau

The article suggests a new approach what is called a consistency method for the inversion of the spherical Radon transform in 2D with detectors on a line. It is known that there is not an exact inversion formula in 2D. By means of the…

Numerical Analysis · Mathematics 2017-05-31 Rafik Aramyan

Modeling symmetry breaking is essential for understanding the fundamental changes in the behaviors and properties of physical systems, from microscopic particle interactions to macroscopic phenomena like fluid dynamics and cosmic…

Machine Learning · Computer Science 2025-07-11 Rui Wang , Elyssa Hofgard , Han Gao , Robin Walters , Tess E. Smidt

Directional detection is a promising Dark Matter search strategy. Even though it could accommodate to a sizeable background contamination, electron/recoil discrimination remains a key and challenging issue as for direction-insensitive…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 J. Billard , F. Mayet , D. Santos

Symmetry in neutrino oscillation serves for a better understanding of the physical properties of the phenomenon. We present a systematic way of finding symmetry in neutrino oscillation, which we call Symmetry Finder (SF). By extending the…

High Energy Physics - Phenomenology · Physics 2021-10-27 Hisakazu Minakata

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

Finding matching keypoints between images is a core problem in 3D computer vision. However, modern matchers struggle with large in-plane rotations. A straightforward mitigation is to learn rotation invariance via data augmentation. However,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 David Nordström , Johan Edstedt , Fredrik Kahl , Georg Bökman

Recent advances in twistor theory are applied to geometric optics in ${\Bbb{R}}^3$. The general formulae for reflection of a wavefront in a surface are derived and in three special cases explicit descriptions are provided: when the…

Differential Geometry · Mathematics 2021-11-15 Brendan Guilfoyle , Wilhelm Klingenberg

The problem of identifying the 3D pose of a known object from a given 2D image has important applications in Computer Vision ranging from robotic vision to image analysis. Our proposed method of registering a 3D model of a known object on a…

Computer Vision and Pattern Recognition · Computer Science 2012-02-10 Srimal Jayawardena , Marcus Hutter , Nathan Brewer