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The 3D localisation of an object and the estimation of its properties, such as shape and dimensions, are challenging under varying degrees of transparency and lighting conditions. In this paper, we propose a method for jointly localising…

计算机视觉与模式识别 · 计算机科学 2020-03-11 Alessio Xompero , Ricardo Sanchez-Matilla , Apostolos Modas , Pascal Frossard , Andrea Cavallaro

Orbits of test particles and light rays are an important tool to study the properties of space-time metrics. Here we systematically study the properties of the gravitational field of a globally regular magnetic monopole in terms of the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Valeria Kagramanova , Jutta Kunz , Claus Laemmerzahl

We geometrically analyze the problem of estimating parameters related to the shape and size of a two-dimensional target object on the plane by using randomly distributed distance sensors whose locations are unknown. Based on the analysis…

信息论 · 计算机科学 2017-07-20 Hiroshi Saito , Hirotada Honda

Object data analysis is concerned with statistical methodology for datasets whose elements reside in an arbitrary, unspecified metric space. In this work we propose the object shape, a novel measure of shape/symmetry for object data. The…

统计理论 · 数学 2023-12-19 Joni Virta

A shadow of a geometric object $A$ in a given direction $v$ is the orthogonal projection of $A$ on the hyperplane orthogonal to $v$. We show that any topological embedding of a circle into Euclidean $d$-space can have at most two shadows…

度量几何 · 数学 2017-06-09 Michael Gene Dobbins , Heuna Kim , Luis Montejano , Edgardo Roldán-Pensado

We explore the shadow of certain class generalized Kerr black holes, which are non vacuum solutions of the Einstein equations with exotic matter. The images depend on the angular momentum of the compact object, the characteristic parameter…

广义相对论与量子宇宙学 · 物理学 2016-02-23 Vassil K. Tinchev

In recent years, various shadow detection methods from a single image have been proposed and used in vision systems; however, most of them are not appropriate for the robotic applications due to the expensive time complexity. This paper…

计算机视觉与模式识别 · 计算机科学 2018-03-20 Sepideh Hosseinzadeh , Moein Shakeri , Hong Zhang

Order parameters based on spherical harmonics and Fourier coefficients already play a significant role in condensed matter research in the context of systems of spherical or point particles. Here, we extend these types of order parameter to…

软凝聚态物质 · 物理学 2010-12-22 Aaron S. Keys , Christopher R. Iacovella , Sharon C. Glotzer

The shadow of a rotating black hole with nonvanishing gravitomagnetic charge has been studied. It was shown that in addition to the angular momentum of black hole the gravitomagnetic charge term deforms the shape of the black hole shadow.…

Classical shadows are a computationally efficient approach to storing quantum states on a classical computer for the purposes of estimating expectation values of local observables, obtained by performing repeated random measurements. In…

量子物理 · 物理学 2023-05-03 Saumya Shivam , C. W. von Keyserlingk , S. L. Sondhi

There has been renewed interest in the possibility that dark matter exists in the form of atoms, analogous to those of the visible world. An important input for understanding the cosmological consequences of dark atoms is their…

高能物理 - 唯象学 · 物理学 2014-02-26 James M. Cline , Zuowei Liu , Guy D. Moore , Wei Xue

A black hole casts a shadow as an optical appearance because of its strong gravitational field. We study the shadow cast by the five-dimensional Myers-Perry black hole with equal rotation parameters. We demonstrate that the null geodesic…

广义相对论与量子宇宙学 · 物理学 2015-06-22 Uma Papnoi , Farruh Atamurotov , Sushant G. Ghosh , Bobomurat Ahmedov

We introduce the noncommutative geometry inspired Ay\'on Beato Garc\'ia black hole metric and study various properties of this metric by which we try to probe the allowed values of the noncommutative parameter $\vartheta$ under certain…

综合物理 · 物理学 2018-07-31 Ashis Saha , Madhav Modumudi , Sunandan Gangopadhyay

In this paper, we employ a ray-tracing algorithm to simulate the shadows of three equal-mass black holes in static equilibrium across a wide parameter space. We find that the shadows consist of a larger primary shadow and several distorted,…

广义相对论与量子宇宙学 · 物理学 2025-08-19 Dan Li , Yuxiang Zuo , Shiyang Hu , Chen Deng , Yu Wang , Wenfu Cao

Cosmic expansion is expected to influence on the size of black hole shadow observed by comoving observer. Except the simplest case of Schwarzschild black hole in de Sitter universe, analytical approach for calculation of shadow size in…

广义相对论与量子宇宙学 · 物理学 2018-10-24 Gennady S. Bisnovatyi-Kogan , Oleg Yu. Tsupko

A compact object illuminated by background radiation produces a dark silhouette. The edge of the silhouette or shadow (alternatively, the apparent boundary or the critical curve) is commonly determined by the presence of the photon sphere…

广义相对论与量子宇宙学 · 物理学 2025-09-09 Parth Bambhaniya , Saurabh , Elisabete M. de Gouveia Dal Pino

By studying the effects of the shape moduli associated with toroidal compactifications, we demonstrate that Planck-sized extra dimensions can cast significant ``shadows'' over low-energy physics. These shadows can greatly distort our…

高能物理 - 理论 · 物理学 2008-11-26 Keith R. Dienes , Arash Mafi

Can we determine a spin parameter of a black hole by observation of a black hole shadow in an accretion disk? In order to answer this question, we make a qualitative analysis and a quantitative analysis of a shape and a position of a black…

天体物理学 · 物理学 2011-05-10 Rohta Takahashi

The generic properties of compact objects made of two different fluids of dark matter are studied in a scale invariant approach. We investigate compact objects with a core-shell structure, where the two fluids are separated, and with mixed…

广义相对论与量子宇宙学 · 物理学 2023-03-01 Marie Cassing , Alexander Brisebois , Muhammad Azeem , Jürgen Schaffner-Bielich

Motivated by M-theory compactifications, we investigate optical properties of black holes in the Starobinsky-Bel-Robinsion gravity. Precisely, we study the shadows and the deflection angle of light rays by non-rotating and rotating black…

高能物理 - 理论 · 物理学 2023-04-11 A. Belhaj , H. Belmahi , M. Benali , Y. Hassouni , M. B. Sedra