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Characterizing the geometry of an object orbiting around a star from its transit light curve is a powerful tool to uncover various complex phenomena. This problem is inherently ill-posed, since similar or identical light curves can be…

Earth and Planetary Astrophysics · Physics 2026-04-16 Ushasi Bhowmick , Shivam Kumaran

3D dense reconstruction refers to the process of obtaining the complete shape and texture features of 3D objects from 2D planar images. 3D reconstruction is an important and extensively studied problem, but it is far from being solved. This…

Computer Vision and Pattern Recognition · Computer Science 2023-04-20 Yangming Li

The present work represents a step to deal with stellar structure using a pure geometric approach. A geometric field theory is used to construct a model for a spherically symmetric configuration. The model obtained can be considered as a…

General Relativity and Quantum Cosmology · Physics 2011-09-27 M. I. Wanas , Samah A. Ammar

We present an analysis of the accuracy of geometric albedos determined for asteroids through the modeling of observed thermal infrared radiation. We show that albedo uncertainty is dominated by the uncertainty on the measured $H_V$ absolute…

Earth and Planetary Astrophysics · Physics 2021-01-11 Joseph R. Masiero , E. L. Wright , A. K. Mainzer

Plotting the mass-density of a wide range of astronomical objects as a function of their mass reveals that the vast majority of these objects fall along a ``cohesive object sequence'' that extends all the way from asteroids to the largest…

Earth and Planetary Astrophysics · Physics 2026-04-24 Gabriel M Steward , Matthew Hedman

This article studies the inverse problem of recovering a vector field supported in $\mathbb{D}_R$, the disk of radius $R$ centered at the origin, through a set of generalized broken ray/V-line transforms, namely longitudinal and transverse…

Classical Analysis and ODEs · Mathematics 2024-04-22 Rahul Bhardwaj , Rohit Kumar Mishra , Manmohan Vashisth

We select 50 main-belt asteroids with a diameter between 20 and 400 km for which we have (i) shape models derived by the lightcurve inversion method (LI) and (ii) resolved observations of good quality collected with the Keck II adaptive…

Earth and Planetary Astrophysics · Physics 2013-08-05 J. Hanuš , F. Marchis , J. Ďurech

I review the astrophysical insights arising from high-precision astrometric observations of X-ray binary systems, focussing primarily (but not exclusively) on recent results with very long baseline interferometry. Accurate,…

High Energy Astrophysical Phenomena · Physics 2015-06-18 James C. A. Miller-Jones

We provide algorithms to reconstruct rational ruled surfaces in three-dimensional projective space from the `apparent contour' of a single projection to the projective plane. We deal with the case of tangent developables and of general…

Symbolic Computation · Computer Science 2021-04-29 Matteo Gallet , Niels Lubbes , Josef Schicho , Jan Vršek

This is a review with the ambitious goal of covering the recent progress in: 1) universal relations (in general relativity and alternative theories of gravity), and 2) neutron star models in alternative theories. We also aim to be…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Daniela D. Doneva , George Pappas

This paper presents a generalizable RGB-based approach for object pose estimation, specifically designed to address challenges in sparse-view settings. While existing methods can estimate the poses of unseen objects, their generalization…

Computer Vision and Pattern Recognition · Computer Science 2025-10-01 Yuanhong Yu , Xingyi He , Chen Zhao , Junhao Yu , Jiaqi Yang , Ruizhen Hu , Yujun Shen , Xing Zhu , Xiaowei Zhou , Sida Peng

This revisit gives a survey on the analytical methods for the inverse exponential Radon transform which has been investigated in the past three decades from both mathematical interests and medical applications such as nuclear medicine…

Image and Video Processing · Electrical Eng. & Systems 2020-02-06 Jason You

In this work we provide a framework that connects the co-rotating and counter rotating $f$-mode frequencies of rotating neutron stars with their stellar structure. The accurate computation of these modes for realistic equations of state has…

General Relativity and Quantum Cosmology · Physics 2021-04-21 Sebastian H. Völkel , Christian J. Krüger , Kostas D. Kokkotas

We present recent developments on numerical algorithms for computing photon and particle trajectories in the surrounding of compact objects. Strong gravity around neutron stars or black holes causes relativistic effects on the motion of…

High Energy Astrophysical Phenomena · Physics 2020-04-08 Fabio Bacchini , Bart Ripperda , Lorenzo Sironi

Long-baseline interferometry at optical and near-infrared wavelengths is an emerging technology which is quickly becoming a useful tool to investigate stellar atmospheres and to compare observations with models. Stellar atmosphere models…

Astrophysics · Physics 2007-05-23 Markus Wittkowski

Integrable models are often constructed with real systems in mind. The exact solvability of the models leads to results which are unambiguous and provide the correct physical picture. In this review, we discuss the physical basis of some…

Condensed Matter · Physics 2007-05-23 Indrani Bose

The work is devoted to the critical analysis of theoretical prediction and astronomical observation of GR effects, first of all, the Mercury's perihelion advance. In the first part, the methodological issues of observations are discussed…

General Physics · Physics 2010-08-12 Anatoli A. Vankov

Context. Various simplified models have been investigated to understand the complex dynamical environment near irregular asteroids. We propose a generalized dipole-segment model (GDSM) to describe the gravitational fields of elongated…

Earth and Planetary Astrophysics · Physics 2026-03-03 A. K. de Almeida , A. F. S. Ferreira , L. B. T. Santos , F. Monteiro , A. Amarante , E. Tresaco , D. M. Sanchez , C. Gomes , A. F. B. A. Prado

In our article we consider some algebraical methods which may be useful in some inverse spectral problems. The reconstraction of the matrix from its minors is considered.

Commutative Algebra · Mathematics 2007-05-23 A. V. Mouftakhov

Asteroseismology allows us to probe the internal structure of stars through their global modes of oscillation. Thanks to missions such as the NASA Kepler space observatory, we now have high-quality asteroseismic data for nearly 100…

Solar and Stellar Astrophysics · Physics 2020-01-15 Earl Patrick Bellinger