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Reconstructing dynamic 3D scenes from monocular input is fundamentally under-constrained, with ambiguities arising from occlusion and extreme novel views. While dynamic Gaussian Splatting offers an efficient representation, vanilla models…

Computer Vision and Pattern Recognition · Computer Science 2026-03-02 Fengzhi Guo , Chih-Chuan Hsu , Sihao Ding , Cheng Zhang

We discuss a simple parameter degeneracy in lens models which follows directly from the well known mass sheet degeneracy and prevents determining the radial mass distribution from lensing alone for many systems. For cosmological important…

Astrophysics · Physics 2007-05-23 Olaf Wucknitz , Sjur Refsdal

Optimal extraction of cosmological information from observations of the Cosmic Microwave Background critically relies on our ability to accurately undo the distortions caused by weak gravitational lensing. In this work, we demonstrate the…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-07 Thomas Flöss , William R. Coulton , Adriaan J. Duivenvoorden , Francisco Villaescusa-Navarro , Benjamin D. Wandelt

With their excellent photometric precision and dramatic increase in monitoring frequency, future microlensing survey experiments are expected to be sensitive to very short time-scale, isolated events caused by free-floating and…

Astrophysics · Physics 2009-11-10 Cheongho Han , B. Scott Gaudi , Jin H. An , Andrew Gould

We present the analysis of the binary-lens microlensing event OGLE-2017-BLG-0537. The light curve of the event exhibits two strong caustic-crossing spikes among which the second caustic crossing was resolved by high-cadence surveys. It is…

We study the "generic" degenerations of curves with two singular points when the points merge. First, the notion of generic degeneration is defined precisely. Then a method to classify the possible results of generic degenerations is…

Algebraic Geometry · Mathematics 2009-04-21 Dmitry Kerner

Strong gravitational lensing of sources with different redshifts has been used to determine cosmological distance ratios, which in turn depend on the expansion history. Hence, such systems are viewed as potential tools for constraining…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Peter Schneider

To generate the standard microlensing light curve one assumes that the relative motion of the source, the lens, and the observer is linear. In reality, the relative motion is likely to be more complicated due to accelerations of the…

Astrophysics · Physics 2009-11-07 M. C. Smith , S. Mao , B. Paczynski

Resolved debris disk features (e.g., warps, offsets, edges and gaps, azimuthal asymmetries, radially thickened rings, scale heights) contain valuable information about the underlying planetary systems, such as the posited planet's mass,…

Earth and Planetary Astrophysics · Physics 2020-02-05 Jiayin Dong , Rebekah I. Dawson , Andrew Shannon , Sarah Morrison

Time delay lensing is a mature and competitive cosmological probe. However, it is limited in accuracy by the well-known problem of the mass-sheet degeneracy: too rigid assumptions on the density profile of the lens can potentially bias the…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-27 Alessandro Sonnenfeld

We propose and evaluate the feasibility of a new strategy to search for planets via microlensing. This new strategy is designed to detect planets in "wide" orbits, i.e., with orbital separation, $a$ greater than $\sim 1.5 R_E$. Planets in…

Astrophysics · Physics 2009-10-30 Rosanne Di Stefano , Richard A. Scalzo

Recent advances in 3D Gaussian Splatting (3DGS) have achieved state-of-the-art results for novel view synthesis. However, efficiently capturing high-fidelity reconstructions of specific objects within complex scenes remains a significant…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Haiyi Li , Qi Chen , Denis Kalkofen , Hsiang-Ting Chen

We introduce a unified approach that, given a strong gravitationally lensed polarised source, self-consistently infers its complex surface brightness distribution and the lens galaxy mass-density profile, magnetic field and electron density…

Astrophysics of Galaxies · Physics 2024-07-30 S. Ndiritu , S. Vegetti , D. M. Powell , J. P. McKean

Gravitational lensing provides a unique and powerful probe of the mass distributions of distant galaxies. Four-image lens systems with fold and cusp configurations have two or three bright images near a critical point. Within the framework…

Astrophysics · Physics 2008-12-02 Arthur B. Congdon , Charles R. Keeton , C. Erik Nordgren

We study the critical points over an algebraic variety of an optimization problem defined by a quadratic objective that is degenerate. This scenario arises in machine learning when the dataset size is small with respect to the model, and is…

Algebraic Geometry · Mathematics 2025-12-25 Giovanni Luca Marchetti , Erin Connelly , Paul Breiding , Kathlén Kohn

Strong gravitational lensing is regarded as the most precise technique to measure the mass in the inner region of galaxies or galaxy clusters. In particular, the mass within one Einstein radius can be determined with an accuracy of order of…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-10 Sandra Unruh , Peter Schneider , Dominique Sluse

Motivated by the ongoing Spitzer observational campaign, and the forecoming K2 one, we revisit, working in an heliocentric reference frame, the geometrical foundation for the analysis of the microlensing parallax, as measured with the…

Solar and Stellar Astrophysics · Physics 2016-06-29 S. Calchi Novati , G. Scarpetta

While gravitational lens inversion holds great promise to reveal the structure of the light-deflecting mass distribution, both light and dark, the existence of various kinds of degeneracies implies that care must be taken when interpreting…

Astrophysics of Galaxies · Physics 2024-02-28 Jori Liesenborgs , Derek Perera , Liliya L. R. Williams
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