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We propose a new method with $\mathcal{L}_2$ distance that maps one $N$-dimensional distribution to another, taking into account available information about correspondences. We solve the high-dimensional problem in 1D space using an…

Computer Vision and Pattern Recognition · Computer Science 2021-02-19 Hana Alghamdi , Rozenn Dahyot

Motivated by higher-dimensional theories that predict new effects, we tested the gravitational 1/r^2 law at separations ranging down to 218 micrometers using a 10-fold symmetric torsion pendulum and a rotating 10-fold symmetric attractor.…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. D. Hoyle , U. Schmidt , B. R. Heckel , E. G. Adelberger , J. H. Gundlach , D. J. Kapner , H. E. Swanson

Whether to attract viewer attention to a particular object, give the impression of depth or simply reproduce human-like scene perception, shallow depth of field images are used extensively by professional and amateur photographers alike. To…

Computer Vision and Pattern Recognition · Computer Science 2019-10-01 Benjamin Busam , Matthieu Hog , Steven McDonagh , Gregory Slabaugh

This paper is on the normal approximation of singular subspaces when the noise matrix has i.i.d. entries. Our contributions are three-fold. First, we derive an explicit representation formula of the empirical spectral projectors. The…

Statistics Theory · Mathematics 2019-07-29 Dong Xia

Photometric stereo is a technique for estimating surface normals using images captured under varying illumination. However, conventional frame-based photometric stereo methods are limited in real-world applications due to their reliance on…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Hyunwoo Kim , Won-Hoe Kim , Sanghoon Lee , Jianfei Cai , Giljoo Nam , Jae-Sang Hyun

We revisit extending the Kolmogorov-Smirnov distance between probability distributions to the multidimensional setting and make new arguments about the proper way to approach this generalization. Our proposed formulation maximizes the…

Computation · Statistics 2025-04-16 Peter Matthew Jacobs , Foad Namjoo , Jeff M. Phillips

The Large Synoptic Survey Telescope (LSST) is conceived as an 8.4-m telescope with CCD or CMOS focal plane covering most of a field 0.6 m in diameter, the latter exceeding the size of the largest photographic plates ever used in astronomy.…

Astrophysics · Physics 2015-06-10 Alistair R. Walker

We describe the making of a two-mirrors stereoscope, identical to the first historical one, with the advantage of employing digital images on LCD monitors. We surprised the public with it, because they do not imagine being possible to watch…

Physics Education · Physics 2014-08-27 Jose Joaquin Lunazzi , Milena Cardoso Franca , Andrey da Silva Mori

What is the distance between two points in spacetime? This is a basic geometric question, which so far has no single, definitive answer. Unlike their Riemannian cousins, Lorentzian manifolds are not known to carry a canonical distance…

General Relativity and Quantum Cosmology · Physics 2021-03-09 Carlos Vega

When the source in a 4-image gravitational lens lies close to a "fold" caustic, two of the lensed images lie close together. If the lens potential is smooth on the scale of the separation between the two close images, then the difference…

Astrophysics · Physics 2009-11-10 Charles R. Keeton , B. Scott Gaudi , A. O. Petters

Personal space (PS) is the distance that people prefer to maintain between themselves and unfamiliar others. Interpersonal intrusion into a given persons PS evokes discomfort, and an urge to move further apart. We hypothesized that in…

Neurons and Cognition · Quantitative Biology 2022-03-16 Roger B. H. Tootell , Zahra Nasiriavanaki , Baktash Babadi , Douglas N. Greve , Shahin Nasr , Daphne J. Holt

With the development of computer vision, visual odometry is adopted by more and more mobile robots. However, we found that not only its own pose, but the poses of other moving objects are also crucial for the decision of the robot. In…

Computer Vision and Pattern Recognition · Computer Science 2019-10-16 Qing Zhao , Bin Luo , Yun Zhang

We introduce a novel architecture for neural disparity refinement aimed at facilitating deployment of 3D computer vision on cheap and widespread consumer devices, such as mobile phones. Our approach relies on a continuous formulation that…

Computer Vision and Pattern Recognition · Computer Science 2021-11-01 Filippo Aleotti , Fabio Tosi , Pierluigi Zama Ramirez , Matteo Poggi , Samuele Salti , Stefano Mattoccia , Luigi Di Stefano

Vision-based metric distance and area measurement remains challenging in large-scale outdoor environments due to long-range sensing, camera zoom, and unstable imaging conditions. This work studies planar metric measurement in a real-world…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 ZhiXin Sun

Diversification of recommendation results is a promising approach for coping with the uncertainty associated with users' information needs. Of particular importance in diversified recommendation is to define and optimize an appropriate…

Information Retrieval · Computer Science 2023-05-24 Naoto Ohsaka , Riku Togashi

Linear subspace representations of appearance variation are pervasive in computer vision. This paper addresses the problem of robustly matching such subspaces (computing the similarity between them) when they are used to describe the scope…

Computer Vision and Pattern Recognition · Computer Science 2014-02-03 Ognjen Arandjelovic

In this paper, we explore the appealing possibility that the strong suppression of large-size QCD instantons - as evident from lattice data - is due to a surviving conformal space-time inversion symmetry. This symmetry is both suggested…

High Energy Physics - Phenomenology · Physics 2009-02-09 D. Klammer , F. Schrempp

Stereopsis has widespread appeal in robotics as it is the predominant way by which living beings perceive depth to navigate our 3D world. Event cameras are novel bio-inspired sensors that detect per-pixel brightness changes asynchronously,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Suman Ghosh , Guillermo Gallego

Compared to monocular 3D object detection, stereo-based 3D methods offer significantly higher accuracy but still suffer from high computational overhead and latency. The state-of-the-art stereo 3D detection method achieves twice the…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Shiyi Mu , Zichong Gu , Zhiqi Ai , Anqi Liu , Yilin Gao , Shugong Xu

We introduce a new type of distinct distances result: a lower bound on the number of distances between points on a line and points on a two-dimensional strip. This can be seen as a generalization of the well-studied problems of distances…

Metric Geometry · Mathematics 2025-04-08 Sanjana Das , Adam Sheffer