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In this paper we describe three methods for localizing a wireless sensor network node, using anchor nodes in its neighbourhood, when there is an error in distance estimation present. We use the intersection points of the circles formed with…

Networking and Internet Architecture · Computer Science 2012-03-19 Marios Karagiannis , Ioannis Chatzigiannakis , Jose Rolim

We present a heterogeneous localization framework for solving radar global localization and pose tracking on pre-built lidar maps. To bridge the gap of sensing modalities, deep neural networks are constructed to create shared embedding…

Robotics · Computer Science 2021-06-21 Huan Yin , Yue Wang , Rong Xiong

A multilayered particle is illuminated by plane acoustic or electromagnetic waves of one or several frequencies. We consider the inverse scattering problem for the identification of the layers and of the refraction coefficients of the…

Mathematical Physics · Physics 2016-09-07 Semion Gutman

We consider the problem of recovering the position and orientation of a camera equipped with an accelerometer from sensor images of two labeled landmarks whose positions in a coordinate system aligned in a known way with gravity are known.…

Computer Vision and Pattern Recognition · Computer Science 2024-10-24 Alexander R. Pruss

We present a factor graph formulation and particle-based sum-product algorithm for robust localization and tracking in multipath-prone environments. The proposed sequential algorithm jointly estimates the mobile agent's position together…

Signal Processing · Electrical Eng. & Systems 2025-04-16 Alexander Venus , Erik Leitinger , Stefan Tertinek , Florian Meyer , Klaus Witrisal

Two-place nonlocal systems have attracted many scientists' attentions. In this paper, two-place non-localities are extended to multi-place non-localities. Especially, various two-place and four-place nonlocal nonlinear Schrodinger (NLS)…

Exactly Solvable and Integrable Systems · Physics 2024-06-04 S. Y. Lou

In this paper, two things are done. First, we analyze the compatibility of Dirac fermions with the hidden duality symmetries which appear in the toroidal compactification of gravitational theories down to three spacetime dimensions. We show…

High Energy Physics - Theory · Physics 2009-11-11 Sophie de Buyl , Marc Henneaux , Louis Paulot

Human environments contain numerous objects configured in a variety of arrangements. Our goal is to enable robots to repose previously unseen objects according to learned semantic relationships in novel environments. We break this problem…

Robotics · Computer Science 2021-08-30 Chris Paxton , Chris Xie , Tucker Hermans , Dieter Fox

A dual foliation treatment of General Relativity is presented. The basic idea of the construction is to consider two foliations of a spacetime by spacelike hypersurfaces and relate the two geometries. The treatment is expected to be useful…

General Relativity and Quantum Cosmology · Physics 2015-09-08 David Hilditch

The localization subregions of stationary waves in continuous disordered media have been recently demonstrated to be governed by a hidden landscape that is the solution of a Dirichlet problem expressed with the wave operator. In this…

Disordered Systems and Neural Networks · Physics 2014-10-10 Marcelo Leite Lyra , Svitlana Mayboroda , Marcel Filoche

We study a stealthy range-sensor placement problem where a set of range sensors are to be placed with respect to targets to effectively localize them while maintaining a degree of stealthiness from the targets. This is an open and…

Systems and Control · Electrical Eng. & Systems 2024-12-06 Mohammad Hussein Yoosefian Nooshabadi , Rifat Sipahi , Laurent Lessard

We consider the cubic-quintic nonlinear Schr{\"o}dinger equation in space dimension up to three. The cubic nonlinearity is thereby focusing while the quintic one is defocusing, ensuring global well-posedness of the Cauchy problem in the…

Analysis of PDEs · Mathematics 2023-12-07 Rémi Carles , Christof Sparber

This paper addresses the problem of localizing an unknown number of targets, all having the same radar signature, by a distributed MIMO radar consisting of single antenna transmitters and receivers that cannot determine directions of…

Information Theory · Computer Science 2017-11-07 Sundar Aditya , Andreas F. Molisch , Naif Rabeah , Hatim Behairy

We show here that quadruple lenses can be useful laboratories to probe whether the potential of the lensing galaxy is purely elliptical or whether an additional distortion is present in the deflector plane. For this test we only have to…

Astrophysics · Physics 2009-10-28 Hans J. Witt

This paper considers the problem of finding a landing spot for a drone in a dense urban environment. The conflicting requirement of fast exploration and high resolution is solved using a multi-resolution approach, by which visual…

Robotics · Computer Science 2022-12-21 Barak Pinkovich , Boaz Matalon , Ehud Rivlin , Hector Rotstein

Wave localization occurs in all types of vibrating systems, in acoustics, mechanics, optics, or quantum physics. It arises either in systems of irregular geometry (weak localization) or in disordered systems (Anderson localization). We…

Disordered Systems and Neural Networks · Physics 2011-07-05 Marcel Filoche , Svitlana Mayboroda

Global localization of a mobile robot using planar surface segments extracted from depth images is considered. The robot's environment is represented by a topological map consisting of local models, each representing a particular location…

Computer Vision and Pattern Recognition · Computer Science 2013-10-02 Robert Cupec , Emmanuel Karlo Nyarko , Damir Filko , Andrej Kitanov , Ivan Petrović

We review the general problem of finding a global rotation that transforms a given set of points and/or coordinate frames (the "test" data) into the best possible alignment with a corresponding set (the "reference" data). For 3D point data,…

Quantitative Methods · Quantitative Biology 2022-05-16 Andrew J. Hanson

Despite the remarkable advances in image matching and pose estimation, image-based localization of a camera in a temporally-varying outdoor environment is still a challenging problem due to huge appearance disparity between query and…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Shen Yan , Yu Liu , Long Wang , Zehong Shen , Zhen Peng , Haomin Liu , Maojun Zhang , Guofeng Zhang , Xiaowei Zhou

Unisolvence of unsymmetric Kansa collocation is still a substantially open problem. We prove that Kansa matrices with MultiQuadrics and Inverse MultiQuadrics for the Dirichlet problem of the Poisson equation are almost surely nonsingular,…

Numerical Analysis · Mathematics 2024-03-28 R. Cavoretto , F. Dell'Accio , A. De Rossi , A. Sommariva , M. Vianello