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This paper describes an investigation of the source of geospatial error in digital surface models (DSMs) constructed from multiple satellite images. In this study the uncertainty in surface geometry is separated into two spatial components;…

Computer Vision and Pattern Recognition · Computer Science 2022-05-04 Joseph L Mundy , Hank Theiss

Quadruped robots are currently a widespread platform for robotics research, thanks to powerful Reinforcement Learning controllers and the availability of cheap and robust commercial platforms. However, to broaden the adoption of the…

This is an introductory review to localization techniques in supersymmetric two-dimensional gauge theories. In particular we describe how to construct Lagrangians of N=(2,2) theories on curved spaces, and how to compute their partition…

High Energy Physics - Theory · Physics 2017-10-25 Francesco Benini , Bruno Le Floch

This paper presents global optimal solutions to a nonconvex quadratic minimization problem over a sphere constraint. The problem is well-known as a trust region subproblem and has been studied extensively for decades. The main challenge is…

Optimization and Control · Mathematics 2013-08-22 Yi Chen , David Y. Gao

In this paper we present a new algorithm for a layout optimization problem: this concerns the placement of weighted polygons inside a circular container, the two objectives being to minimize imbalance of mass and to minimize the radius of…

Computational Geometry · Computer Science 2008-09-30 Yi-Chun Xu , Ren-Bin Xiao , Martyn Amos

When two-dimensional pattern-forming problems are posed on a periodic domain, classical techniques (Lyapunov-Schmidt, equivariant bifurcation theory) give considerable information about what periodic patterns are formed in the transition…

Pattern Formation and Solitons · Physics 2022-09-16 Gérard Iooss , Alastair M Rucklidge

We propose a distributed positioning algorithm to estimate the unknown positions of a number of target nodes, given distance measurements between target nodes and between target nodes and a number of reference nodes at known positions.…

Information Theory · Computer Science 2017-04-26 Mohammad Reza Gholami , Luba Tetruashvili , Erik G. Ström , Yair Censor

LiDAR based place recognition is popular for loop closure detection and re-localization. In recent years, deep learning brings improvements to place recognition by learnable feature extraction. However, these methods degenerate when the…

Computer Vision and Pattern Recognition · Computer Science 2022-10-21 Sha Lu , Xuecheng Xu , Li Tang , Rong Xiong , Yue Wang

When a vehicle observes another one, the two vehicles' poses are correlated by this spatial relative observation, which can be used in cooperative localization for further increasing localization accuracy and precision. To use spatial…

Robotics · Computer Science 2017-04-06 Xiaotong Shen , Hans Andersen , Wei Kang Leong , Hai Xun Kong , Marcelo H. Ang , Daniela Rus

This paper studies the problem of determining the sensor locations in a large sensor network using relative distance (range) measurements only. Our work follows from a seminal paper by Khan et al. [1] where a distributed algorithm, known as…

Information Theory · Computer Science 2013-01-15 Yingfei Diao , Zhiyun Lin , Minyue Fu , Huanshui Zhang

This paper studies 3-D distributed network localization using mixed types of local relative measurements. Each node holds a local coordinate frame without a common orientation and can only measure one type of information (relative position,…

Signal Processing · Electrical Eng. & Systems 2023-12-19 Xu Fang , Xiaolei Li , Lihua Xie

We analytically compute a localization criterion in double scattering approximation for a set of dielectric spheres or perfectly conducting disks uniformly distributed in a spatial volume which can be either spherical or layered. For every…

Optics · Physics 2009-10-31 C. Ordenovic , G. Berginc , C. Bourrely

We elucidate the different mechanisms of wave localisation in disordered finite systems of subwavelength resonators, where the disorder is in the spatial arrangement of the resonators. To do so, we employ the capacitance matrix formalism…

Disordered Systems and Neural Networks · Physics 2025-07-10 Habib Ammari , Silvio Barandun , Alexander Uhlmann

In recent papers, a model of a two-sheeted spacetime M4XZ2 was introduced and the quantum dynamics of massive fermions was studied in this framework. In the present study, we show that the physical predictions of the model are perfectly…

High Energy Physics - Theory · Physics 2008-11-26 Michael Sarrazin , Fabrice Petit

The hand-eye calibration problem is an important application problem in robot research. Based on the 2-norm of dual quaternion vectors, we propose a new dual quaternion optimization method for the hand-eye calibration problem. The dual…

Robotics · Computer Science 2022-09-19 Zhongming Chen , Chen Ling , Liqun Qi , Hong Yan

We consider the visual disambiguation task of determining whether a pair of visually similar images depict the same or distinct 3D surfaces (e.g., the same or opposite sides of a symmetric building). Illusory image matches, where two images…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Ruojin Cai , Joseph Tung , Qianqian Wang , Hadar Averbuch-Elor , Bharath Hariharan , Noah Snavely

High-contrast scattering problems are special among classical wave systems as they allow for strong wave focusing and localisation at low frequencies. We use an asymptotic framework to develop a landscape theory for high-contrast systems…

Analysis of PDEs · Mathematics 2023-11-01 Bryn Davies , Yiqi Lou

Confocal quadrics lie at the heart of the system of confocal coordinates (also called elliptic coordinates, after Jacobi). We suggest a discretization which respects two crucial properties of confocal coordinates: separability and all…

Differential Geometry · Mathematics 2017-08-25 Alexander I. Bobenko , Wolfgang K. Schief , Yuri B. Suris , Jan Techter

Salient object detection plays an important role in many downstream tasks. However, complex real-world scenes with varying scales and numbers of salient objects still pose a challenge. In this paper, we directly address the problem of…

Computer Vision and Pattern Recognition · Computer Science 2021-11-08 Bowen Deng , Andrew P. French , Michael P. Pound

In this paper we address the problem of locating a new facility on a $d$-dimensional space when the distance measure ($\ell_p$- or polyhedral-norms) is different at each one of the sides of a given hyperplane $\mathcal{H}$. We relate this…

Optimization and Control · Mathematics 2014-04-14 Victor Blanco , Justo Puerto , Diego Ponce
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