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This paper presents the design of a diagnosis system for the detection, identification and reconstruction of faults in pipelines. The design of such diagnosis system is based on redundant relations and nonlinear observers, taking into…

Optimization and Control · Mathematics 2017-06-21 L. Torres

We study the inverse conductivity problem of how to reconstruct an isotropic electrical conductivity distribution $\gamma$ in an object from static electrical measurements on the boundary of the object. We give an exact reconstruction…

Functional Analysis · Mathematics 2007-05-23 Kim Knudsen , Alexandru Tamasan

Identifying objects in given data is a task frequently encountered in many applications. Finding vehicles or persons in video data, tracking seismic waves in geophysical exploration data, or predicting a storm front movement from…

Numerical Analysis · Mathematics 2024-02-07 Florian Bossmann , Jianwei Ma , Wenze wu

An efficient sky data reconstruction derives from a precise characterization of the observing instrument. Here we describe the reconstruction of performances of a single-pixel 4-band photometer installed at MITO (Millimeter and Infrared…

Astrophysics · Physics 2009-11-07 G. Savini , A. Orlando , E. S. Battistelli , M. De Petris , L. Lamagna , G. Luzzi , E. Palladino

We previously developed an automatic track scanning system which enables the detection of large-angle nuclear fragments in the nuclear emulsion films of the OPERA experiment. As a next step, we have investigated this system's track…

Instrumentation and Detectors · Physics 2015-06-23 T. Fukuda , S. Fukunaga , H. Ishida , T. Matsumoto , T. Matsuo , S. Mikado , S. Nishimura , S. Ogawa , H. Shibuya , J. Sudou , A. Ariga , S. Tufanli

A set of arbitrarily high-order WENO schemes for reconstructions on nonuniform grids is presented. These non-linear interpolation methods use simple smoothness indicators with a linear cost with respect to the order, making them easy to…

Numerical Analysis · Mathematics 2024-05-16 M. C. Martí , P. Mulet , D. F. Yáñez , D. Zorío

Algorithms for reliable real-time score following in live opera promise a lot of useful applications such as automatic subtitles display, or real-time video cutting in live streaming. Until now, such systems were based on the strong…

Audio and Speech Processing · Electrical Eng. & Systems 2021-05-19 Charles Brazier , Gerhard Widmer

We show how to recover equilibrated face tractions for the hybrid high-order method for linear elasticity recently introduced in [D. A. Di Pietro and A. Ern, A hybrid high-order locking-free method for linear elasticity on general meshes,…

Numerical Analysis · Mathematics 2014-12-02 Daniele A. Di Pietro , Alexandre Ern

Considering a nonlinear system in Byrnes-Isidori form that is subject to unbounded perturbations, we apply Lyapunov redesign via feedback linearisation for trajectory tracking. Leveraging the ideas of tube-based geometric characterisation…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Niclas Tietze , Kai Wulff , Johann Reger

The algorithms for position reconstruction in silicon micro-strip detectors are studied, and the signals of a minimum ionizing particle are simulated. The center-of-gravity distributions of the data events allow the fine tuning of the…

Instrumentation and Detectors · Physics 2021-10-22 Gregorio Landi

We introduce the following natural generalization of trace reconstruction, parameterized by a deletion probability $\delta \in (0,1)$ and length $n$: There is a length $n$ string of probabilities, $S=p_1,\ldots,p_n,$ and each "trace" is…

Data Structures and Algorithms · Computer Science 2024-12-03 Joey Rivkin , Gregory Valiant , Paul Valiant

Trajectory reconstruction is the process of inferring the path of a moving object between successive observations. In this paper, we propose a smoothing spline -- which we name the V-spline -- that incorporates position and velocity…

Methodology · Statistics 2022-06-20 Zhanglong Cao , David Bryant , Tim Molteno , Colin Fox , Matthew Parry

We study the track reconstruction algorithms of the CEPC luminometer. Depend on the current geometry design, the conventional track reconstruction method is applied, but it suffers the energy leakage problem when tracks falling into the…

Instrumentation and Detectors · Physics 2019-03-29 Liu Yang , Hao Cai , Kai Zhu

We present explicit reconstruction algorithms for fully anisotropic unknown elasticity tensors from knowledge of a finite number of internal displacement fields, with applications to transient elastography. Under certain rank-maximality…

Analysis of PDEs · Mathematics 2015-07-06 Guillaume Bal , Francois Monard , Gunther Uhlmann

Track detectors in high energy physics experiments require an accurate determination of a large number of alignment parameters. A general method has been developed, which allows the determination of up to several thousand alignment…

High Energy Physics - Experiment · Physics 2007-05-23 Volker Blobel , Claus Kleinwort

We propose a novel method of reconstructing the topology and interaction functions for a general oscillator network. An ensemble of initial phases and the corresponding instantaneous frequencies is constructed by repeating random…

Chaotic Dynamics · Physics 2015-05-20 Zoran Levnajić , Arkady Pikovsky

Formally capturing the transition from a continuous model to a discrete model is investigated using model based refinement techniques. A very simple model for stopping (eg. of a train) is developed in both the continuous and discrete…

Software Engineering · Computer Science 2011-06-22 Richard Banach , Huibiao Zhu , Wen Su , Runlei Huang

We study an inverse drift problem for a two-dimensional parabolic equation on the unit square with mixed boundary conditions, where the drift coefficient is recovered from terminal observation data $g=u(\cdot,T)$. A monotone operator is…

Numerical Analysis · Mathematics 2026-04-16 Liuying Zhang , Wenlong Zhang , Zhidong Zhang

The idea of posing a command following or tracking control problem as an input reconstruction problem is explored in the paper. For a class of square MIMO systems with known dynamics, by pretending that reference commands are actual outputs…

Systems and Control · Computer Science 2017-04-18 Roshan A. Chavan , Sujay D. Kadam , Abhijith Rajiv , Harish J. Palanthandalam-Madapusi

This report reviews methods of pattern recognition and event reconstruction used in modern high energy physics experiments. After a brief introduction into general concepts of particle detectors and statistical evaluation, different…

Data Analysis, Statistics and Probability · Physics 2009-11-10 Rainer Mankel