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An optimal algorithm for multiplication in F₂₅₆/F₄

Applicable Algebra in Engineering, Communication and Computing 1991年第1期2卷 15-20页

作者： Baum, Ulrich Shokrollahi, Mohammad Amin Institut für Informatik V Universität Bonn Germany

Applying an interpolation algorithm invented by D. V. Chudnovsky and G. V. Chudnovsky to the Fermat-curve x3 + y3 = 1 over F4, we present a bilinear algorithm for the multiplication in the F4-algebra F256 which requir... 详细信息

Applying an interpolation algorithm invented by D. V. Chudnovsky and G. V. Chudnovsky to the Fermat-curve x³ + y³ = 1 over F₄, we present a bilinear algorithm for the multiplication in the F₄-algebra F₂₅₆ which requires 8 essential multiplications. © 1991 Springer-Verlag.

关键词： Bilinear complexity Elliptic curves interpolation algorithms

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Accuracy of Sine-wave Frequency Estimation by an Iterative Interpolated DFT Algorithm

Accuracy of Sine-wave Frequency Estimation by an Iterative I...

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32nd Annual IEEE International Instrumentation and Measurement Technology Conference (I2MTC)

作者： Belega, Daniel Petri, Dario Dallet, Dominique Politehn Univ Timisoara Dept Measurements & Opt Elect Timisoara Romania Univ Trento Dept Ind Engn Trento Italy Univ Bordeaux IPB ENSEIRB IMS Lab MATMECA Talence France

ISBN: (纸本)9781479961139

In this paper the accuracy of the sine-wave frequency estimator returned by an iterative Interpolated Discrete Fourier Transform (IpDFT) algorithm based on a Maximum Sidelobe Decay (MSD) window is analyzed. The expressions for the contribution to the frequency estimation error of either the spectral interference from the sine-wave image component and wideband noise are derived. It is shown that two algorithm iterations ensure the minimum noise sensitivity achievable with the adopted window. The accuracy of the derived expressions is verified by means of computer simulations and validated by experimental results.

关键词： Uncertainty analysis frequency estimation interpolation algorithms sine-wave windowing

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Development of City-Wide Road Grade Profiles Utilising Advanced Bus Transportation Systems

Development of City-Wide Road Grade Profiles Utilising Advan...

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15th International-Federation-of-Automatic-Control (IFAC) Symposium on Control in Transportation Systems (CTS)

作者： Singla, Tushti Brady, Mike Magrath, Jared Univ Dublin Trinity Coll Dublin Sch Comp Sci & Stat Dublin Ireland

Road grade is of vital importance in determining a vehicle's fuel consumption and therefore in designing eco-routing solutions. Consequently, there is a need to develop accurate road grade profiles on a large scale with a high degree of accuracy. Advanced Bus Transportation Systems (ABTS) provide an opportunity to collect large amounts of data about bus routes in the form of GPS traces, which in turn could enable the development of road grade profiles within a large catchment area. This paper reports on an approach to developing large scale road grade profiles in a multistep process. The work investigates the use of GPS trace information from Dublin Bus, combined with elevation information from the Shuttle Radar Topography Mission (SRTM) to develop road grade profiles for all bus routes in the company's system, covering the major areas of the city of Dublin, Ireland. The results are compared with road grades derived from Google elevation data. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Road Grade Elevation Transportation Global positioning systems Filtering techniques interpolation algorithms Smoothing filters Signal processing Advanced Bus Transportation Systems OpenStreetMap

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Study of quintic spline interpolation and generated velocity profile for high speed machining

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Wuhan Ligong Daxue Xuebao/Journal of Wuhan University of Technology 2006年第SUPPL. 1期28卷 507-512页

作者： Zheng, Jinxing Zhang, Mingjun Meng, Qingxin Department of Mechanical Engineering Harbin Engineering University Harbin 150001 China

Modern high speed machining (HSM) machine tools often operates at high speed and high feedrate with high accelerations, in order to deliver the rapid feed motion. This paper presents an interpolation algorithm to generate continuous quintic spline toolpaths, with a constant travel increment at each step, while the smoother accelerations and jerks of two-order curve are obtained. Then an approach for reducing the feedrate fluctuation in high speed spline interpolation is presented. The presented approach has been validated to quickly, reliably and effective with the simulation.

关键词： interpolation algorithms Quadric jerks profiling Quintic spline

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The Harmonious Detecting and Analyzing of PV Grid Connected Generation

The Harmonious Detecting and Analyzing of PV Grid Connected ...

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27th Chinese Control Conference

作者： Luo Weiping Wuhan Univ Sci & Engn Coll Elect & Informat Engn Wuhan 430073 Peoples R China

ISBN: (纸本)9787900719706

The method of harmonious detecting is introduced about PV grid connected generation, and the technique is realized to harmonious synchronous sampling based on PLL circuit of hardware, in order that the error is eliminated for non-synchronous sampling at all. It is used to analyze the harmonic of PV system for FFT algorithm based on B-H window function and interpolation, and the error is minished by frequency table giveaway and barrier domino offect effectively, veracity of data processing is advanced.

关键词： Photovoltaic Grid Connected Harmonics Detection Active Power Filter Window Functions interpolation algorithms

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Inference of Foliar Temperature Profile of a Vineyard Using Integrated Sensors Into a Motorized Vehicle

Inference of Foliar Temperature Profile of a Vineyard Using ...

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IEEE International Conference on Automatica (ICA-ACCA)

作者： Ahumada-Garcia, Roberto Poblete-Echeverria, Carlos Besoain, Felipe Reyes-Suarez, Jose Univ Talca Fac Ingn Talca Chile Pontificia Univ Catolica Valparaiso Escuela Agron Quillota Chile Univ Oberta Catalunya Internet Interdisciplinary Inst IN3 Av Carl Friedrich Gauss 5 Barcelona Spain

ISBN: (纸本)9781509011476

Inferring foliar temperatures is motivated by the high cost related to measure each plant's temperatures in a vineyard. Foliar temperature is correlated with the plants water potential, which allows farmers to take irrigation decisions. In order to deal with this situation, we utilized information obtained from several temperature infrared sensors integrated into a motor vehicle that runs a vineyard taking measurements at different heights. This data was interpolated with Kriging and IDW methods. These models were evaluated through RMSE (rootmean-square error) and rRMSE (relative root-mean-square error) as performance measures. Main results indicate that the Krigning approach presents a better performance in comparison with IDW. It is possible to see that the sensors located at lower altitudes show less measured error as RMSE. It was also observed that the spatial distribution of errors is homogeneous, with most of these errors less than or equal to the average RMSE. Finally, no significant changes are observed in the model performance when halving the data employed for interpolation. From these assessments, optimum operation conditions for the monitoring equipment were proposed.

关键词： interpolation algorithms prediction methods inference algorithms

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Human Posture Recognition Using Skeleton and Depth Information 1

Human Posture Recognition Using Skeleton and Depth Informati...

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1st World Robot Conference (WRC) / Symposium on Advanced Robotics and Automation (SARA)

作者： Cao, Bo Bi, Shusheng Zheng, Jingxiang Yang, Dongsheng Beijing Univ Aeronaut & Astronaut Sch Machan Engn & Automat Beijing 100191 Peoples R China

ISBN: (纸本)9781538676752

We present an approach to efficiently recognize human posture with a multi-classified support vector machine (SVM). In order to get features that input to the SVM, the approach use skeleton information obtained from a two-dimensional (2D) image and then map it into three-dimensional (3D) space using depth information. A body coordinate system is established to ensure the same postures have similar features. To deal with the problem of occlusion, we generate interpolating points using interpolation algorithm. Features contain both 3D information of the interpolating points and angles information related to joints and interpolating points. A dataset of five postures is built to verify the effectiveness of the approach. The results of experiments show that the recognition accuracy reaches 97.9% by the approach. Furthermore, the average time cost by extracting features and posture recognition with SVM after obtaining skeleton information is only 0.483 ms which meets the real-time application requirements.

关键词： Human posture recognition Features interpolation algorithms Support vector machines Classification

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An Overview Study of Automated Inland Waterway Topographic Contour Mapping 24

An Overview Study of Automated Inland Waterway Topographic C...

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3rd International Conference on Frontiers of Artificial Intelligence and Machine Learning (FAIML)

作者： Liu, Hua Liu, Xuehao Zhang, Jing Huang, Lingli Changjiang Yichang Waterway Engn Bur Yichang Peoples R China Henan Vocat Coll Water Conservancy & Environm Zhengzhou Peoples R China China Three Gorges Univ Hubei Key Lab Intelligent Vis Based Monitoring Hy Yichang Peoples R China China Three Gorges Univ Coll Comp & Informat Technol Yichang Peoples R China

ISBN: (纸本)9798400709777

With the continuous optimization of methods for acquiring high-resolution and high-precision elevation data, the efficiency of traditional manual contouring plotting has become increasingly difficult to satisfy the rapid growth of practical demands. Automatic contouring technology, leveraging its ability to automatically generate contour lines from discrete point elevation data, has significantly reduced labor and resource costs while ensuring consistent results. This has led to its widespread application in terrain analysis. The capability of current general algorithms and software to capture subtle geomorphological features when dealing with the complexity of inland water terrains remains limited. This paper reviews some of the mainstream algorithms in automatic contouring, including interpolation methods based on regular grids and irregular triangular meshes, as well as line-tracing methods. Additionally, it elucidates several major automatic contouring software systems, such as the EPS software system developed by Tsinghua Shanwei Company and the ArcGIS platform, and emphasizes the application prospects of hybrid programming techniques combining VC++ and MATLAB in this field. Future research should focus on developing specialized contouring algorithms tailored for the unique geomorphology of inland water areas, designing integrated and efficient hybrid algorithm systems, and developing professional integrated software. Automation technologies should be incorporated throughout the entire mapping workflow to further enhance the accuracy and applicability of inland water contouring.

关键词： Automatic contour mapping Inland water topography interpolation algorithms

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The Fourier series interpolation method for the solution of the SDARE

The Fourier series interpolation method for the solution of ...

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UKACC International Conference on Control 2010

作者： S. Muhammad J. van der Woude Delft Institute of Applied Mathematics Delft University of Technology Delft Netherlands

ISBN: (纸本)9781627481199

In this paper, we propose the Fourier series interpolation (FSI) method for the solution of the SDARE* in which the state dependency of the coefficient matrices is of periodic nature. In particular, we focus on the SDAREs where the system matrix depends on a single state component in a periodic way. The main advantage of the FSI approach is that the Fourier coefficients are computed offline. This in turn results in significant reduction in online computations for the solution of the SDARE. The implementation and performance of the FSI method is explained by considering the dynamical positioning (DP) problem of a ship. This problem has been studied by using the SDARE controller and observer. This requires online computation of the solution of the SDAREs. We show that the FSI method significantly reduces the online computation time in comparison with the MATLAB routine “care” in a situation where online solution of the SDARE is required. The FSI method can be particularly useful in situations involving the systems having small time constants.

关键词： Riccati equations interpolation algorithms Nonlinear systems Control system design State estimation Kalman filters Solutions Solution Fourier series computational time interpolation Fourier coefficients

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High Performance Machine-Tool Computer Control

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CIRP Annals - Manufacturing Technology 1988年第1期37卷 385-388页

作者： Boucher, P. Boujon, Ph. Buchet, Th. Duchaine, P.J. Ecole Supérieure d'Electricité Gif sur Yvette France

Abstract: We are presenting there the main developments in a large research program, which is aimed at improving the performance of machine tools, with varied features, using the large potential of digital techniques. With simulation models and specific equipement, the following domains have been treated successfully: -Position digital control servosystems. -Control design with new algorithms of trajectory generation and interpolation (B - Spline). This paper describes schedule of conditions and the architecture of the C.N.C able to integrate these improvements and future developments. A prototype has been designed with an industrial computer (OEM). © 1988 CIRP.

关键词： accuracy performances computer numerical control cutting feed-drives hierachical multiprocessor computer interpolation algorithms laser Machine-tools

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