Enhancing Vehicle Trajectory Quality: A Two‐Step Data Reconstruction Method Using Wavelet Transform and Normal Acceleration Value by Xia Zhang, Yacong Gao, Chenjing Zhou

“…And the vehicle trajectory data were reconstructed using Lagrange interpolation and Kalman filter algorithms. The approach was utilized on NGSIM trajectory data. …”
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Inverse Kinematics Optimization Method of a 6-DOF Robot by Jian Wang, Yu Ao

“…In the Cartesian coordinate system， interpolation of different position points is performed， and the continuous motion between different position points of the robot is realized by solving the pose of different interpolation points. …”
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Assessment of Waterlogging Risk in the Deep Foundation Pit Projects Based on Projection Pursuit Model by Han Wu, Junwu Wang

“…This study puts forward a method for the waterlogging risk assessment of deep foundation pit projects via the combination of a projection pursuit model, particle swarm optimization, and an interpolation algorithm. First, through a comprehensive analysis of the water circulation process in waterlogging and the characteristics of deep foundation pit projects, a risk index system with 11 indicators is identified and constructed. …”
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Spatial Multiple Description Coding for Scalable Video Streams by Roya Choupani, Stephan Wong, Mehmet Tolun

“…Classical multiple description methods interpolate the missing data which results in smoothing and artifact at object boundaries. …”
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Revealing Traces of Image Resampling and Resampling Antiforensics by Anjie Peng, Yadong Wu, Xiangui Kang

“…To reveal the traces left by the interpolation, we first apply multidirectional high-pass filters on an image and the residual to create multidirectional differences. …”
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Stability analysis of linear multistep methods for delay differential equations by V. L. Bakke, Z. Jackiewicz

“…It is known that the solution of this equation is bounded if and only if |a|<−b and we examine whether this property is inherited by multistep methods with Lagrange interpolation and by parametrized Adams methods.…”
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Energy Management Strategies for Extended-Range Electric Vehicles with Real Driving Emission Constraints by Hualong Xu, Yang Chen, Li Zhang, Guoliang Chen, Jinlin Han, Qing Zhang, Chaokai Li

“…In this paper, the real driving emissions of an EREV are investigated, and the abnormal pollutant emissions caused by engine start–stop events are clarified. Accordingly, an interpolated-startup-corrected method is proposed to construct real driving emission models. …”
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Sensitivity analysis for any functions of static elastic systems using combination of adjoint variable method and automatic differentiation for topology optimization by Shun OGAWA, Kazuo YONEKURA, Katsuyuki SUZUKI

“…Additionally, the extended SIMP and Discrete Material Optimization (DMO) methods are investigated as interpolation schemes for material properties in multi-material problems. …”
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On intuitionistic branching tense logic with weak induction by Romas Alonderis

“…The syntactical cut elimination theorem, Harrop's theorem and the interpolation theorem is proved here with respect to the LB J calculus. …”
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Review on 3D audio technology by YIN Fu-liang, WANG Lin, CHEN Zhe

“…The principle of 3D audio technology is introduced.The application of signal processing methods is reviewed in 3D audio from the measurement,computation,interpolation,approximation of head-related transfer functions（HRTF） and the methods for crosstalk cancellation.Finally,crrently hot topics in this area are summarized and the future research trends of 3D audio are discussed.…”
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APPROXIMATELY SINGULAR WAVELET by V. M. Romanchak

“…To illustrate the effectiveness of the numerical approximation algorithm, we consider an example of the quasi-interpolation of the Runge function by wavelets with a uniform distribution of interpolation nodes.…”
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Study on Sub-Regional Weighted Mean Atmospheric Temperature Modeling and Its Application in China by GAO Deheng, ZHANG Wei, SHEN Qinghua

“…With the daily average surface temperature data from 1980 to 2010 provided by the China Meteorology Data Service Center and 64,131 observations in 2015 from 90 sounding stations,we firstly use the diffusion interpolation with barriers for interpolation and then divide the results into eight grades and thirteen districts at a temperature interval of 3.4 K.By experimental analysis,it is found that an approximately exponential function relationship between factors,i.e.…”
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Reconstruction of Velocity Distribution in Partially-Filled Pipe Based on Non-Uniform Under-Sampling by Yulin Jiang, Qingmin Pu, Wenbin Ding

“…Next the node vectors were constructed according to the initial feature points, and the initial interpolation fitting curves are generated. Secondly, by using the relative deviation between the initial approximation curve and each sampled point, new feature points were added where the curve allowable deviation exceeded the specified tolerance, and then a new interpolation fitting curve was obtained. …”
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Optimizing Financial Data Analysis: A Comparative Study of Preprocessing Techniques for Regression Modeling of Apple Inc.’S Net Income and Stock Prices by Ungar Kevin, Oprean-Stan Camelia

“…Through detailed explanations of aggregation, interpolation (linear, polynomial, and cubic spline) and lagged variables methods, the study elucidates the steps taken to transform raw data into analytically rich datasets. …”
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Capabilities of Satellite-Based Precipitation to Estimate the Spatiotemporal Variation of Flood/Drought Class in Poyang Lake Basin by Xianghu Li, Qi Zhang, Xuchun Ye

“…The results show that (1) the 1998–2010 data series are sufficiently robust to depict the statistics characteristics of long period data; (2) the intra-annual distribution and interannual variability of flood/drought classes based on TRMM rainfall data matched well with the results from rain gauges data; (3) the spatial agreement between TRMM and interpolated gauges rainfall varied with the precipitation characteristics; and (4) TRMM rainfall data described the similar spatial pattern of flood/drought classes with the interpolated gauges rainfall. …”
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Approach for designing and modelling of nanoscale DG MOSFET devices using Kriging metamodelling technique by Toufik Bentrcia, Fayçal Djeffal, Elasaad Chebaki

“…In this study, the authors focus mainly on the investigation of Kriging interpolation method to elaborate surrogate models of the nanoscale double‐gate metal oxide silicon field effect transistors (DG MOSFET) analogue/RF performance under critical operational conditions. …”
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A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential Equations by Fenghui Huang

“…The model solution is discretized in time and space with a spectral expansion of Lagrange interpolation polynomial. Numerical results demonstrate the spectral accuracy and efficiency of the collocation spectral method. …”
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Identities of Symmetry for Higher-Order Generalized q-Euler Polynomials by D. V. Dolgy, D. S. Kim, T. G. Kim, J. J. Seo

“…We investigate the properties of symmetry in two variables related to multiple Euler q-l-function which interpolates higher-order q-Euler polynomials at negative integers. …”
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Richardson Cascadic Multigrid Method for 2D Poisson Equation Based on a Fourth Order Compact Scheme by Li Ming, Li Chen-Liang

“…Based on a fourth order compact difference scheme, a Richardson cascadic multigrid (RCMG) method for 2D Poisson equation is proposed, in which the an initial value on the each grid level is given by the Richardson extrapolation technique (Wang and Zhang (2009)) and a cubic interpolation operator. The numerical experiments show that the new method is of higher accuracy and less computation time.…”
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Amending the algorithm of aerosol–radiation interactions in WRF-Chem (v4.4) by J. Feng, C. Zhao, C. Zhao, C. Zhao, C. Zhao, C. Zhao, C. Zhao, Q. Du, Z. Yang, C. Jin

“…However, in the current version, aerosol optical properties are only calculated in four shortwave bands, while only two of them are used to interpolate optical properties towards the 14 shortwave bands used in the Rapid Radiative Transfer Model for Global Climate Models (RRTMG) scheme. …”
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