A New Pixels Flipping Method for Huge Watermarking Capacity of the Invoice Font Image by Li Li, Qingzheng Hou, Jianfeng Lu, Qishuai Xu, Junping Dai, Xiaoyang Mao, Chin-Chen Chang

“…The proposed interpolation method ensures that the invoice image keeps features well after scaling. …”
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Development of a Driving Cycle for Fuzhou Using K-Means and AMPSO by Minrui Zhao, Hongni Gao, Qi Han, Jiaang Ge, Wei Wang, Jue Qu

“…First, bad data in the original dataset are preprocessed, the time-series standard smoothing algorithm is used to smoothen the data, and Lagrange’s interpolation is used to realize data interpolation. …”
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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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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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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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Adaptive Fringe Projection for 3D Shape Measurement with Large Reflectivity Variations by Using Image Fusion and Predicted Search by Wei Feng, Shaojing Tang, Xiaodong Zhao, Guodong Sun, Daxing Zhao

“…This paper proposes a flexible and adaptive digital fringe projection method based on image fusion and interpolated prediction search algorithm. The multiple mask images are fused to obtain the required saturation threshold, and the interpolated prediction search algorithm is used to calculate the optimal projection gray-level intensity. …”
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Three-Dimensional Non-Uniform Sampled Data Visualization from Multibeam Echosounder Systems for Underwater Imaging and Environmental Monitoring by Wenjing Cao, Shiliang Fang, Chuanqi Zhu, Miao Feng, Yifan Zhou, Hongli Cao

“…To tackle the challenges associated with spatially non-uniform sampling, the proposed method employs linear interpolation along the radial direction and arc length weighted interpolation in the beam direction. …”
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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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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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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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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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Spatial Distribution of Tropospheric Ozone in National Parks of California: Interpretation of Passive-Sampler Data by John D. Ray

“…This point is illustrated with some kriged interpolation maps of ozone statistics. Passive ozone samplers were used to get elevational gradients and spatial distributions of ozone within a park. …”
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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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Analysis of Laminated Shells by Murakami’s Zig-Zag Theory and Radial Basis Functions Collocation by D. A. Maturi, A. J. M. Ferreira, A. M. Zenkour, D. S. Mashat

“…The equations of motion and the boundary conditions are obtained by Carrera’s Unified Formulation and further interpolated by collocation with radial basis functions.…”
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