High-Efficiency Dynamic Modeling of a Helical Spring Element Based on the Geometrically Exact Beam Theory by Jian Zhang, Zhaohui Qi, Gang Wang, Shudong Guo

“…Unlike the traditional spliced curved beam element method, the helical spring element is described with curvature vector and axial strain by establishing and spline-interpolating a function of the radius, the height, the polar angle, and the torsion angle of the whole spring. …”
Get full text

Semi-Idealized Study on Estimation of Partly and Fully Space Varying Open Boundary Conditions for Tidal Models by Jicai Zhang, Haibo Chen

“…In the first strategy, the OBC is assumed to be partly space varying and generated by linearly interpolating the values at selected feature points. …”
Get full text

Clustering analysis of Yue opera character tone trends based on quantum particle swarm optimization for fuzzy C-means. by Yuhang Zhang, Xiaofeng Wu, Jiawei Xu, Zihao Ning, Xiao Han

“…This study develops an innovative method for analyzing and clustering tonal trends in Chinese Yue Opera to identify different vocal styles accurately. Linear interpolation is applied to process the time series data of vocal melodies, addressing inconsistent feature dimensions. …”
Get full text

A New Mathematical Model for Food Thermal Process Prediction by Dario Friso

“…Because the mathematical model can be used to predict the intermediate values of any combination of inputs, avoiding the storage requirements and the interpolation of 57 Stumbo’s tables, it allows a quick and easy automation of thermal process calculations and to perform these calculations using a spreadsheet.…”
Get full text

Evaluation and improvement of the vertical accuracy of the global open DEM under forest environment by Jiapeng Huang, Xiaozhu Yang

“…Finally, optimizing FABDEM based on the mathematical interpolation method using GEDI02_A reduces the RMSE from 8.46 m to 6.83 m. …”
Get full text

An Effective Approach to Improving Low-Cost GPS Positioning Accuracy in Real-Time Navigation by Md. Rashedul Islam, Jong-Myon Kim

“…In addition, we compared the proposed approach with two other state-of-the-art methods: recursive averaging and ARMA interpolation. The experimental results show that the proposed approach outperforms other state-of-the-art methods in terms of positioning accuracy.…”
Get full text

Dynamics of revolving D-branes at short distances by Satoshi Iso, Noriaki Kitazawa, Hikaru Ohta, Takao Suyama

“…Abstract We study the behavior of the effective potential between revolving Dp-branes at all ranges of the distance r, interpolating r » ls and r « ls (ls is the string length). …”
Get full text

A Compact Representation for 3D Animation Using Octrees and Affine Transformations by Youyou Wang, Guilherme N. DeSouza

“…Compared to other methods that use tri-linear interpolation, Principle Component Analysis (PCA), or non-rigid partitioning (e.g., FAMC) our algorithm combines the best attributes in most of them. …”
Get full text

Numerical Study of Violent Impact Flow Using a CIP-Based Model by Qiao-ling Ji, Xi-zeng Zhao, Sheng Dong

“…The model governed by the Navier-Stokes equations with free surface boundary conditions is solved by a Constrained Interpolation Profile (CIP)-based high-order finite difference method on a fixed Cartesian grid system. …”
Get full text

Analysis of Vibration and Wave Propagation in Cylindrical Grid-Like Structures by Sang Min Jeong, Massimo Ruzzene

“…Each cell here is modelled as an assembly of curved beam elements, formulated according to a mixed interpolation method. The combined application of this Finite Element formulation and the theory of two-dimensional periodic structures is used to generate the phase constant surfaces, which define, for the considered cell lay-out, the directions of wave propagation at assigned frequencies. …”
Get full text

Application of the ESRI Geostatistical Analyst for Determining the Adequacy and Sample Size Requirements of Ozone Distribution Models in the Carpathian and Sierra Nevada Mountains by Witold Fraczek, Andrzej Bytnerowicz, Michael J. Arbaugh

“…The adequacy of the spatially interpolated ozone (O3) concentrations and sample size requirements for ozone passive samplers was also examined. …”
Get full text

PV Power Forecasting in the Hexi Region of Gansu Province Based on AP Clustering and LSTNet by Xujiong Li, Guoming Yang, Jun Gou

“…The Pearson correlation coefficient is used to determine the strong correlation between meteorological factors of photovoltaic power, and the bilinear interpolation method is used to encrypt the meteorological data of the corresponding photovoltaic station cluster. …”
Get full text

Study on Missing Data Filling Algorithm of Nuclear Power Plant Operation Parameters by Tianshu Wang, Ren Yu, Qiao Peng

“…The results shows that the designed algorithm performs much better than the mean interpolation method and LSTM.…”
Get full text

A Study on the Dynamic Behaviour of Lightweight Gears by Shadi Shweiki, Antonio Palermo, Domenico Mundo

“…The angle-dependent mesh stiffness function is computed in a preparation phase through detailed Finite Element (FE) simulations and then stored in a lookup table, which is then interpolated during the dynamic simulation allowing for high computational efficiency. …”
Get full text

A comparative analysis for crack identification in structural health monitoring: a focus on experimental crack length prediction with YUKI and POD-RBF by Zenzen, Roumaissa, Ayadi, Ayoub, Benaissa, Brahim, Belaidi, Idir, Sukic, Enes, Khatir, Tawfiq

“…This study presents an innovative methodology that synergistically combines Proper Orthogonal Decomposition and Radial Basis Function interpolation for predicting structural responses based on crack parameters. …”
Get full text

Research on integrated 3D geological modeling of vector grid ——taking the core area of Tianfu New Area as an example by Ming Hao, Peiyao Xie, Huan Liu, Bo Wang, Fang Zhou, Xianglong Zeng, Yang Lei, Deng Pan, Guokun Liao

“…To solve this problem, this paper takes the core business district of Tianfu New District of Chengdu city as the research area and the urban geological survey of Chengdu city as the data base, adopts the borehole-based rapid modelling technology to build the urban 3D geological structure model, uses the grid segmentation and attribute interpolation to realise the model integration, and builds the vector grid integrated 3D geological model of ‘one model, multiple expressions’. …”
Get full text

T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ deformations from AdS2 to dS2 by Sergio E. Aguilar-Gutierrez, Andrew Svesko, Manus R. Visser

“…We explore two distinct ways to achieve this: either through so-called centaur geometries that interpolate between AdS2 and dS2, or by a spherical dimensional reduction of T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ + Λ2 theories that were proposed to give a microscopic interpretation of three-dimensional de Sitter entropy. …”
Get full text

A Real-Time Angle- and Illumination-Aware Face Recognition System Based on Artificial Neural Network by Hisateru Kato, Goutam Chakraborty, Basabi Chakraborty

“…Though MLP is trained using a few registered images with different orientation, due to generalization property of MLP, interpolation of features for intermediate orientation angles was possible. …”
Get full text

A Transformer Encoder Approach for Localization Reconstruction During GPS Outages from an IMU and GPS-Based Sensor by Kévin Cédric Guyard, Jonathan Bertolaccini, Stéphane Montavon, Michel Deriaz

“…Additionally, it incorporates position interpolation to ensure smooth transitions between active GPS and GPS outage phases. …”
Get full text

Relationship between Damage Rate of High-Voltage Electrical Equipment and Instrumental Seismic Intensity by Rushan Liu, Mingpan Xiong, Deyuan Tian

“…The instrumental seismic intensity at strong motion observation stations in the Wenchuan earthquake is calculated, and the Kriging interpolation method is used to estimate the instrumental seismic intensity at 110 kV and above voltage level substations in Mianyang, Deyang, Guangyuan, and Chengdu of Sichuan Province. …”
Get full text