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. …”
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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. …”
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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. …”
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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. …”
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Trajectory Planning of Camellia Oleifera Pollen Picking Manipulators Based on an Improved Particle Swarm Optimization Algorithm by Li Jun, Zhao Qing, Li Lijun, Wu Zechao, Guo Xin, Fan Ziyan, Gong Hongbin

“…This method takes time as the fitness function and effectively combines 5-5-5 polynomial interpolation function with IPSO algorithm. The comparison between traditional genetic algorithm (SGA) and traditional particle swarm optimization (SPSO) shows that the IPSO algorithm can be better applied to the time optimal trajectory planning of camellia oleifera pollen picking manipulators.…”
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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. …”
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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.…”
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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. …”
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Measurement System of Gear Dynamic Transmission Error based on Optical Encoder by Liang Zhihao, Zhao Kegang, Liu Yanwei, Ye Jie

“…The collected pulse signals are then counted and interpolated to obtain angle sequences based on uniform time sampling. …”
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Design and Optimization of Trapezoidal Steering Mechanism based on Improved Particle Swarm Algorithm by Jianhua Zhai, Laiqi Qiu, Xiaohua Wei, Dongshan Yang

“…The traditional particle swarm optimization algorithm is introduced into the adaptive weights and Lagrange interpolation method to improve the algorithm. The method of solving the optimization model of nonlinear steering mechanism is given， the M-file of Matlab R2018b with improved particle swarm algorithm and solving the nonlinear model is written to analyze the optimization of steering mechanism. …”
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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. …”
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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’. …”
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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. …”
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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. …”
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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. …”
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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. …”
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Unstructured Grid Solutions for Incompressible Laminar Flow over a Circular Cylinder Using a Particular Finite Volume-Finite Element Method by Mahdi Yousefifard, Parviz Ghadimi, Rahim Zamanian

“…The cell face velocities in the discretization of the continuity and momentum equations are calculated by a combined linear and momentum interpolation scheme, respectively, and their performances are compared. …”
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Integrating the Finite Element Method with a Data-Driven Approach for Dam Displacement Prediction by Chenfei Shao, Chongshi Gu, Zhenzhu Meng, Yating Hu

“…Moreover, with a Lagrange polynomial interpolation, we can obtain the distribution field of elastic modulus, rather than gaining one value for the whole dam in previous studies. …”
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New Role of Thermal Mapping in Winter Maintenance with Principal Components Analysis by Mario Marchetti, Lee Chapman, Abderrahmen Khalifa, Michel Buès

“…Principal components analysis is used to interpolate between individual thermal mapping surveys to build a thermal map (or even a road surface temperature forecast), for a wider range of climatic conditions than that permitted by traditional surveys. …”
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Far-Field Pattern Reconstruction from Near-Field Data Collected via a Nonconventional Plane-Rectangular Scanning: Experimental Testing by Francesco D’Agostino, Ilaria De Colibus, Flaminio Ferrara, Claudio Gennarelli, Rocco Guerriero, Massimo Migliozzi

“…A two-dimensional optimal sampling interpolation formula allows the reconstruction of the NF data at any point on the measurement plane and, in particular, at those required by the classical NF-FF transformation with the conventional plane-rectangular scanning. …”
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