Fractalization of Fractional Integral and Composition of Fractal Splines by Gowrisankar Arulprakash

“…To elicit this phenomenon, a fractal operator is proposed in the space of continuous functions, an analogue to the existing fractal interpolation operator which perturbs $f$ giving rise to $\alpha$-fractal function $f^\alpha$. …”
Get full text

Low-Complexity Timing Correction Methods for Heart Rate Estimation Using Remote Photoplethysmography by Chun-Chi Chen, Song-Xian Lin, Hyundoo Jeong

“…Through a comparative analysis, this study offers insights into efficient timing correction techniques for enhancing HR estimation from rPPG, particularly suitable for edge-computing applications where low computational complexity is essential. Cubic interpolation can provide robust performance in reconstructing signals but requires higher computational resources, while linear and filter interpolation offer more efficient solutions. …”
Get full text

Radial Kernels Collocation Method for the Solution of Volterra Integro-Differential Equations by Stephen Mkegh Nengem, Friday Haruna, Shalom Danjuma Bitrus

“…Radial kernel interpolation is an advanced method in approximation theory for the construction of higher order accurate interpolants for scattered data up to higher dimensional spaces. …”
Get full text

Inverse Kinematical Solving and Trajectory Planning of Redundant Manipulator by Mingsong Zhang, Jinzhi Xiao, Enheng Wang, Qiao Zhuang

“…Based on the verified kinematics model，a quintic interpolation algorithm based on rough and accurate interpolation is proposed. …”
Get full text

Neural Networks for Operational SYM‐H Forecasting Using Attention and SWICS Plasma Features by Armando Collado‐Villaverde, Pablo Muñoz, Consuelo Cid

“…Then, both models are evaluated in an operational scenario, when only SWEPAM data are available and interpolation can only be performed if the missing values are surrounded by valid measurements. …”
Get full text

On complex L1-predual spaces by Mrinal Kanti Das

“…This paper contains some characterisations of complex L-balls, including interpolation theorems which are analogs of Edward's separation theorem for simplices.…”
Get full text

Temporal Downscaling of Crop Coefficient and Crop Water Requirement from Growing Stage to Substage Scales by Songhao Shang

“…A method was proposed to downscale crop coefficient and water requirement from growing stage to substage scales, which is based on the interpolation of accumulated crop and reference evapotranspiration calculated from their values in growing stages. …”
Get full text

Summary on Several Key Techniques in 3D Geological Modeling by Gang Mei

“…Several key techniques in 3D geological modeling including planar mesh generation, spatial interpolation, and surface intersection are summarized in this paper. …”
Get full text

Construction of Tourism Management Engineering Based on Data Mining Technology by Zhichen Ma

“…The deficiencies of fuzzy positive and negative class boundaries can be effectively solved by oversampling with the cluster center as the base point, and in the case of appropriately expanding the reasonable data interpolation method, the area space of boundary interpolation can be shrunk, and the performance of the algorithm can be improved. …”
Get full text

A SINGULAR INTERVAL RECONSTRUCTION LOCAL MEAN DECOMPOSITION AND ITS APPLICATION IN BEARING FAULT DIAGNOSIS OF RECIPROCATING COMPRESSOR (MT) by ZHAO HaiYang, LI Xue, LIU ZuJian, WANG JinDong, FENG Shuai

“…Combined with the extreme value symmetry theory, the interpolation points in this interval are expanded, and the cubic Hermitian interpolation is used to perform local reconstruction. …”
Get full text

Non-uniform Fourier transform based image classification in single-particle Cryo-EM by ZiJian Bai, Jian Huang

“…However, this process involves interpolation, which can reduce the accuracy of the results. …”
Get full text

Applications of mixed finite element method based on Bernstein polynomials in numerical solution of Stokes equations by Lanyin Sun, Siya Wen

“…However, high-order Lagrange interpolation functions often suffer from the Runge's phenomenon, which limits their effectiveness. …”
Get full text

Impact of image size reducing for image quality assesment by Yu. I. Golub, F. V. Starovoitov, V. V. Starovoitov

“…For this two methods were used: bilinear interpolation and interpolation by the nearest neighbor.22 measures were selected to evaluate image quality. …”
Get full text

A GA-Based BP Artificial Neural Network for Estimating Monthly Surface Air Temperature of the Antarctic during 1960–2019 by Miao Fang

“…Generating spatiotemporally continuous SAT fields using spatial interpolation represents an approach to address this problem. …”
Get full text

On Genocchi Numbers and Polynomials by Seog-Hoon Rim, Kyoung Ho Park, Eun Jung Moon

“…Finally, we construct the Genocchi zeta function which interpolates Genocchi polynomials at negative integers.…”
Get full text

Study of dynamic characteristics of impact of two solid deformable bodies at impact speed of up to 100 m/s by D. I. Chernyavsky, D. D. Chernyavsky

“…As a result of digitizing the graphs of dependencies, interpolation formulas are obtained for different phases of the impact (the first phase of the impact is compression; the second phase of the impact is unloading). …”
Get full text

Application of Radial Basis Function Method for Solving Nonlinear Integral Equations by Huaiqing Zhang, Yu Chen, Chunxian Guo, Zhihong Fu

“…The unknown function was firstly interpolated by MQ functions and then by forming the nonlinear algebraic equations by the collocation method. …”
Get full text

Topology Optimization Design of the Planar 3-RPR Fully Compliant Parallel Mechanism by Sha Sai, Zhang Rongxing, Zhou Lei, An Ziming

“…Based on the differential kinematics of parallel mechanism displacement vector differential mapping relation between input and output,through establishing a planar 3-RPR topology optimization model of fully compliant parallel mechanism（ SIMP interpolation model）,the solution is optimized by using the optimization criterion method（ OC） algorithm,and by using the Heaviside filtering technology,the checkerboard phenomenon is restrained and processed. …”
Get full text

An optimized method for AUV trajectory model in benthonic hydrothermal area based on improved slime mold algorithm by Chunmeng Jiang, Yiming Tang, Jianguo Wang, Wenchao Zhang, Min Zhou, Jiaying Niu, Lei Wan, Guofang Chen, Gongxing Wu, Xide Cheng

“…An improved slime mold algorithm (SMA) was put forward to optimize the interpolating points used in the trajectory modeling. …”
Get full text

An exact symmetry in λ-deformed CFTs by George Georgiou, Eftychia Sagkrioti, Konstantinos Sfetsos, Konstantinos Siampos

“…Abstract We consider λ-deformed current algebra CFTs at level k, interpolating between an exact CFT in the UV and a PCM in the IR. …”
Get full text