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Cubic Trigonometric Hermite Interpolation Curve: Construction, Properties, and Shape Optimization
Journal of Function Spaces, 2022 Cubic Hermite interpolation curve plays a very important role in interpolation curves modeling, but it has three shortcomings including low continuity, difficult shape adjustment, and the inability to accurately represent some common engineering curves ...
Juncheng Li, Chengzhi Liu
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Optimized Design of Direct Digital Frequency Synthesizer Based on Hermite Interpolation. [PDF]
Sensors (Basel)To address the issue of suboptimal spectral purity in Direct Digital Frequency Synthesis (DDFS) within resource-constrained environments, this paper proposes an optimized DDFS technique based on cubic Hermite interpolation.
Zhou K, Xu Q, Zhang T.
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Real-time quintic Hermite interpolation for robot trajectory execution. [PDF]
PeerJ Comput Sci, 2020 This paper presents a real-time joint trajectory interpolation system for the purpose of frequency scaling the low cycle time of a robot controller, allowing a Python application to real-time control the robot at a moderate cycle time.
Lind M.
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Applied Sciences, 2021 As for industrial robots’ point-to-point joint motion planning with constrained velocity, cubic polynomial planning has the problem of discontinuous acceleration; quintic polynomial planning requires acceleration to be specified in advance, which will ...
Yasong Pu +4 more
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A treecode based on barycentric Hermite interpolation for electrostatic particle interactions
Computational and Mathematical Biophysics, 2019 A particle-cluster treecode based on barycentric Hermite interpolation is presented for fast summation of electrostatic particle interactions in 3D. The interpolation nodes are Chebyshev points of the 2nd kind in each cluster.
Krasny Robert, Wang Lei
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A class of quintic Hermite interpolation curve and the free parameters selection
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2019 The classical C2 quintic Hermite interpolation curve not only needs the positions and derivatives but also needs the second-order derivatives as input. For most applications, one has to estimate the second-order derivatives in advance.
Juncheng LI
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Hermite interpolation with retractions on manifolds [PDF]
BIT Numerical Mathematics, 2022 Interpolation of data on non-Euclidean spaces is an active research area fostered by its numerous applications. This work considers the Hermite interpolation problem: finding a sufficiently smooth manifold curve that interpolates a collection of data ...
Axel S'eguin, D. Kressner
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Cubic Hermite interpolation with minimal derivative oscillation
Journal of Computational and Applied Mathematics, 2018 Xuli Han, Xiao Guo
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Curve and Surface Construction Using Hermite Trigonometric Interpolant
Mathematical and Computational Applications, 2021 In this paper, the constructions of both open and closed trigonometric Hermite interpolation curves while using the derivatives are presented. The combination of tension, continuity, and bias control is used as a very powerful type of interpolation; they
Fatima Oumellal, Abdellah Lamnii
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Fast and accurate scattered Hermite interpolation by triangular Shepard operators
Journal of Computational and Applied Mathematics, 2021 The triangular Shepard method is a fast and accurate scheme for interpolating scattered data. In this paper, we introduce an improvement of the triangular Shepard method for interpolating functional and first order derivatives values at the scattered ...
F. Dell'Accio +3 more
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