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Cubic Trigonometric Hermite Interpolation Curve: Construction, Properties, and Shape Optimization
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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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 class of quintic Hermite interpolation curve and the free parameters selection
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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A treecode based on barycentric Hermite interpolation for electrostatic particle interactions
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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Real-time quintic Hermite interpolation for robot trajectory execution. [PDF]
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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Hermite interpolation with retractions on manifolds [PDF]
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
Xuli Han, Xiao Guo
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Curve and Surface Construction Using Hermite Trigonometric Interpolant
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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In this paper, we focus on the numerical solution of the second kind of Volterra integral equation with a highly oscillatory Fourier kernel. Based on the calculation of the modified moments, we propose four collocation methods to solve the equations ...
Jianyu Wang, Chunhua Fang, Guifeng Zhang
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Manoeuvring speed estimation of a lane-change system using geometric hermite interpolation
Autonomous vehicles demand a continuous path to provide the passengers with physical ease and relaxation. Smooth experience in autonomous vehicles is very essential and can be accomplished by having good trajectories.
N. A. Othman +3 more
semanticscholar +1 more source

