Research on Improved Hybrid Polynomial Interpolation Algorithm for Rail Inspection Robot

2021 ◽  
Author(s):  
Ruoyu Xu ◽  
Jianyan Tian ◽  
Xinpeng Zhai ◽  
Jifu Li ◽  
Jinrong Zou
2019 ◽  
Vol 11 (2) ◽  
pp. 110-121 ◽  
Author(s):  
Chaoquan Tang ◽  
Gongbo Zhou ◽  
Zhaoxing Gao ◽  
Xin Shu ◽  
Pengpeng Chen

2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Le Zou ◽  
Liangtu Song ◽  
Xiaofeng Wang ◽  
Thomas Weise ◽  
Yanping Chen ◽  
...  

Newton’s interpolation is a classical polynomial interpolation approach and plays a significant role in numerical analysis and image processing. The interpolation function of most classical approaches is unique to the given data. In this paper, univariate and bivariate parameterized Newton-type polynomial interpolation methods are introduced. In order to express the divided differences tables neatly, the multiplicity of the points can be adjusted by introducing new parameters. Our new polynomial interpolation can be constructed only based on divided differences with one or multiple parameters which satisfy the interpolation conditions. We discuss the interpolation algorithm, theorem, dual interpolation, and information matrix algorithm. Since the proposed novel interpolation functions are parametric, they are not unique to the interpolation data. Therefore, its value in the interpolant region can be adjusted under unaltered interpolant data through the parameter values. Our parameterized Newton-type polynomial interpolating functions have a simple and explicit mathematical representation, and the proposed algorithms are simple and easy to calculate. Various numerical examples are given to demonstrate the efficiency of our method.


2017 ◽  
Vol 107 ◽  
pp. 206-211 ◽  
Author(s):  
Zhiyuan Liu ◽  
Xinyang Zhao ◽  
Jichao Sui ◽  
Hongli Wang ◽  
Yongcheng Liu ◽  
...  

2019 ◽  
Vol 11 (4) ◽  
Author(s):  
Gutama Indra Gandha ◽  
Dedi Nurcipto

The ultrasonic range finder sensors are widely used sensor in many applications such as computer applications, general purpose applications, medical applications, automotive applications and industrial grade applications. The ultrasonic range finder sensor has many advantages. The advantages are easy to use, fast in measuring process, non-contact measurement and suitable for air and underwater environment. However, the ultrasonic range finder has deviation especially for low-cost sensor. It affects the accuracy level of the measurement result that performed by its sensor directly. The HC-SR04 categorized as a low-cost ultrasonic range finder sensor. This sensor has significant error level. The improvement of the accuracy level of this low-cost ultrasonic sensor is expected to this research. The Newton’s polynomial interpolation algorithm has been used in this research to reduce the error during the measurement process. The implementation of Newton’s polynomial interpolation has succeeded to improve the sensor accuracy. The MSE level of 29,96 is obtained without the Newton’s Polynomial Interpolation implementation. The implementation of the Newton’s Polynomial Interpolation algorithm has succeeded to increase the accuracy level of the sensor by 55,54%. It has been proofed by the decrease of MSE level by 13,32.


2011 ◽  
Vol 317-319 ◽  
pp. 215-221
Author(s):  
Chang Chun Liang ◽  
Liu Qun Fan ◽  
Dang Jin Qi ◽  
Gang Yi ◽  
Zhuang Miao

According to the principle of parametric curve paths CNC interpolating, a real-time interpolation algorithm based on algebraic index of the micro-segment spline is presented. It’s used to solve the problems of Hermite polynomial interpolation algorithm, which are commonly slow recursive algorithm, poor accuracy of approximation and the limitations of constant parameters increment interpolation. And the constant interpolation is achieved by fitting a first-order Taylor Formula. Simulation results show that the algorithm shortens the interpolation time and also improve the interpolation accuracy; meanwhile, it maintains the stability of the feed rate.


2014 ◽  
Vol 651-653 ◽  
pp. 659-662 ◽  
Author(s):  
Meng Meng Du ◽  
Hai Tao Zhang

In view of the high order, nonlinear characteristics of target trajectory, control strategy is proposed for a kind of RBF neural network and polynomial interpolation combining. According to the specific requirements of trajectory planning, the manipulator in joint space variables are expressed as one or two order derivative function by polynomial interpolation algorithm, then the RBF neural network is used for tracking the target trajectory. Finally, through MATLAB simulation, the accuracy of this method is verified.


2008 ◽  
Vol 19 (10) ◽  
pp. 105106
Author(s):  
D W Koon ◽  
J R Ares ◽  
F Leardini ◽  
J F Fernández ◽  
I J Ferrer

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