scholarly journals Convergence of Quintic Spline Interpolation

2013 ◽  
Vol 67 (15) ◽  
pp. 12-16
Author(s):  
Y. P.Dubey ◽  
Anil Shukla
Keyword(s):  
Spline Interpolation ◽  
Quintic Spline ◽  
Quintic Spline Interpolation

Quintic Spline Interpolation With Minimal Feed Fluctuation

Manufacturing ◽  
2003 ◽  
Author(s):  
Kaan Erkorkmaz ◽  
Yusuf Altintas
Keyword(s):  
Interpolation Method ◽  
Spline Interpolation ◽  
Tracking Error ◽  
Arc Length ◽  
Tracking Accuracy ◽  
Structural Vibrations ◽  
Quintic Spline ◽  
The Relationship ◽  
Quintic Spline Interpolation ◽  
Spline Parameter

This paper presents a parameterization and an interpolation method for quintic splines, which result in a smooth and consistent feedrate profile. The discrepancy between the spline parameter and the actual arc length leads to undesirable feed fluctuations and discontinuity, which elicit themselves as high frequency acceleration and jerk harmonics, causing unwanted structural vibrations and excessive tracking error. Two different approaches are presented that alleviate this problem: The first approach is based on modifying the spline toolpath so that it is optimally parameterized with respect to its arc length. The second approach is based on scheduling the spline parameter to accurately yield the desired arc displacement (i.e. feedrate), either by approximation of the relationship between the arc length and the spline parameter with a feed correction polynomial, or by solving the spline parameter iteratively in real-time at each interpolation step. The two approaches are compared to nearly arc length parameterized C3 quintic spline interpolation in terms of feedrate consistency and experimental tracking accuracy.

scholarly journals FIFTH-ORDER COMPUTATIONAL METHOD (QSI-METHOD) FOR CONVECTION TERMS BASED ON QUINTIC SPLINE INTERPOLATION

2001 ◽  
Vol 45 ◽  
pp. 571-576
Author(s):  
Satoru USHIJIMA ◽  
Iehisa NEZU ◽  
Michio SANJOU ◽  
Yukiko SAKANE
Keyword(s):  
Spline Interpolation ◽  
Computational Method ◽  
Quintic Spline ◽  
Fifth Order ◽  
Quintic Spline Interpolation

scholarly journals Manipulator Trajectory Control Combined with Moving Average Filtering Algorithm

2022 ◽  
Author(s):  
Jian-Jun Meng ◽  
Xiao-Tong Chen ◽  
Wen-Zhe Qi ◽  
De-Cang Li ◽  
Ru-Xun Xu
Keyword(s):  
Control Algorithm ◽  
Spline Interpolation ◽  
Moving Average ◽  
Angular Acceleration ◽  
Maximum Velocity ◽  
Trajectory Control ◽  
Interpolation Algorithm ◽  
Quintic Spline ◽  
Filtering Algorithm ◽  
Quintic Spline Interpolation

Abstract To solve the problem of abnormal angular velocity and angular acceleration in manipulator trajectory motion controlled by quintic spline interpolation algorithm, a manipulator trajectory control algorithm combined with moving average filtering algorithm was proposed. Based on the quintic spline interpolation algorithm, the moving average filtering algorithm was used to clean the abnormal data under the quintic spline interpolation. And the recursive forward dynamics model based on joint space motion was used to design the trajectory motion control of the manipulator. The simulation results show that the manipulator trajectory control algorithm combined with the moving average filtering algorithm has strong constraint ability of diagonal velocity and angular acceleration, and 67% of the maximum velocity and maximum acceleration of the joint axis of the designed manipulator trajectory are significantly reduced, and the curve is smoother.

Application of Workpiece Image Enlarge and Shape Control with Quintic Spline Interpolation

2011 ◽  
Vol 121-126 ◽  
pp. 3165-3169
Author(s):  
Ju Bao Qu
Keyword(s):  
Shape Control ◽  
Spline Interpolation ◽  
Surface Shape ◽  
Interpolation Function ◽  
Control Performance ◽  
Workpiece Surface ◽  
Quintic Spline ◽  
Cad Cam ◽  
Quintic Spline Interpolation ◽  
Interpolation Functions

The workpiece processing is sometimes necessary to obtain details of the magnified image. Especially in the CAD, CAM and CNC applications in the field. This article constructs a rational quintic spline interpolation, and interpolation used in the image to enlarge, by the five local parameter interpolation function has the shape control performance, making the image zoom in or out of, according to the need for control. Experimental results show that the interpolation functions of the five constructed in effect in the workpiece, surface shape control.

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