scholarly journals Alat Bantu Prediksi Kecepatan pada Gerak Lurus Berubah Beraturan Menggunakan Metode Interpolasi Berdimensi Satu

2020 ◽  
Vol 2 (2) ◽  
pp. 47-54
Author(s):  
Nurullaeli Nurullaeli
Keyword(s):  
Nearest Neighbor ◽  
Interpolation Method ◽  
Spline Interpolation ◽  
Cubic Spline ◽  
Graphic User Interface ◽  
Prediction Tool ◽  
Linear Motion ◽  
Interpolation Methods ◽  
Speed Prediction ◽  
Matlab Programming

The purpose of this study is to create a speed prediction tool in a uniformly accelerated linear motion using a single-dimensional interpolation method consisting of linear, cubic, cubic spline, and nearest neighbor interpolation methods. This tool is packaged in the form of Graphic User Interface (GUI) using Matlab programming language. This tool can be used as a medium of the analysis of the object speed experiencing a uniformly accelerated linear motion and a combination of several uniformly accelerated linear motions. Speed prediction results using linear, cubic, and cubic spline interpolation methods do not differ much from the results of analytical calculations, while speed prediction results using nearest neighbor interpolation method are less in line with the results of analytical calculations because nearest neighbor interpolation method will generate constant values around the data point.  This tool can also be used as a learning medium to make it easier for students to learn the concept of uniformly accelerated linear motion in order to reduce the misconceptions in the material.

An Improving Method for Background Correction in Laser Induced Breakdown Spectroscopy

2015 ◽  
Vol 751 ◽  
pp. 86-91 ◽  
Author(s):  
Bo Zhang ◽  
Lan Xiang Sun ◽  
Hai Bin Yu
Keyword(s):  
Signal Analysis ◽  
Interpolation Method ◽  
Spline Interpolation ◽  
Cubic Spline ◽  
Background Correction ◽  
Laser Induced Breakdown Spectroscopy ◽  
Cubic Spline Interpolation ◽  
Interpolation Methods ◽  
Breakdown Spectroscopy ◽  
Laser Induced Breakdown

Background correction is an essential part in LIBS signal analysis. The interpolation method of background correction has major drawbacks. This paper introduces an interpolation method to overcome the shortcomings of linear and cubic spline interpolation methods. Finally, we compare different interpolation methods to verify the proposed interpolation method.

scholarly journals Error Analysis for a Noisy Lacunary Cubic Spline Interpolation and a Simple Noisy Cubic Spline Quasi Interpolation

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Feng-Gong Lang ◽  
Xiao-Ping Xu
Keyword(s):  
Error Analysis ◽  
Error Bounds ◽  
Interpolation Method ◽  
Spline Interpolation ◽  
Cubic Spline ◽  
The Other ◽  
Cubic Spline Interpolation ◽  
Numerical Tests ◽  
New Methods ◽  
Noisy Function

We mainly present the error analysis for two new cubic spline based methods; one is a lacunary interpolation method and the other is a very simple quasi interpolation method. The new methods are able to reconstruct a function and its first two derivatives from noisy function data. The explicit error bounds for the methods are given and proved. Numerical tests and comparisons are performed. Numerical results verify the efficiency of our methods.

Image Interpolation Algorithm Based on Edge Features

2011 ◽  
Vol 50-51 ◽  
pp. 564-567
Author(s):  
Yun Feng Yang ◽  
Xiao Guang Wei ◽  
Zhi Xun Su
Keyword(s):  
Interpolation Method ◽  
Spline Interpolation ◽  
Weighted Average ◽  
Image Interpolation ◽  
Interpolation Process ◽  
Edge Information ◽  
B Spline ◽  
Interpolation Methods ◽  
Distance Weighted ◽  
Edge Features

Image interpolation is used widely in the computer vision. Holding edge information is main problem in the image interpolation. By using bilinear and bicubic B-spline interpolation methods, a novel image interpolation approach was proposed in this paper. Firstly, inverse distance weighted average method was used to reduce image’s noise. Secondly, edge detection operator was used to extract image's edges information. It can help us to select different interpolation methods in the image interpolation process. Finally, we selected bilinear interpolation approach at non-edge regions, and bicubic B-spline interpolation method was used near edges regions. Further more, control vertexes were computed from pixels with calculation formula which has been simplified in the B-spline interpolation process. Experiments showed the interpolated image by the proposed method had good vision results for it could hold image's edge information effectively.

Gait Planning of Humanoid Robot Based on ZMP and Cubic Spline Interpolation

2013 ◽  
Vol 427-429 ◽  
pp. 1394-1397 ◽  
Author(s):  
Xian Lun Wang ◽  
Ping Li ◽  
Fei Qi Yang
Keyword(s):  
Humanoid Robot ◽  
Interpolation Method ◽  
Spline Interpolation ◽  
Cubic Spline ◽  
Smooth Transition ◽  
Cubic Spline Interpolation ◽  
Gait Planning ◽  
Inverted Pendulum Model ◽  
Point Equation ◽  
The Impact

Teaching programming and manual programming are usually used to realize gait planning of humanoid robot. Many methods are lack of the adjustment of center of gravity and lead to the robot walking instability. The gait planning of humanoid robot is solved based on the Linear Inverted Pendulum Model and Zero Moment Point equation in this paper. Two feet trajectories are also planned to realize the smooth transition and overcome the impact during walking with the cubic spline interpolation method. The validation and feasibility of the method proposed in the paper are proved by the results of simulation and experiments.

scholarly journals Vector Autoregressive X (VARX) Modeling for Indonesian Macroeconomic Indicators and Handling Different Time Variations with Cubic Spline Interpolation

2019 ◽  
pp. 175-180
Author(s):  
Ayu Septiani ◽  
I Made Sumertajaya ◽  
Muhammad Nur Aidi
Keyword(s):  
Economic Growth ◽  
Interest Rates ◽  
Time Series Data ◽  
Interpolation Method ◽  
Spline Interpolation ◽  
Cubic Spline ◽  
Series Data ◽  
Cubic Spline Interpolation ◽  
Vector Autoregressive ◽  
Time Variations

This study discusses data handling that has different time variations (for example, data available in quarterly form but the desired data is monthly) in this case the GDP variable in the quarter series, while the other five variables use monthly series, whereas in multivariate analysis the data condition must be the same, then an approach is taken to reduce monthly data from quarterly data using the interpolation method. Therefore, before conducting the VARX analysis the author interpolated GDP data from the quarter to monthly by interpolation. After the data is ready, VARX modeling of the exchange rate, economic growth (GDP), interest rates on Bank Indonesia Certificates (SBI), and inflation as endogenous variables and US interest rates (FFR) and US inflation as exogenous variables. The purpose of this study is to implement and evaluate the performance of Cubic Spline interpolation methods for time series data that have different time variations. Build VARX models and predict exchange rates, economic growth (GDP), SBI interest rates, and inflation based on US interest rates (FFR) and US inflation with the best models. Meanwhile, the interpolation method used by researchers to estimate the monthly value of the GDP variable based cubic spline interpolation. Based on the AIC value of the smallest VARX model obtained at 240.6668 so the best model obtained is the VARX (4.0) model.

Interpolation Method Research and Precision Analysis of GPS Satellite Position

2018 ◽  
Vol 6 (3) ◽  
pp. 277-288
Author(s):  
Jianmin Wang ◽  
Yabo Li ◽  
Huizhong Zhu ◽  
Tianming Ma
Keyword(s):  
Lagrange Interpolation ◽  
Hermite Interpolation ◽  
Interpolation Method ◽  
Spline Interpolation ◽  
Cubic Spline ◽  
Newton Interpolation ◽  
Cubic Spline Interpolation ◽  
Satellite Position ◽  
Precise Ephemeris ◽  
Better Than

Abstract According to the precise ephemeris has only provided satellite position that is discrete not any time, so propose that make use of interpolation method to calculate satellite position at any time. The essay take advantage of IGS precise ephemeris data to calculate satellite position at some time by using Lagrange interpolation, Newton interpolation, Hermite interpolation, Cubic spline interpolation method, Chebyshev fitting method respectively, which has a deeply analysis in the precision of five interpolations. The results show that the precision of Cubic spline interpolation method is the worst, the precision of Chebyshev fitting is better than Hermite interpolation method. Lagrange interpolation and Newton interpolation are better than other methods in precision. Newton interpolation method has the advantages of high speed and high precision. Therefore, Newton interpolation method has a certain scientific significance and practical value to get the position of the satellite quickly and accurately.

Cubic Spline Interpolation Method for the Envelope Tracking of Middle and Low Frequency Voltage Flicker

2014 ◽  
Vol 960-961 ◽  
pp. 704-709 ◽  
Author(s):  
Xiu Fang Jia ◽  
Hai Qing An ◽  
Shao Guang Zhang
Keyword(s):  
Interpolation Method ◽  
Spline Interpolation ◽  
Low Frequency ◽  
Cubic Spline ◽  
Time Varying ◽  
Envelope Tracking ◽  
Low Frequencies ◽  
Cubic Spline Interpolation ◽  
Signal Simulation ◽  
Voltage Flicker

Flicker envelope tracking is the key of analyzing voltage flicker signal. A novel method, i.e., cubic spline interpolation method is applied in the detection of the voltage flicker envelope. The typical flicker signals, such as one or multi-frequencies and frequency time-varying flicker signal are selected and analyzed by this method. Simulation results indicate that this method is effective in the detection of the envelope of voltage flicker signal. Results of one or multi-frequencies flicker signal simulation show that, when flicker frequency is less than 15Hz , the error of this method is quite tiny. The detection precision of this method is higher, especially in the scope of low frequencies of flicker and this method makes up for the disadvantage of square demodulation. Furthermore, results of frequency time-varying flicker signal simulation show that, the occurrence and recover time of voltage flicker signal can be accurately detected by cubic spline interpolation method.

Powerful Interpolation Method Demonstrated on Experimental Data From Fast Response Pressure Transducers in a Turbofan Engine

2016 ◽  
Author(s):  
Felix Kern ◽  
Stefan Bindl ◽  
Marcel Stößel ◽  
Svenja Aberle ◽  
Reinhard Niehuis
Keyword(s):  
Experimental Data ◽  
Interpolation Method ◽  
Spline Interpolation ◽  
Scientific Practice ◽  
Sampling Rate ◽  
Fast Response ◽  
Turbofan Engine ◽  
Pressure Transducers ◽  
Interpolation Methods ◽  
Response Pressure

Interpolation is a common procedure in scientific practice. In many cases, linear interpolation is tacitly applied in order to present measurements or numerical results. The application of sophisticated interpolation methods is rather rare, even though they can help to extract more information from a measurement, especially if the resolution is relatively low. This paper presents an interpolation method and a validation procedure, which is demonstrated on experimental data from a low pressure compressor of a twin spool turbofan engine. As a research test vehicle the Larzac 04 turbofan engine is used, which is equipped with extensive instrumentation and control systems. This publication focuses on the high speed pressure transducers mounted directly above the tip of the first LPC rotor blades. Besides the installation of those sensors in a jet engine, the processing, the storage, and the analysis of the data is challenging, as the sampling rate is extraordinary high (1 MHz). Those sampling rates result in a high circumferential resolution (1 MHz ≙ 2.69 samples per mm at 90% rel. spool speed) compared to the relatively low geometrical resolution of the nine axial sensors (0.23 samples per mm). Therefore, sophisticated interpolation methods are applied on the data points in axial direction, aiming to get the best possible result from the acquired data. A major part of this paper is the discussion and validation of several different interpolation methods. Especially with the Akima sub-spline interpolation, very promising results were obtained. Finally, some of the results from the fast response pressure transducers are presented. The casing wall pressure distribution and some flow phenomena at the design operating point are compared to the corresponding near stall conditions.

Interpolation Technology and its Application in Damage Analysis of Bridge Structure

2012 ◽  
Vol 446-449 ◽  
pp. 1261-1265
Author(s):  
Ke Ding
Keyword(s):  
Test Data ◽  
Interpolation Method ◽  
Spline Interpolation ◽  
Cubic Spline ◽  
Modal Parameters ◽  
Damage Analysis ◽  
Bridge Structure ◽  
Cubic Spline Interpolation ◽  
Structure Damage ◽  
Damage Location

The damage analysis based on the modal parameters usually need to compare the test data with the computed data by theoretical analysis. In bridge structure damage analysis, it is impossible that the sensors are set at every node. So the test data need to be extended to every node by using interpolation technology. In the paper, three interpolation methods, cubic interpolation method, cubic spline interpolation method and sinc interpolation method, are introduced. Their applications in bridge structure damage analysis are discussed. The experiment results show that the best interpolation method is cubic spline interpolation method. Using the data processed by interpolation technology can well obtain the damage location of bridge.

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