Cubic spline interpolations in CNC machining

Wan Ruslan, Wan Yusoff and Ismayuzri, Ishak and Fadhlur Rahman, Mohd Romlay (2022) Cubic spline interpolations in CNC machining. In: Lecture Notes in Electrical Engineering; Innovative Manufacturing, Mechatronics and Materials Forum, iM3F 2020 , 6 August 2020 , Gambang, Kuantan. pp. 253-261., 730 (262829). ISSN 1876-1100 ISBN 978-981334596-6

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Abstract

A cubic spline polynomial is applied to control the machine tool movements defined by the spline. This paper is an attempt to implement cubic spline interpolation in computer numerical method (CNC) machining. Three different C++ interpolation libraries were studied: Boost, Alglib and TK spline. The goals are to compare the accuracy of interpolation and the ease of implementation of the libraries. Twenty cubic spline interpolant functions were calculated using a selected test function One thousand interpolated points were calculated using the three different cubic spline interpolation libraries. Based on findings in this work, the Boost library is best on accuracy based on RMSE (root mean square error), while the TK spline library is simplest to implement in software code. The Alglib library is the most complicated in setup, and its accuracy is similar to the TK spline library. Included at the end of this report are the C++ cubic spline source codes, results of code executions and visual plots confirming the correctness of this work.

Item Type:	Conference or Workshop Item (Lecture)
Additional Information:	Indexed by Scopus
Uncontrolled Keywords:	Computer numerical method; Cubic; Interpolation; Polynomial; Spline
Subjects:	T Technology > T Technology (General) T Technology > TA Engineering (General). Civil engineering (General) T Technology > TJ Mechanical engineering and machinery T Technology > TK Electrical engineering. Electronics Nuclear engineering T Technology > TS Manufactures
Faculty/Division:	Institute of Postgraduate Studies College of Engineering Faculty of Manufacturing and Mechatronic Engineering Technology Faculty of Mechanical and Automotive Engineering Technology
Depositing User:	Mr Muhamad Firdaus Janih@Jaini
Date Deposited:	02 Jan 2024 01:22
Last Modified:	02 Jan 2024 01:22
URI:	http://umpir.ump.edu.my/id/eprint/39822
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