Cubic spline interpolations in CNC machining
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...
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| Format: | Conference or Workshop Item |
| Language: | English English |
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Springer Science and Business Media Deutschland GmbH
2022
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| Online Access: | http://umpir.ump.edu.my/id/eprint/39822/1/Cubic%20Spline%20Interpolations%20in%20CNC%20Machining.pdf http://umpir.ump.edu.my/id/eprint/39822/2/Cubic%20spline%20interpolations%20in%20CNC%20machining_ABS.pdf |
| _version_ | 1825815369000943616 |
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| author | Wan Ruslan, Wan Yusoff Ismayuzri, Ishak Fadhlur Rahman, Mohd Romlay |
| author_facet | Wan Ruslan, Wan Yusoff Ismayuzri, Ishak Fadhlur Rahman, Mohd Romlay |
| author_sort | Wan Ruslan, Wan Yusoff |
| collection | UMP |
| description | 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. |
| first_indexed | 2024-03-06T13:12:28Z |
| format | Conference or Workshop Item |
| id | UMPir39822 |
| institution | Universiti Malaysia Pahang |
| language | English English |
| last_indexed | 2024-03-06T13:12:28Z |
| publishDate | 2022 |
| publisher | Springer Science and Business Media Deutschland GmbH |
| record_format | dspace |
| spelling | UMPir398222024-01-02T01:22:26Z http://umpir.ump.edu.my/id/eprint/39822/ Cubic spline interpolations in CNC machining Wan Ruslan, Wan Yusoff Ismayuzri, Ishak Fadhlur Rahman, Mohd Romlay T Technology (General) TA Engineering (General). Civil engineering (General) TJ Mechanical engineering and machinery TK Electrical engineering. Electronics Nuclear engineering TS Manufactures 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. Springer Science and Business Media Deutschland GmbH 2022 Conference or Workshop Item PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/39822/1/Cubic%20Spline%20Interpolations%20in%20CNC%20Machining.pdf pdf en http://umpir.ump.edu.my/id/eprint/39822/2/Cubic%20spline%20interpolations%20in%20CNC%20machining_ABS.pdf 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 (Published) https://doi.org/10.1007/978-981-33-4597-3_24 |
| spellingShingle | T Technology (General) TA Engineering (General). Civil engineering (General) TJ Mechanical engineering and machinery TK Electrical engineering. Electronics Nuclear engineering TS Manufactures Wan Ruslan, Wan Yusoff Ismayuzri, Ishak Fadhlur Rahman, Mohd Romlay Cubic spline interpolations in CNC machining |
| title | Cubic spline interpolations in CNC machining |
| title_full | Cubic spline interpolations in CNC machining |
| title_fullStr | Cubic spline interpolations in CNC machining |
| title_full_unstemmed | Cubic spline interpolations in CNC machining |
| title_short | Cubic spline interpolations in CNC machining |
| title_sort | cubic spline interpolations in cnc machining |
| topic | T Technology (General) TA Engineering (General). Civil engineering (General) TJ Mechanical engineering and machinery TK Electrical engineering. Electronics Nuclear engineering TS Manufactures |
| url | http://umpir.ump.edu.my/id/eprint/39822/1/Cubic%20Spline%20Interpolations%20in%20CNC%20Machining.pdf http://umpir.ump.edu.my/id/eprint/39822/2/Cubic%20spline%20interpolations%20in%20CNC%20machining_ABS.pdf |
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