Designing of skull defect implants using C1 rational cubic Bezier and offset curves
Some of the reasons to construct skull implant are due to head trauma after an accident or an injury or an infection or because of tumor invasion or when autogenous bone is not suitable for replacement after a decompressive craniectomy (DC). The main objective of our study is to develop a simple met...
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing LLC.
2015
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| Online Access: | http://umpir.ump.edu.my/id/eprint/20053/ http://umpir.ump.edu.my/id/eprint/20053/1/AIP%20icomeia2014.pdf |
| _version_ | 1848821004966559744 |
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| author | Najihah, Mohamed Ahmad, Abd Majid Abd Rahni, Mt Piah Zainul, Ahmad Rajion |
| author_facet | Najihah, Mohamed Ahmad, Abd Majid Abd Rahni, Mt Piah Zainul, Ahmad Rajion |
| author_sort | Najihah, Mohamed |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | Some of the reasons to construct skull implant are due to head trauma after an accident or an injury or an infection or because of tumor invasion or when autogenous bone is not suitable for replacement after a decompressive craniectomy (DC). The main objective of our study is to develop a simple method to redesign missing parts of the skull. The procedure begins with segmentation, data approximation, and estimation process of the outer wall by a C1 continuous curve. Its offset curve is used to generate the inner wall. A metaheuristic algorithm, called harmony search (HS) is a derivative-free real parameter optimization algorithm inspired from the musical improvisation process of searching for a perfect state of harmony. In this study, data approximation by a rational cubic Bézier function uses HS to optimize position of middle points and value of the weights. All the phases contribute significantly in making our proposed technique automated. Graphical examples of several postoperative skulls are displayed to show the effectiveness of our proposed method. |
| first_indexed | 2025-11-15T02:18:28Z |
| format | Conference or Workshop Item |
| id | ump-20053 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T02:18:28Z |
| publishDate | 2015 |
| publisher | AIP Publishing LLC. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-200532018-06-06T02:51:01Z http://umpir.ump.edu.my/id/eprint/20053/ Designing of skull defect implants using C1 rational cubic Bezier and offset curves Najihah, Mohamed Ahmad, Abd Majid Abd Rahni, Mt Piah Zainul, Ahmad Rajion QA Mathematics Some of the reasons to construct skull implant are due to head trauma after an accident or an injury or an infection or because of tumor invasion or when autogenous bone is not suitable for replacement after a decompressive craniectomy (DC). The main objective of our study is to develop a simple method to redesign missing parts of the skull. The procedure begins with segmentation, data approximation, and estimation process of the outer wall by a C1 continuous curve. Its offset curve is used to generate the inner wall. A metaheuristic algorithm, called harmony search (HS) is a derivative-free real parameter optimization algorithm inspired from the musical improvisation process of searching for a perfect state of harmony. In this study, data approximation by a rational cubic Bézier function uses HS to optimize position of middle points and value of the weights. All the phases contribute significantly in making our proposed technique automated. Graphical examples of several postoperative skulls are displayed to show the effectiveness of our proposed method. AIP Publishing LLC. 2015-05 Conference or Workshop Item PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/20053/1/AIP%20icomeia2014.pdf Najihah, Mohamed and Ahmad, Abd Majid and Abd Rahni, Mt Piah and Zainul, Ahmad Rajion (2015) Designing of skull defect implants using C1 rational cubic Bezier and offset curves. In: International Conference on Mathematics, Engineering and Industrial Applications, ICoMEIA 2014 , 28-30 May 2014 , Penang; Malaysia. pp. 1-6., 1660 (050003). ISSN 0094243X ISBN 978-073541304-7 (Published) https://www.researchgate.net/profile/Najihah_Mohamed/publication/276849229_Designing_of_skull_defect_implants_using_C1_rational_cubic_Bezier_and_offset_curves/links/5948b4d0458515db1fd71b00/Designing-of-skull-defect-implants-using-C1-rational-cubic-Bezier |
| spellingShingle | QA Mathematics Najihah, Mohamed Ahmad, Abd Majid Abd Rahni, Mt Piah Zainul, Ahmad Rajion Designing of skull defect implants using C1 rational cubic Bezier and offset curves |
| title | Designing of skull defect implants using C1 rational cubic Bezier and offset curves |
| title_full | Designing of skull defect implants using C1 rational cubic Bezier and offset curves |
| title_fullStr | Designing of skull defect implants using C1 rational cubic Bezier and offset curves |
| title_full_unstemmed | Designing of skull defect implants using C1 rational cubic Bezier and offset curves |
| title_short | Designing of skull defect implants using C1 rational cubic Bezier and offset curves |
| title_sort | designing of skull defect implants using c1 rational cubic bezier and offset curves |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/20053/ http://umpir.ump.edu.my/id/eprint/20053/ http://umpir.ump.edu.my/id/eprint/20053/1/AIP%20icomeia2014.pdf |