Designing of skull defect implants using C1 rational cubic Bezier and offset curves

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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Main Authors: Najihah, Mohamed, Ahmad, Abd Majid, Abd Rahni, Mt Piah, Zainul, Ahmad Rajion
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC. 2015
Subjects:
QA Mathematics
Online Access: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
id ump-20053
recordtype eprints
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 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
repository_type Digital Repository
institution_category Local University
institution Universiti Malaysia Pahang
building UMP Institutional Repository
collection Online Access
language English
topic QA Mathematics
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
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.
format Conference or Workshop Item
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
title 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_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_sort designing of skull defect implants using c1 rational cubic bezier and offset curves
publisher AIP Publishing LLC.
publishDate 2015
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
first_indexed 2023-09-18T22:28:43Z
last_indexed 2023-09-18T22:28:43Z
_version_ 1777416141306593280

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