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Application of cubic trigonometric Hermite interpolation curve with shape parameters in 2 dimensional objects / Nursyazni Mohamad Sukri ... [et al.]

Achieving accurate mathematical representations of an object's geometry for computer-aided design and manufacturing is a complex challenge. Designing such objects requires a method that offers the necessary flexibility and smoothness in curves, which traditional approaches often lack.. The prim...

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Main Authors: Mohamad Sukri, Nursyazni, Azmi, Farah Nabilah, Razali, Noor Khairiah, Nor-Al-Din, Siti Musliha
Format: Article
Language:English
Published: Universiti Teknologi MARA, Perak 2024
Subjects:
QA Mathematics
Electronic Computers. Computer Science
Online Access:https://ir.uitm.edu.my/id/eprint/106555/1/106555.pdf
https://ir.uitm.edu.my/id/eprint/106555/
http://www.mijuitm.com.my/
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spelling my.uitm.ir.1065552024-11-21T03:32:19Z https://ir.uitm.edu.my/id/eprint/106555/ Application of cubic trigonometric Hermite interpolation curve with shape parameters in 2 dimensional objects / Nursyazni Mohamad Sukri ... [et al.] msij Mohamad Sukri, Nursyazni Azmi, Farah Nabilah Razali, Noor Khairiah Nor-Al-Din, Siti Musliha QA Mathematics Electronic Computers. Computer Science Achieving accurate mathematical representations of an object's geometry for computer-aided design and manufacturing is a complex challenge. Designing such objects requires a method that offers the necessary flexibility and smoothness in curves, which traditional approaches often lack.. The primary aim of this study is to explore and implement cubic trigonometric Hermite interpolation as a method for constructing two-dimensional objects. Additionally, this study seeks to examine the properties of this interpolation method and determine the best value of the shape parameter that produces the smoothest curves. Cubic trigonometric Hermite interpolation is used for constructing two-dimensional objects, with the process carried out using Mathematica. Different values of the shape parameter are employed to achieve the desired curve characteristics in the geometric models. The correct images of the two-dimensional objects are also located, and the suitable shape parameters can be obtained after studying the behavior of the curve using free parameters. Two dimensional objects can be formed using cubic trigonometric Hermite interpolation without making any easy blunders or errors. This project has significant potential to enhance geometric modeling by determining the optimal shape parameters that improve the precision and efficiency of creating two-dimensional geometric models. The results can greatly benefit technical drawing, computer-aided design, and manufacturing by providing a more flexible and accurate method for representing the geometry of objects. Universiti Teknologi MARA, Perak 2024-11 Article PeerReviewed text en https://ir.uitm.edu.my/id/eprint/106555/1/106555.pdf Application of cubic trigonometric Hermite interpolation curve with shape parameters in 2 dimensional objects / Nursyazni Mohamad Sukri ... [et al.]. (2024) Mathematical Sciences and Informatics Journal (MIJ) <https://ir.uitm.edu.my/view/publication/Mathematical_Sciences_and_Informatics_Journal_=28MIJ=29/>, 5 (2). pp. 37-46. ISSN 2735-0703 http://www.mijuitm.com.my/ 10.24191/mij.v5i2.1977 10.24191/mij.v5i2.1977 10.24191/mij.v5i2.1977
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic QA Mathematics
Electronic Computers. Computer Science
spellingShingle QA Mathematics
Electronic Computers. Computer Science
Mohamad Sukri, Nursyazni
Azmi, Farah Nabilah
Razali, Noor Khairiah
Nor-Al-Din, Siti Musliha
Application of cubic trigonometric Hermite interpolation curve with shape parameters in 2 dimensional objects / Nursyazni Mohamad Sukri ... [et al.]
description Achieving accurate mathematical representations of an object's geometry for computer-aided design and manufacturing is a complex challenge. Designing such objects requires a method that offers the necessary flexibility and smoothness in curves, which traditional approaches often lack.. The primary aim of this study is to explore and implement cubic trigonometric Hermite interpolation as a method for constructing two-dimensional objects. Additionally, this study seeks to examine the properties of this interpolation method and determine the best value of the shape parameter that produces the smoothest curves. Cubic trigonometric Hermite interpolation is used for constructing two-dimensional objects, with the process carried out using Mathematica. Different values of the shape parameter are employed to achieve the desired curve characteristics in the geometric models. The correct images of the two-dimensional objects are also located, and the suitable shape parameters can be obtained after studying the behavior of the curve using free parameters. Two dimensional objects can be formed using cubic trigonometric Hermite interpolation without making any easy blunders or errors. This project has significant potential to enhance geometric modeling by determining the optimal shape parameters that improve the precision and efficiency of creating two-dimensional geometric models. The results can greatly benefit technical drawing, computer-aided design, and manufacturing by providing a more flexible and accurate method for representing the geometry of objects.
format Article
author Mohamad Sukri, Nursyazni
Azmi, Farah Nabilah
Razali, Noor Khairiah
Nor-Al-Din, Siti Musliha
author_facet Mohamad Sukri, Nursyazni
Azmi, Farah Nabilah
Razali, Noor Khairiah
Nor-Al-Din, Siti Musliha
author_sort Mohamad Sukri, Nursyazni
title Application of cubic trigonometric Hermite interpolation curve with shape parameters in 2 dimensional objects / Nursyazni Mohamad Sukri ... [et al.]
title_short Application of cubic trigonometric Hermite interpolation curve with shape parameters in 2 dimensional objects / Nursyazni Mohamad Sukri ... [et al.]
title_full Application of cubic trigonometric Hermite interpolation curve with shape parameters in 2 dimensional objects / Nursyazni Mohamad Sukri ... [et al.]
title_fullStr Application of cubic trigonometric Hermite interpolation curve with shape parameters in 2 dimensional objects / Nursyazni Mohamad Sukri ... [et al.]
title_full_unstemmed Application of cubic trigonometric Hermite interpolation curve with shape parameters in 2 dimensional objects / Nursyazni Mohamad Sukri ... [et al.]
title_sort application of cubic trigonometric hermite interpolation curve with shape parameters in 2 dimensional objects / nursyazni mohamad sukri ... [et al.]
publisher Universiti Teknologi MARA, Perak
publishDate 2024
url https://ir.uitm.edu.my/id/eprint/106555/1/106555.pdf
https://ir.uitm.edu.my/id/eprint/106555/
http://www.mijuitm.com.my/
_version_ 1817847226717700096
score 13.244413

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