Application of interpolation of cubic trigonometric Hermite interpolation curve with parameters in 2 dimensional objects / Farah Nabilah Azmi

The mathematical representation of an object's geometry created by a computer or piece of software is known as geometric modelling where the information that is both graphical and text-based is included. This data is shown as an image and kept in a database. The model can then be altered and su...

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Main Author:	Azmi, Farah Nabilah
Format:	Thesis
Language:	English
Published:	2023
Subjects:	Difference equations Functional equations Delay differential equations Integral equations
Online Access:	https://ir.uitm.edu.my/id/eprint/96625/1/96625.pdf
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id	my-uitm-ir.96625
record_format	uketd_dc
spelling	my-uitm-ir.966252024-06-10T00:28:43Z Application of interpolation of cubic trigonometric Hermite interpolation curve with parameters in 2 dimensional objects / Farah Nabilah Azmi 2023 Azmi, Farah Nabilah Difference equations. Functional equations. Delay differential equations. Integral equations The mathematical representation of an object's geometry created by a computer or piece of software is known as geometric modelling where the information that is both graphical and text-based is included. This data is shown as an image and kept in a database. The model can then be altered and subjected to various analyses. Geometric modelling frequently uses curves to build surfaces because they are simple to manipulate and bend to suit the purpose. A set of points, analytic functions, or other curves/functions can all be used to create curves. Geometric models can be divided into two categories which are two-dimensional models for technical drawing and three-dimensional models for computer-aided design and manufacturing. For further information, two-dimensional or 2D is commonly used for flat objects since it displays an image in two dimensions while for three-dimensional or 3D, the model's complicated geometry can be fully viewed in three dimensions due to the illustration. In addition, solid modelling is the primary method for 3D geometric modelling. In this project, cubic trigonometric Hermite interpolation will be used to construct twodimensional objects where the properties of this method will be discussed further. The selection of the 2-dimensional object to be used in this study will be the initial step, after which data on the object's control points will be gathered. Then, using Mathematica, the design process is carried out using cubic trigonometric Hermite interpolation, and the outcomes are obtained. When used to build two-dimensional objects, cubic trigonometric Hermite interpolation produces excellent results because it produces curves that are both smooth and flexible. 2023 Thesis https://ir.uitm.edu.my/id/eprint/96625/ https://ir.uitm.edu.my/id/eprint/96625/1/96625.pdf text en public degree Universiti Teknologi MARA, Terengganu College of Computing, Informatics and Mathematics Mohamad Sukri, Nursyazni
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Mohamad Sukri, Nursyazni
topic	Difference equations Functional equations Delay differential equations Integral equations
spellingShingle	Difference equations Functional equations Delay differential equations Integral equations Azmi, Farah Nabilah Application of interpolation of cubic trigonometric Hermite interpolation curve with parameters in 2 dimensional objects / Farah Nabilah Azmi
description	The mathematical representation of an object's geometry created by a computer or piece of software is known as geometric modelling where the information that is both graphical and text-based is included. This data is shown as an image and kept in a database. The model can then be altered and subjected to various analyses. Geometric modelling frequently uses curves to build surfaces because they are simple to manipulate and bend to suit the purpose. A set of points, analytic functions, or other curves/functions can all be used to create curves. Geometric models can be divided into two categories which are two-dimensional models for technical drawing and three-dimensional models for computer-aided design and manufacturing. For further information, two-dimensional or 2D is commonly used for flat objects since it displays an image in two dimensions while for three-dimensional or 3D, the model's complicated geometry can be fully viewed in three dimensions due to the illustration. In addition, solid modelling is the primary method for 3D geometric modelling. In this project, cubic trigonometric Hermite interpolation will be used to construct twodimensional objects where the properties of this method will be discussed further. The selection of the 2-dimensional object to be used in this study will be the initial step, after which data on the object's control points will be gathered. Then, using Mathematica, the design process is carried out using cubic trigonometric Hermite interpolation, and the outcomes are obtained. When used to build two-dimensional objects, cubic trigonometric Hermite interpolation produces excellent results because it produces curves that are both smooth and flexible.
format	Thesis
qualification_level	Bachelor degree
author	Azmi, Farah Nabilah
author_facet	Azmi, Farah Nabilah
author_sort	Azmi, Farah Nabilah
title	Application of interpolation of cubic trigonometric Hermite interpolation curve with parameters in 2 dimensional objects / Farah Nabilah Azmi
title_short	Application of interpolation of cubic trigonometric Hermite interpolation curve with parameters in 2 dimensional objects / Farah Nabilah Azmi
title_full	Application of interpolation of cubic trigonometric Hermite interpolation curve with parameters in 2 dimensional objects / Farah Nabilah Azmi
title_fullStr	Application of interpolation of cubic trigonometric Hermite interpolation curve with parameters in 2 dimensional objects / Farah Nabilah Azmi
title_full_unstemmed	Application of interpolation of cubic trigonometric Hermite interpolation curve with parameters in 2 dimensional objects / Farah Nabilah Azmi
title_sort	application of interpolation of cubic trigonometric hermite interpolation curve with parameters in 2 dimensional objects / farah nabilah azmi
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	College of Computing, Informatics and Mathematics
publishDate	2023
url	https://ir.uitm.edu.my/id/eprint/96625/1/96625.pdf
_version_	1804890000267935744

Application of interpolation of cubic trigonometric Hermite interpolation curve with parameters in 2 dimensional objects / Farah Nabilah Azmi

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