Designing three dimensional graphic objects using the polynomial of trigonometric curves with a shape parameter and the sweep surface / Noor Khairiah Razali and Nursyazni Mohamad Sukri

The desired shape of Bezier and B-spline curves can be meeting by adjusting the control points, knot vectors and degrees. This adjustment was complicated and costly. In this project, the trigonometric polynomial with a shape parameter curves and rotational sweeping method was introduced as an altern...

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Main Authors:	Razali, Noor Khairiah, Mohamad Sukri, Nursyazni
Format:	Research Reports
Language:	English
Published:	Research Management Institute (RMI) 2012
Subjects:	Geometry. Shapes. General works, treatises, and textbooks
Online Access:	http://ir.uitm.edu.my/id/eprint/21080/ http://ir.uitm.edu.my/id/eprint/21080/1/LP_NOOR%20KHAIRIAH%20RAZALI%20RMI%2012_5%20.pdf

id	uitm-21080
recordtype	eprints
spelling	uitm-210802018-08-14T03:32:12Z http://ir.uitm.edu.my/id/eprint/21080/ Designing three dimensional graphic objects using the polynomial of trigonometric curves with a shape parameter and the sweep surface / Noor Khairiah Razali and Nursyazni Mohamad Sukri Razali, Noor Khairiah Mohamad Sukri, Nursyazni Geometry. Shapes. General works, treatises, and textbooks The desired shape of Bezier and B-spline curves can be meeting by adjusting the control points, knot vectors and degrees. This adjustment was complicated and costly. In this project, the trigonometric polynomial with a shape parameter curves and rotational sweeping method was introduced as an alternative method in generating the variety of symmetrical three dimensional objects and designs easily, flexibly and less costly in time of working the calculation. The trigonometric polynomial curves were analogous to B-spline curves, but the curves can be manipulated based on the value of shape parameter, on a fixed control polygon and same control point. This property was an advantage in generating three dimensional objects using rotation sweep surface method, where the curve was rotated at y-axis with 360o degree. This polynomial was studied based on open and close uniform curves and applied in rotational sweep method to create three dimensional objects. The shape of the vase was generated as examples of three dimensional objects and the variety designs were produced by manipulated the value of shape parameter. Research Management Institute (RMI) 2012 Research Reports NonPeerReviewed text en http://ir.uitm.edu.my/id/eprint/21080/1/LP_NOOR%20KHAIRIAH%20RAZALI%20RMI%2012_5%20.pdf Razali, Noor Khairiah and Mohamad Sukri, Nursyazni (2012) Designing three dimensional graphic objects using the polynomial of trigonometric curves with a shape parameter and the sweep surface / Noor Khairiah Razali and Nursyazni Mohamad Sukri. [Research Reports] (Unpublished)
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Teknologi MARA
building	UiTM Institutional Repository
collection	Online Access
language	English
topic	Geometry. Shapes. General works, treatises, and textbooks
spellingShingle	Geometry. Shapes. General works, treatises, and textbooks Razali, Noor Khairiah Mohamad Sukri, Nursyazni Designing three dimensional graphic objects using the polynomial of trigonometric curves with a shape parameter and the sweep surface / Noor Khairiah Razali and Nursyazni Mohamad Sukri
description	The desired shape of Bezier and B-spline curves can be meeting by adjusting the control points, knot vectors and degrees. This adjustment was complicated and costly. In this project, the trigonometric polynomial with a shape parameter curves and rotational sweeping method was introduced as an alternative method in generating the variety of symmetrical three dimensional objects and designs easily, flexibly and less costly in time of working the calculation. The trigonometric polynomial curves were analogous to B-spline curves, but the curves can be manipulated based on the value of shape parameter, on a fixed control polygon and same control point. This property was an advantage in generating three dimensional objects using rotation sweep surface method, where the curve was rotated at y-axis with 360o degree. This polynomial was studied based on open and close uniform curves and applied in rotational sweep method to create three dimensional objects. The shape of the vase was generated as examples of three dimensional objects and the variety designs were produced by manipulated the value of shape parameter.
format	Research Reports
author	Razali, Noor Khairiah Mohamad Sukri, Nursyazni
author_facet	Razali, Noor Khairiah Mohamad Sukri, Nursyazni
author_sort	Razali, Noor Khairiah
title	Designing three dimensional graphic objects using the polynomial of trigonometric curves with a shape parameter and the sweep surface / Noor Khairiah Razali and Nursyazni Mohamad Sukri
title_short	Designing three dimensional graphic objects using the polynomial of trigonometric curves with a shape parameter and the sweep surface / Noor Khairiah Razali and Nursyazni Mohamad Sukri
title_full	Designing three dimensional graphic objects using the polynomial of trigonometric curves with a shape parameter and the sweep surface / Noor Khairiah Razali and Nursyazni Mohamad Sukri
title_fullStr	Designing three dimensional graphic objects using the polynomial of trigonometric curves with a shape parameter and the sweep surface / Noor Khairiah Razali and Nursyazni Mohamad Sukri
title_full_unstemmed	Designing three dimensional graphic objects using the polynomial of trigonometric curves with a shape parameter and the sweep surface / Noor Khairiah Razali and Nursyazni Mohamad Sukri
title_sort	designing three dimensional graphic objects using the polynomial of trigonometric curves with a shape parameter and the sweep surface / noor khairiah razali and nursyazni mohamad sukri
publisher	Research Management Institute (RMI)
publishDate	2012
url	http://ir.uitm.edu.my/id/eprint/21080/ http://ir.uitm.edu.my/id/eprint/21080/1/LP_NOOR%20KHAIRIAH%20RAZALI%20RMI%2012_5%20.pdf
first_indexed	2023-09-18T23:05:47Z
last_indexed	2023-09-18T23:05:47Z
_version_	1777418473831399424

Designing three dimensional graphic objects using the polynomial of trigonometric curves with a shape parameter and the sweep surface / Noor Khairiah Razali and Nursyazni Mohamad Sukri

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