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:
Online Access:http://ir.uitm.edu.my/id/eprint/21080/1/LP_NOOR%20KHAIRIAH%20RAZALI%20RMI%2012_5%20.pdf
http://ir.uitm.edu.my/id/eprint/21080/
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spelling my.uitm.ir.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)
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 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/21080/1/LP_NOOR%20KHAIRIAH%20RAZALI%20RMI%2012_5%20.pdf
http://ir.uitm.edu.my/id/eprint/21080/
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score 13.19449