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Application of said-ball curve with continuity in Jawi design

Master of Science in Engineering Mathematics

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Bibliographic Details
Main Author: Nur Aliah Izzati, Rosman
Other Authors: Zainor Ridzuan, Yahya, Dr.
Format: Dissertation
Language:English
Published: Universiti Malaysia Perlis (UniMAP) 2017
Subjects:
Curves, Cubic
Curves, Quartic
Curves, Algebraic
Curve fitting
Jawi alphabet
Arabic alphabet
Polynomials
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/76677
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spelling my.unimap-766772022-11-02T00:44:56Z Application of said-ball curve with continuity in Jawi design Nur Aliah Izzati, Rosman Zainor Ridzuan, Yahya, Dr. Curves, Cubic Curves, Quartic Curves, Algebraic Curve fitting Jawi alphabet Arabic alphabet Polynomials Master of Science in Engineering Mathematics Ball basis was introduced for cubic polynomials by Ball, then the generalized for polynomials of higher odd degree by Said. Curve fitting is one of the main problems in reverse engineering. An Arabic font is difficult to fit as it is cursive in character, having varying curves and cusps. In this dissertation, a rarely used type of curve called odd degree Said-Ball Curve has been designed to capture Arabic fonts. The process to design those characters includes the following steps: Choose image of character, print the image of a character, detections of boundary, corner points and segmentation, apply suitable continuity and then fitting the optimal curve segment. As a method of reverse engineering, the Arabic character is created by fitting the curve segments to the control polygon of the character’s image. Segmentation process involves the degree elevation and reduction for Said-Ball Curve based on the number of control points selected for every segment. The control polygon and the segment are adjusted to get the curve look like the image to ensure that odd degree Said-Ball Curve is reliable in designing Jawi based on visual comparison. The finding of this dissertation is curve fitting of Jawi character by odd degree Said-Ball Curve. This technique can be extended to visualizing any other image as long as the design process is needed in various other applications. 2017 2022-11-02T00:44:56Z 2022-11-02T00:44:56Z Dissertation http://dspace.unimap.edu.my:80/xmlui/handle/123456789/76677 en Universiti Malaysia Perlis (UniMAP) Universiti Malaysia Perlis (UniMAP) Institute of Engineering Mathematics
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Curves, Cubic
Curves, Quartic
Curves, Algebraic
Curve fitting
Jawi alphabet
Arabic alphabet
Polynomials
spellingShingle Curves, Cubic
Curves, Quartic
Curves, Algebraic
Curve fitting
Jawi alphabet
Arabic alphabet
Polynomials
Nur Aliah Izzati, Rosman
Application of said-ball curve with continuity in Jawi design
description Master of Science in Engineering Mathematics
author2 Zainor Ridzuan, Yahya, Dr.
author_facet Zainor Ridzuan, Yahya, Dr.
Nur Aliah Izzati, Rosman
format Dissertation
author Nur Aliah Izzati, Rosman
author_sort Nur Aliah Izzati, Rosman
title Application of said-ball curve with continuity in Jawi design
title_short Application of said-ball curve with continuity in Jawi design
title_full Application of said-ball curve with continuity in Jawi design
title_fullStr Application of said-ball curve with continuity in Jawi design
title_full_unstemmed Application of said-ball curve with continuity in Jawi design
title_sort application of said-ball curve with continuity in jawi design
publisher Universiti Malaysia Perlis (UniMAP)
publishDate 2017
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/76677
_version_ 1751537957210161152
score 13.214268

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