Visualization Of Curve And Surface Data Using Rational Cubic Ball Functions

This study considered the problem of shape preserving interpolation through regular data using rational cubic Ball which is an alternative scheme for rational Bézier functions. A rational Ball function with shape parameters is easy to implement because of its less degree terms at the end polynomial...

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Main Author:	Jaafar, Wan Nurhadani Wan
Format:	Thesis
Language:	English
Published:	2018
Subjects:	QA1-939 Mathematics
Online Access:	http://eprints.usm.my/43791/1/WAN%20NURHADANI%20WAN%20JAAFAR.pdf
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id	my-usm-ep.43791
record_format	uketd_dc
spelling	my-usm-ep.437912019-04-12T05:24:52Z Visualization Of Curve And Surface Data Using Rational Cubic Ball Functions 2018-02 Jaafar, Wan Nurhadani Wan QA1-939 Mathematics This study considered the problem of shape preserving interpolation through regular data using rational cubic Ball which is an alternative scheme for rational Bézier functions. A rational Ball function with shape parameters is easy to implement because of its less degree terms at the end polynomial compared to rational Bézier functions. In order to understand the behavior of shape parameters (weights), we need to discuss shape control analysis which can be used to modify the shape of a curve, locally and globally. This issue has been discovered and brought to the study of conversion between Ball and Bézier curve. 2018-02 Thesis http://eprints.usm.my/43791/ http://eprints.usm.my/43791/1/WAN%20NURHADANI%20WAN%20JAAFAR.pdf application/pdf en public phd doctoral Universiti Sains Malaysia Pusat Pengajian Sains Matematik
institution	Universiti Sains Malaysia
collection	USM Institutional Repository
language	English
topic	QA1-939 Mathematics
spellingShingle	QA1-939 Mathematics Jaafar, Wan Nurhadani Wan Visualization Of Curve And Surface Data Using Rational Cubic Ball Functions
description	This study considered the problem of shape preserving interpolation through regular data using rational cubic Ball which is an alternative scheme for rational Bézier functions. A rational Ball function with shape parameters is easy to implement because of its less degree terms at the end polynomial compared to rational Bézier functions. In order to understand the behavior of shape parameters (weights), we need to discuss shape control analysis which can be used to modify the shape of a curve, locally and globally. This issue has been discovered and brought to the study of conversion between Ball and Bézier curve.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Jaafar, Wan Nurhadani Wan
author_facet	Jaafar, Wan Nurhadani Wan
author_sort	Jaafar, Wan Nurhadani Wan
title	Visualization Of Curve And Surface Data Using Rational Cubic Ball Functions
title_short	Visualization Of Curve And Surface Data Using Rational Cubic Ball Functions
title_full	Visualization Of Curve And Surface Data Using Rational Cubic Ball Functions
title_fullStr	Visualization Of Curve And Surface Data Using Rational Cubic Ball Functions
title_full_unstemmed	Visualization Of Curve And Surface Data Using Rational Cubic Ball Functions
title_sort	visualization of curve and surface data using rational cubic ball functions
granting_institution	Universiti Sains Malaysia
granting_department	Pusat Pengajian Sains Matematik
publishDate	2018
url	http://eprints.usm.my/43791/1/WAN%20NURHADANI%20WAN%20JAAFAR.pdf
_version_	1747821280532365312

Visualization Of Curve And Surface Data Using Rational Cubic Ball Functions

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