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...

詳細記述

書誌詳細
第一著者: Jaafar, Wan Nurhadani Wan
フォーマット: 学位論文
言語:英語
出版事項: 2018
主題:
オンライン・アクセス:http://eprints.usm.my/43791/
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author Jaafar, Wan Nurhadani Wan
author_facet Jaafar, Wan Nurhadani Wan
author_sort Jaafar, Wan Nurhadani Wan
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.
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spelling usm-437912019-04-12T05:24:52Z http://eprints.usm.my/43791/ Visualization Of Curve And Surface Data Using Rational Cubic Ball Functions 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 NonPeerReviewed application/pdf en http://eprints.usm.my/43791/1/WAN%20NURHADANI%20WAN%20JAAFAR.pdf Jaafar, Wan Nurhadani Wan (2018) Visualization Of Curve And Surface Data Using Rational Cubic Ball Functions. PhD thesis, Universiti Sains Malaysia.
spellingShingle QA1-939 Mathematics
Jaafar, Wan Nurhadani Wan
Visualization Of Curve And Surface Data Using Rational Cubic Ball Functions
title 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_short Visualization Of Curve And Surface Data Using Rational Cubic Ball Functions
title_sort visualization of curve and surface data using rational cubic ball functions
topic QA1-939 Mathematics
url http://eprints.usm.my/43791/
work_keys_str_mv AT jaafarwannurhadaniwan visualizationofcurveandsurfacedatausingrationalcubicballfunctions