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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 Bezier functions. A rational Ball function with shape parameters is easy to implement because of its less degree terms at the end polynomi...

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Main Author: Wan Jaafar, Wan Nurhadani
Format: Thesis
Language:English
Published: 2018
Subjects:
QA440-699 Geometry
Online Access:http://eprints.usm.my/61986/1/Vizualation%20of%20curve%20and%20surface%20cut.pdf
http://eprints.usm.my/61986/
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spelling my.usm.eprints.61986 http://eprints.usm.my/61986/ Visualization Of Curve And Surface Data Using Rational Cubic Ball Functions Wan Jaafar, Wan Nurhadani QA440-699 Geometry This study considered the problem of shape preserving interpolation through regular data using rational cubic Ball which is an alternative scheme for rational Bezier 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 Bezier 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 Bezier curve. A conversion formula was obtained after a Bezier curve converted to the generalized form of Ball curve. It proved that this formulae not only valuable for geometric properties studies but also improves on the computational speed of the Ball curves. 2018-02 Thesis NonPeerReviewed application/pdf en http://eprints.usm.my/61986/1/Vizualation%20of%20curve%20and%20surface%20cut.pdf Wan Jaafar, Wan Nurhadani (2018) Visualization Of Curve And Surface Data Using Rational Cubic Ball Functions. PhD thesis, Universiti Sains Malaysia.
institution Universiti Sains Malaysia
building Hamzah Sendut Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sains Malaysia
content_source USM Institutional Repository
url_provider http://eprints.usm.my/
language English
topic QA440-699 Geometry
spellingShingle QA440-699 Geometry
Wan Jaafar, Wan Nurhadani
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 Bezier 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 Bezier 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 Bezier curve. A conversion formula was obtained after a Bezier curve converted to the generalized form of Ball curve. It proved that this formulae not only valuable for geometric properties studies but also improves on the computational speed of the Ball curves.
format Thesis
author Wan Jaafar, Wan Nurhadani
author_facet Wan Jaafar, Wan Nurhadani
author_sort Wan Jaafar, Wan Nurhadani
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
publishDate 2018
url http://eprints.usm.my/61986/1/Vizualation%20of%20curve%20and%20surface%20cut.pdf
http://eprints.usm.my/61986/
_version_ 1825807291451965440
score 13.244413

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