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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| Format: | Thesis |
| Language: | English |
| Published: |
2018
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| Online Access: | http://eprints.usm.my/43791/ http://eprints.usm.my/43791/1/WAN%20NURHADANI%20WAN%20JAAFAR.pdf |
| _version_ | 1848879899897495552 |
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| author | Jaafar, Wan Nurhadani Wan |
| author_facet | Jaafar, Wan Nurhadani Wan |
| author_sort | Jaafar, Wan Nurhadani Wan |
| building | USM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T17:54:34Z |
| format | Thesis |
| id | usm-43791 |
| institution | Universiti Sains Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T17:54:34Z |
| publishDate | 2018 |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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/ http://eprints.usm.my/43791/1/WAN%20NURHADANI%20WAN%20JAAFAR.pdf |