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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| Format: | Thesis |
| Language: | English |
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2018
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| Online Access: | http://eprints.usm.my/61986/ http://eprints.usm.my/61986/1/Vizualation%20of%20curve%20and%20surface%20cut.pdf |
| _version_ | 1848884858790608896 |
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| author | Wan Jaafar, Wan Nurhadani |
| author_facet | Wan Jaafar, Wan Nurhadani |
| author_sort | Wan Jaafar, Wan Nurhadani |
| 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
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. |
| first_indexed | 2025-11-15T19:13:23Z |
| format | Thesis |
| id | usm-61986 |
| institution | Universiti Sains Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T19:13:23Z |
| publishDate | 2018 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | usm-619862025-03-05T03:03:25Z 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. |
| spellingShingle | QA440-699 Geometry Wan Jaafar, Wan Nurhadani 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 | QA440-699 Geometry |
| url | http://eprints.usm.my/61986/ http://eprints.usm.my/61986/1/Vizualation%20of%20curve%20and%20surface%20cut.pdf |