Publication:
Visualization Of Curve And Surface Data Using Rational Cubic Ball Functions

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Date
2018-02
Authors
Wan Jaafar, Wan Nurhadani
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Research Projects
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Abstract
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.
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Keywords
Curve And Surface , Rational Cubic Ball
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