Wan Jaafar, Wan Nurhadani
(2018)
Visualization Of Curve And Surface
Data Using Rational Cubic Ball
Functions.
PhD thesis, Universiti Sains Malaysia.
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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