PENJANAAN LENGKUNG DAN PERMUKAAN SPLIN-BETA Oleh
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Date
2009-05
Authors
MD NOR, NORLAILA
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Abstract
Basis function of B-Spline was introduced by de Boor, Cox and Mansfield.
This project is focusing on how to generate B-Spline curves and Beta-Spline curves.
In order • to make the process-of generating curves easier, the equation of B-Spline
can be simplified into matrices form. The method of generating curves of quadratic
B-Spline and cubic B-Spline are using the same concept but with different numbers
of control points. Besides, Beta-Spline curves is the generalization from uniform
cubic B-Spline. In this project, Beta-Spline geometric continuity with biased and
tension parameter will be discussed. These shape parameters provide greater freedom
to the designer in manipulating the shape of the design curves. For generating the
join surfaces for B-Spline and Beta-Spline, the control points must be chosen
correctly. The wrong choice of control points will not give join surfaces
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PENJANAAN LENGKUNG DAN PERMUKAAN SPLIN-BETA Oleh