PERMUKAAN TERTUTUP LICIN BALL BIKUBIK
| dc.contributor.author | MOHD NASIR, DIANA SIRMAYUNIE | |
| dc.date.accessioned | 2016-01-12T03:49:10Z | |
| dc.date.available | 2016-01-12T03:49:10Z | |
| dc.date.issued | 2007-06 | |
| dc.description.abstract | Surface constructions in Computer Aided Geometric Design (CAGD) are basically formed from collections of surface patch, by placing a certain continuity condition between adjacent patches. Although tensor product Bezier patches are used extensively in most CAGD systems to model free-form surfaces, this method can only be used to generate closed surfaces of genus one. Surfaces with tangent plane continuity are known as first order geometrically smooth surface or G1 surface. The construction method in this dissertation was first introduced by Goodman (1991) who defined biquadratic generalised B-spline functions on faces of a cube. The same approach was used by Lee and Majid (1991) with six control points for the case of bicubic Bezier functions. Next, Saaban (1998) took a different approach by constructing smooth closed surfaces using generalised bicubic B-spline functions with control points as vertices of a cube, i.e, eight control points. This dissertation writer uses the same approach as Saaban (1998) but for Ball bicubic functions in order to construct simple and smooth G1 surfaces, that is surfaces of genus zero. The constructed basis functions have small support and sum to one. The functions are useful for designing, approximating and interpolating a simple closed surface of genus zero. Several examples of object surfaces will be presented in this dissertation. | en_US |
| dc.identifier.uri | http://hdl.handle.net/123456789/1473 | |
| dc.subject | PERMUKAAN TERTUTUP LICIN BALL BIKUBIK | en_US |
| dc.title | PERMUKAAN TERTUTUP LICIN BALL BIKUBIK | en_US |
| dc.type | Thesis | en_US |
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