PERMUKAAN TERTUTUP LICIN BALL BIKUBIK
Loading...
Date
2007-06
Authors
MOHD NASIR, DIANA SIRMAYUNIE
Journal Title
Journal ISSN
Volume Title
Publisher
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.
Description
Keywords
PERMUKAAN TERTUTUP LICIN BALL BIKUBIK