LENGKUNG DAN PERMUKAAN SPLIN-B
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Date
2007-05
Authors
WAN OSMAN, WAN FARAH HANAN
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Abstract
CAGD is the abbreviation for the Computer Aided Geometric Design or in Malay
Language it's called Rekabentuk Geometri Berbantukan Komputer (RGKB). The
techniques for generating the curves and surfaces in CAGD were developed by P.de
Casteljau and P.Bezier. Both of them made used of Bernstein Polynomial.
This dissertation is discussing about generating B-Spline curves and surfaces. BSpline
polynomial is a piecewise function which is defined by Cox de Bor algorithm. The
techniques for generating the B-Spline curves and surfaces in CAGD were developed by
Ferguson in 1963 and also studied by Cox de Boor and W.Gordon at the same time. This
dissertation only discuss on uniform B-Spline.
This dissertation also discuss about Doo-Sabin subdivision for biquadratic B-Spline
surfaces. In 1978, Daniel Doo and Malcolm Sabin took the refinement paradigm developed
by George Chaikin and, by adapting the refinement techniques for the biquadratic uniform
B-Spline surface were able to develop a new surface procedure based upon refinement.
This subdivision also studied by Edwin Catmull and Jim Clark.
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LENGKUNG DAN PERMUKAAN SPLIN-B