LENGKUNG DAN PERMUKAAN BEZIER-BALL BERKESELANJARAN G1
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Date
2006-09
Authors
CHEW, PENG CHUN
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Abstract
This thesis explores the cubic curve and surface construction methods proposed by
Said (1990), using basis functions which are derived from Bezier (1972) and Ball (1974)
basis functions. These basis functions are known as Said basis functions or Bezier-Ball
basis functions. Bezier-Ball cubic basis functions can be reduced to the Bezier, Ball
and Timmer (1980) cubic basis functions by choosing suitable weights. The properties
of the basis functions and curves, the influence of weights and the criterion of G1
continuity (Le. tangent plane continuity) are studied and applied in font construction.
Surface construction in Computer Aided Geometric Design (CAGD) is usually
formed from collections of surface patches, with certain continuity conditions imposed
at a common boundary between adjacent patches. Specifically, in this thesis, the
continuity used is of G1 continuity. For most applications in industry, this continuity is
sufficient. This thesis also explores and compares the three surface construction
methods proposed by Gatmulkand Clark (1978), Goodman (1991) ·and Said (1990) by
using Bezier-Ball basis functions.
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Keywords
LENGKUNG , BEZIER-BALL