KAWALAN BENTUK DAN KESELANJARAN BAGI LENGKUNG BEZIER
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Date
2007-05
Authors
AZIF, AZMIL
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Abstract
Computer Aided Geometric Design (CAGD) is a study of mathematical
representation of curves. In 60-an, Dr. Pierre Bezier had introduce Bezier curves using
polynomial Bernstein.
This dissertation will discuss about Bezier curves only. For make sure that this
Bezier curves are connected together with continuity, there are two topics will be discuss.
First, connection of Bezier curves with parametric continuity and second is connection
with geometric continuity.
This dissertation also will discuss about rational Bezier curves. We will see how
the weight or parameter shape preserving of rational Bezier curves is use for preserve the
curves. Analysis shape preserving will be discuss in details where it will show in
piecewise rational Bezier curve interpolation.
This dissertation also will show how to preserve rational Bezier curves to make
sure it always positivity and monotonicity. Shape preserving for curves is important
aspect to make sure function is relevant for many application. This dissertation uses the
Mathematica software to generate curves.
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Keywords
KAWALAN BENTUK , LENGKUNG BEZIER