PENJANAAN PERMUKAAN DENGAN MENGGUNAKAN KAEDAH PERSAMAAN PEMBEZAAN SEPARA
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Date
2003-02
Authors
ISMAIL, NUR BAINI
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Abstract
In this dissertation, a method for generating surfaces by regarding them as solutions to
partial differential equations is discussed. Bloor and Wilson (1989) first proposed the
method of surface generation based on partial differential equations. Although this
method is believed to be of wide applicability in geometric modelling, its potential is
illustrated by applying it to the field of blend and free-form surfaces generation. In
particular, this dissertation will concentrate upon illustrating the method by series of
examples, rather than becoming involved in detailed discussion of the role of the
various parameters that occur in the formulation of the problem. The problem of blend
generation in computer-aided design is essentially that of being able to generate a
smooth surface to act as a bridging 'secondary' transition between neighbouring
'primary' surfaces. So, an attempt has been made to demonstrate the power of the
technique for generating smooth blends between varieties of intersecting surfaces. Then
a method of generating free-form surfaces using suitable chosen partial differential
equations is discussed. By varying the boundary conditions and a parameter in the
partial differential equations, it is demonstrated that a wide variety of surface shapes are
accessible to the method.
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PENJANAAN PERMUKAAN DENGAN MENGGUNAKAN KAEDAH PERSAMAAN