PENJANAAN LENGKUNG DAN PERMUKAAN MENGGUNAKAN SUBBAHAGIAN

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Date
2000-05
Authors
HONG, CHIN FUT
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Subdivision is an efficient tool in computer aided curve and surface design. Vl The aim of this disertation is to study how subdivision can be used to generate curves and surfaces. Various subdivision algorithms for generating curves and surfaces are being studied. De Casteljau algorithm and subdivision algorithm for B-spline, which are approximation algorithms, are studied for generating respectively Bezier and B-spline curves and surfaces . Four points interpolatory subdivision scheme which is formulated by Dyn, Gregory & Levin is studied as an interpolation algorithm which can control the shape of the curves and surfaces generated by a tension parameter. A more general algorithm, Doo & Sabin algorithm, is also being discussed to generate a surface from an arbitrary polihedral network. The theory of the convergence of the sequence of control polygons generated by subdivision to a smooth curve is also being studied. A number of examples are shown graphically to illustrate each algorithm
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PENJANAAN LENGKUNG DAN PERMUKAAN
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