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A Generalization of cubic curves and their Bézier representations

✍ Scribed by R. Qu; W. Gong

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
786 KB
Volume
28
Category
Article
ISSN
0895-7177

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✦ Synopsis

this paper, the relation between difference algorithms and the representation of parametric curves is studied in detail. It is shown that stationary difference algorithms could generate a class of curves, the so-called D-curves, that are suitable in freeform curve and surface modelling and design. The corresponding D-Bbier curves are also constructed and their properties studied. This generalizes our findings in the study of a simple three-term difference algorithm in which it has been concluded that a simple three-term difference algorithm could generate both conic curves, general monomial curves, and exponential spiral curves.

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