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|Title:||A generalization of cubic curves and their bezier representations|
|Authors:||Qu, R. |
|Source:||Qu, R., Gong, W. (1998-07). A generalization of cubic curves and their bezier representations. Mathematical and Computer Modelling 28 (1) : 77-89. ScholarBank@NUS Repository. https://doi.org/10.1016/S0895-7177(98)00083-1|
|Abstract:||In 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 free-form curve and surface modelling and design. The corresponding D-Bezier 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.|
|Source Title:||Mathematical and Computer Modelling|
|Appears in Collections:||Staff Publications|
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