Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0895-7177(98)00083-1
Title: A generalization of cubic curves and their bezier representations
Authors: Qu, R. 
Gong, W.
Keywords: -Bezier curve
Bezier curve
D-curve
Difference algorithm
Recursive algorithm
Issue Date: Jul-1998
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
URI: http://scholarbank.nus.edu.sg/handle/10635/102654
ISSN: 08957177
DOI: 10.1016/S0895-7177(98)00083-1
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