Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/103092
Title: Curves generated by a three-term difference algorithm
Authors: Qu, R. 
Keywords: Conics
Difference algorithm
Interpolation
Parametric curve
Subdivision
Issue Date: Aug-1995
Citation: Qu, R. (1995-08). Curves generated by a three-term difference algorithm. Mathematical and Computer Modelling 22 (3) : 49-64. ScholarBank@NUS Repository.
Abstract: Algorithms for the generation of curves and surfaces play a very important role in shape design and modelling in CAD/CAM systems. In this paper, a simple three term difference algorithm is studied in detail and it is concluded that this algorithm could generate both conic curves, general monomial curves, and exponential spiral curves which interpolate the initial points. The geometric constructions of such curves and their properties are also obtained. Two shape control parameters are provided so that the shape of the generated curve can be adjusted according to requirements. An immediate generalization of the method is the generation of uniform surface data in Rd, d ≥ 3. © 1995.
Source Title: Mathematical and Computer Modelling
URI: http://scholarbank.nus.edu.sg/handle/10635/103092
ISSN: 08957177
Appears in Collections:Staff Publications

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