Please use this identifier to cite or link to this item: `https://scholarbank.nus.edu.sg/handle/10635/103092`
DC FieldValue
dc.titleCurves generated by a three-term difference algorithm
dc.contributor.authorQu, R.
dc.date.accessioned2014-10-28T02:33:12Z
dc.date.available2014-10-28T02:33:12Z
dc.date.issued1995-08
dc.identifier.citationQu, R. (1995-08). Curves generated by a three-term difference algorithm. Mathematical and Computer Modelling 22 (3) : 49-64. ScholarBank@NUS Repository.
dc.identifier.issn08957177
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103092
dc.description.abstractAlgorithms 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.
dc.sourceScopus
dc.subjectConics
dc.subjectDifference algorithm
dc.subjectInterpolation
dc.subjectParametric curve
dc.subjectSubdivision
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.sourcetitleMathematical and Computer Modelling
dc.description.volume22
dc.description.issue3
dc.description.page49-64
dc.description.codenMCMOE
dc.identifier.isiutNOT_IN_WOS
Appears in Collections:Staff Publications

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