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dc.contributor.authorFan, Feilong
dc.contributor.authorZeng, Xiao-Ming
dc.contributor.author曾晓明
dc.date.accessioned2013-01-06T00:51:24Z
dc.date.available2013-01-06T00:51:24Z
dc.date.issued2012-11
dc.identifier.citationCOMPUTER-AIDED DESIGN,2012,44(11):1049-1055zh_CN
dc.identifier.issn0010-4485
dc.identifier.urihttp://dx.doi.org/10.1016/j.cad.2012.04.006
dc.identifier.uriWOS:000309304000001
dc.identifier.urihttps://dspace.xmu.edu.cn/handle/2288/14330
dc.description.abstractIn this paper, a class of discrete distributions called S-lambda distributions is presented and the corresponding S-lambda basis functions are constructed from these distributions by means of the technique of generating functions and transformation factors. These basis functions generate S-lambda curves. We show that S-lambda curves include Bezier curves, Poisson curves, rational Bezier curves and a lot of other curves. Therefore the research in this paper provides a unified scheme for dealing with these well-known curves. We study some important properties of the S-lambda basis functions and S-lambda curves. Furthermore, by means of the technique of generating functions, a new convenient and practical method for local changes of S-lambda curves is proposed. (c) 2012 Elsevier Ltd. All rights reserved.zh_CN
dc.description.sponsorshipNational Natural Science Foundation of China [61170324]; Natural Science Foundation of Fujian Province of China [2010J01012]; National Defense Basic Scientific Research program of China [B1420110155]zh_CN
dc.language.isoenzh_CN
dc.publisherELSEVIER SCI LTDzh_CN
dc.subjectS-lambda distributionszh_CN
dc.subjectBasis functionszh_CN
dc.subjectS-lambda curveszh_CN
dc.subjectGenerating functionszh_CN
dc.subjectConvolutionzh_CN
dc.titleS-lambda bases and S-lambda curveszh_CN
dc.typeArticlezh_CN


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