%0 Journal Article
%T Functional Compositions via Shifting Operators for Bézier Patches and Their Applications<br>Bézier曲面的函数复合及其应用
%A FENG Jie-qing
%A PENG Qun-sheng
%A <br>冯结青
%A 彭群生
%J 软件学报
%D 1999
%I 
%X There are two kinds of Bézier patches which are represented by different base functions, namely the triangular Bézier patch and the rectangular Bézier patch. In this paper, two results about these patches are obtained by employing functional compositions via shifting operators. One is the composition of a rectangular Bézier patch with a triangular Bézier function of degree 1, the other is the composition of a triangular Bézier patch with a rectangular Bézier function of degree 1×1. The control points of the resultant patch in either case are the linear convex combinations of the control points of the original patch. With the shifting operators, the respective procedure becomes concise and intuitive. The potential applications of the two results include conversions between two kinds of Bézier patches, exact representation of a trimmed surface, natural extension of original patches, etc.
%K functional composition
%K computer aided geometric design
%K de
%K Casteljau algorithm<br>四边Bézier曲面片
%K 三边Bézier曲面片
%K 函数复合
%K 计算机辅助几何设计
%K de'Casteljau算法
%K Rectangular
%K Bézier
%K patch
%K triangular
%K Bézier
%K patch
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=7735F413D429542E610B3D6AC0D5EC59&aid=41313A24BA85143119ECE2624A9B1941&yid=B914830F5B1D1078&vid=F3090AE9B60B7ED1&iid=59906B3B2830C2C5&sid=525C740F5A062BF4&eid=4882B246E68CA8CB&journal_id=1000-9825&journal_name=软件学报&referenced_num=3&reference_num=8