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论文类型：期刊论文

第一作者：Luo, XN

通讯作者：Luo, XN (reprint author), Zhongshan Univ, Guangzhou 510275, Peoples R China.

合写作者：Nie, H,Li, Y,Luo, ZX

发表时间：2002-07-01

发表刊物：International Symposium on Applied Mathermatics

收录刊物：SCIE、EI、CPCI-S、Scopus

卷号：144

期号：1-2,SI

页面范围：221-232

ISSN号：0377-0427

关键字：recurrence surface; L-surface; W-surface; Bezier surface; envelope

摘要：In this paper, L- and W-surface are constructed via recurrence scheme. The derivation formulae, basis function properties, envelope theorems of L-surface and an equivalent representation of L-surface into Bezier surface are presented. Especially, a C-2 bicubic spline surface on a cross-cut grid partition consisting of quadrilaterals is given, which can be used to replace the biquintic surface in most of the applications. The new method has been applied in the field of contour design of human body and aircraft. (C) 2001 Elsevier Science B.V. All rights reserved.