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期刊论文

Recurrence surfaces on arbitrary quadrilateral mesh☆

罗笑南Xiaonan Luo a* Hui Nie a Yi Li b Zhongxuan Luo c

Journal of Computational and Applied Mathematics 144(2002)221-232,-0001,():

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摘要/描述

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 C2 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 8eld of contour design of human body and aircraft.

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