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罗笑南, LUO Xiao-Nan and JIANG Yu-Ming
CHINESE SCIENCE BULLETIN May 1994 Vol. 39 No.9,-0001,():
-1年11月30日
B-form,, B-net,, Becser surface,, hypecsurface,, Berasteln polyaceaial
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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,():
-1年11月30日
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.
Recurrence surface, L-surface, W-surface, Bezier surface, Envelope
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【期刊论文】Rational recurrence curves and recurrence surfaces in multivariate B-form on some regions☆
罗笑南, Ruomei Wang a, *, Yi Li a, Fang You b, Xiaonan Luo b
Journal of Computational and Applied Mathematics 163(2004)277-285,-0001,():
-1年11月30日
In this paper we present rational W curves and surfaces, study their envelope properties and give a general de4nition of surfaces in multivariate B-form by raising the dimension of polyhedron region, thereby present an equivalent representation of rational W curves and surfaces into rational B6ezier curves and surfaces in multivariate B-form on some regions.
Rational W curve, W surfaces, Rational W surfaces, Multivariate B-form
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