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2005年02月25日

【期刊论文】复杂外形设计中的C1, C2样条插值曲面*

罗笑南, 王若梅, 王仁宏, 苏志勋

MATHEMATICA APPLICATA 1996, 9(3):315~320,-0001,():

-1年11月30日

摘要

根据几种复杂外形设计的特点,本文构造了三角形域上S12样条插值曲面,三角形域上的C2超限插值曲面,矩形参数域上C2超限插值曲面和任意四边形域上双三次C1,C2样条插值曲面,给出了一类有效的边界条件确定方法。同时,算法皆已应。

超限插值, 样条插值曲面, 保凸性, Heindl量, CIEM

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2005年02月25日

【期刊论文】递归曲线的矩阵表示和构造方法*

罗笑南, 姜昱明

J. Sys. Sci. & Math. Scis. 17 (3) (1997, 7), 282-288,-0001,():

-1年11月30日

摘要

本文给出了递归曲线的矩阵表示和构造W曲线以及L曲线的比例因子方法。揭示了Bernstein基函数和等距B样条函数以及不等距重节点B样条函数之间的一种简单的内在关系。

递归曲线,, W曲线,, L曲线,, 比例因子.,

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2005年02月25日

【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

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 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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2005年02月25日

【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

摘要

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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2005年02月25日

【期刊论文】Garment's pressure sensation (2): the psychophysical mechanism for the sensation

罗笑南, F. You, J.M. Wang and X.N. Luo, Y. Li, X. Zhang

International Journal of Clothing Science and Technology, Vol. 14 No.5, 2002, pp. 317-327.,-0001,():

-1年11月30日

摘要

Relationships have been investigated between subjective pressure sensation and objective pressure measured, for knit garments of different sizes and fabrics with different extensibilities. Fechner's logarithmic law is used to investigate the relations. Equations are obtained for describing the Psychophysical mechanism of clothing pressure perception under certain conditions. Objective pressure measuring had high predictive power with regard to subjective pressure sensation only under those conditions. Wearing pressure comfort has a negative correlation with feelings of fetter, scratchy, heavy and pressure, and has a poor correlation with feelings of softness and smoothness. Using factor analysis with principal factor solutions and rotated by the Varimax method, we obtained factor matrices.

Physical properties,, Subjectivity,, Clothing,, Factor analysis

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    中山大学,广东

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