曲面

This paper proposes a robust filter function, called trilateral filter function, to filter the noises in the domains of surface curvature, normal and position at each sample point while the local surface is fitted in a quadratic form. By optimizing the filtering result of curvature tensor, our approach is capable of preserving the feature on the target model.

通过在扫描模型每个采样点处拟合一个二次型曲面，设计了一个鲁棒的滤波函数--三边滤波函数；应用该函数分别对模型表面上每个点的法线、曲率和位置进行滤波；通过对曲率的滤波结果进行优化，可有效地保持三维模型表面上的特征。

It is based on the discrete model of finite analysis to get curvature ,normal vector, direction and geodesic curve,then to analyze and design the structure.

基于有限元分析的离散模型，将离散微分几何领域的最新成果运用于膜结构设计，求解曲面曲率，法向量，主方向及测地线，进行结构分析设计。

This paper develops methods for tangent direction continuous (G1) and both tangent direction and curvature continuous (G2) interpolation of a range of points on surface with specified tangent and either a curvature vector or a geodesic curvature at every point.

给出了数据点的切方向(切方向及曲率向量或测地曲率值)指定而G1连续(G2连续)插值曲面上任意点列的方法。

In this thesis, enlightened by the curve surface fitting in three-dimension space and combined with device gamut characteristics, a two variable high order polynomial method and its mathematical model were developed.

本文基于三维空间中曲面拟合的思想并结合色域特征，提出了色域的双变量高阶多项式解析描述方法及其数学模型。

A NURBS surface can be trimmed conveniently also along the projection line in specified direction on the surface from a curve in 3D space.

为了提高Trimmed NURBS曲面线框图的显示效率与准确性，提出了一种用直线段填充多边形区域的新方法一"跨越法"。

Chaikin algorithm is the simplest discrete curve modeling method.In thepaper planar Chaikin algorithm is generalized into sphere,and the practicability ofthe algorithm as well as the continuous differentiable property of the generatingcurve is proved.It is shown that the curve generated by Chaikin algorithm is apiecewise spherical Bezier curve of second kind of order two.Furthermore,generalspherical corner-cutting algorithms are discussed,and it is pointed out that thecurve generated through corner-cutting has"Spherical Variation DiminishingProperty".3Curve interpolation method restricted on a smooth surface based ontransformation.

Chaikin算法是最简单的离散曲线造型方法，文中将Chaikin算法推广到球面，证明了算法的可行性和生成曲线的连续可微性，指出球面Chaikin算法得到的曲线是分段的二次第二类球面Bezier曲线，并给出了用球面Chaikin算法构造球面插值曲线的算法；进一步，文中讨论了一般的球面割角算法，指出由球面割角算法得到的曲线具有"球面变差缩减性质"。3基于变换的约束在光滑曲面上的曲线插值方法。

Then the theory error of three points Gauss fitting method is analyzed and the theory error curve is given.

以三点高斯拟合算法为例，分析了算法的理论误差，并给出了理论误差曲面。

In addition, some applications of this method in curve and surface design were also discussed.

最后讨论了该方法在曲线曲面设计中的应用。

And if a single curved glass would distort nature

试想如果一片曲面镜就可歪曲自然

To guarantee 100% readability of the code on the curved glass surface of the syringe, the team has developed dedicated algorithms and test methods.

为了保证100对注射器曲面玻璃表面％的代码的可读性，该小组已制定专门的算法和测试方法。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。