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In order to recognize the 2D shapes, we proposed a set of perspective invariants of a pair of coplanar conics in this paper, we suggest a perspective invariant representation of general planar curve based on ellipse, and give an algorithm using the invariants and the representation to recognize 2D shapes.

为了实现二维形状的透视投影不变性识别,本文推导出了一种共面二次曲线对的透视投影不变量,提出了一种基于椭圆的平面曲线的透视不变性表示方法,并且给出了用该不变量和不变性表示方法实现二维形状识别的算法。

Computational algorithms of BEM for both multi connected domain and composites with particle of arbitrary geometry are derived.These BEM algorithms are used to calculate the temperature distributions for composites with both single-particle model and multi-particles models.

首先推导了多连域和含任意形状夹杂复合材料温度场问题的边界元计算格式,随后采用边界元法计算了具有不同形状和界面性能的单夹杂和多夹杂模型内的温度场。

On the basis of analyzing the lilnitations of the conventional flow equation for rotameter , ac-cording to principle of mechanical energy conservation and transform for real fluid, a new generalflow equation Q=for rotameter has been developed.This equation includes the rota-form factor β to reflect the influence of rota-form on flowmeasurement.

在分析转子流量计习用流量方程局限性的基础上,根据实际流体机械能守恒与转换原理,定义了反映转子形状特征对流量测定影响的转子几何形状因子β;经过推导,最终获得了转子流量计一种新的普遍流量方程Q=。

In order to overcome shortcomings that the circular arc and ellipse could not be accurately represented by CE-Bézier curves, this method used the continuity condition of CE-Bézier curves and C-Bézier curves to resolve the representation of circular arc and ellipse in CE-Bézier curve modeling.

该方法首先构造了一种具有优良形状可调性和更好逼近性的带3个形状参数α,β,γ的三次扩展Bézier曲线(CE-Bézier曲线);并针对CE-Bézier曲线无法精确表示圆弧和椭圆弧等二次曲线的缺点,利用CE-Bézier曲线与C-Bézier曲线间的拼接技术,解决了CE-Bézier曲线造型中圆弧和椭圆弧的表示问题。

Based on the previous work of other researchers, we presented the definition of global convex: a surface is globally convex if it happens to be the surface of a convex body or part of the surface of a convex body.

曲面微分几何,总结了自由曲面形状分析技术手段,对著名CAD软件中曲面分析工具特点进行了简要分析,指出了它们对曲面全局形状分析能力的不足。

The properties of the new method are that (1) the equations that the quartic Bézier curve has to satisfy for being C 2 continuous are strictly row diagonally dominant;(2) the discontinuous points of the curve are at the given data points;(3) the curve is locally adjustable;(4) if the given data points are convex, the constructed quartic Bézier curve is convex.

用样条函数方法构造插值样条曲线曲面,曲线曲面的精度和形状是由给定的数据点和端点条件唯一确定的。在有些情况下,例如,对文献 [7~ 9]中的数据点集,由样条函数方法构造的C2 插值曲线是不可接受的,但由于没有额外自由度,无法调整曲线的形状

Because of the cragginess of the 3-D surface, the distortion stripes appear when the common rectangular grating or sine grating is projected onto the object surface, which includes information about the 3-D surface profilometry. The images including distortion stripes are taken by CCD camera. The 2-D stripes information is got after processing these images. On the basis of mathematic reconstruction model and arithmetic, the 3-D surface profilometry data are gotten.

用普通白光将矩形光栅或者正弦光栅投影于被测物体表面上,由于物体外形凹凸等几何形状变化而在物体表面产生畸变条纹,这些畸变条纹就包含了物体表面形状的三维信息,由CCD摄像头摄取这些畸变条纹信息,对这些图像进行相应的处理,得到有关条纹中心线的二维信息,然后再根据相应的数学转换模型和重构算法对物体的轮廓进行重构,就可以得到被测物体表面的三维外形数据信息。

Because of the cragginess of the 3-Dsurface, the distortion stripes appear when the common rectangular grating or sine grating is projected onto the object surface, which includes information about the 3-Dsurface profilometry. The images including distortion stripes are taken by CCD camera. The 2-D stripes information is got after processing these images. On the basis of mathematic reconstruction model and arithmetic , the 3-D surface profilometry data are gotten.

用普通白光将矩形光栅或者正弦光栅投影于被测物体表面上,由于物体外形凹凸等几何形状变化而在物体表面产生畸变条纹,这些畸变条纹就包含了物体表面形状的三维信息,由CCD摄像头摄取这些畸变条纹信息,对这些图像进行相应的处理,得到有关条纹中心线的二维信息,然后再根据相应的数学转换模型和重构算法对物体的轮廓进行重构,就可以得到被测物体表面的三维外形数据信息。

By the original circular, and the shape of crescent moon becomes more and more"slender".

这期间太阳的形状在逐渐变化,由原来的圆形渐渐变成了月牙形,而且月牙的形状变得越来越"苗条"。

A cut is usually used to illustrate the shape of a cutting plane of an object or the holes and grooves in the solid shaft.

断面一般用于表达机件某一部分的切断的表面的形状,或轴及实心杆上孔、槽等的结构形状

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