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Surfaces of Revolution in E_2~4 Space;2. The subdivision rules based on the geometric interpretation of the tensor product scheme, and it can reproduce the surfaces of revolution .

细分规则基于张量积曲面细分模式的几何意义,不仅可以生成旋转曲面等特殊曲面,而且可以根据参数来控制细分曲面的形状。

At the same time, by subdividing an icosahedron and projecting all its vertices onto the unit sphere from the center, we can get a spherical triangle mesh with subdivision topology.

然后,将一个正多面体进行细分并将每一次细分所产生的新顶点投影到单位球面上,如此生成一个细分网格。

The vertex within control mesh of fitting subdivision surface was located by iterative modification and local adaptive subdivision. This method makes it feasible to avoid the solution of linear equation system. The size of control mesh, which is corresponding to the fitting Loop subdivision surface, is smaller. The surface is reconstructed according to the given precision. It can represent detail characteristics of original model, and is piecewise smooth (C^2 continuous everywhere except at extraordinary vertices where they are C^1 continuous).

系统通过对控制网格顶点的循环修正和局部自适应细分来求解最终拟合细分曲面控制网格,避免了求解线性方程组,提高了拟合曲面的质量,实现了在给定精度下用较少的控制网格反映物体细节特征的分片光滑(片内除奇异点C^1,外其余C^2连续)的Loop细分曲面重建。

A new scheme was presented to design subdivision curves by introducing three control parameters in the subdivision process. The sufficient conditions of the uniform convergence and Ck continuity of this subdivision scheme were analyzed.

通过在曲线细分过程中引入三个参数,给出一种新的细分曲线构造的算法,并利用生成多项式等方法对细分法的一致收敛性、Ck连续性进行了分析。

In chapter 2, the paper shows the basic conception of subdivision scheme. For unvaried schemes are widely used, the method of analyzing the convergence and smoothness of unvaried schemes is shown.

第二章给出了细分格式的基本概念,由于单变量细分格式的情形应用较为广泛,然后给出了分析变量细分格式收敛性和光滑性的方法。

Based on the technical and design requirements of the system, this paper provides methods of angle calculation and the electrooptic signal acquisition techniques. According to the principles, we convert the waveform to corresponding impulses and use CPLD to implement the counting and direction discrimination of the count impulse. Furthermore, a new digital subdividing technique for...

根据系统的预期指标,给出了经纬仪角度测量值的计算及光电信号的采集方法;然后根据相应的方法,从硬件上实现了系统所需的角度信号的波形变换、脉冲信号的形成和CPLD辨向计数电路;在此基础上提出了软件细分技术,并分析了此细分方法带来的误差,达到了很高的细分精度。

The development trend of Internet has reflected fractionize, fractionize again the direction of fractionize.

互联网的发展趋势已经体现细分细分细分的方向。

A marketplace is subdivided but, only ascertaining that this is over insufficient in seeking target market on one point , the marketplace is subdivided ought to transfixion in telecommunication service provide be able to have an effect to bring the maximal effect that the marketplace subdivides into play out all the time, just now.

但是,仅仅把市场细分落实在寻找目标市场这一点上是远远不够的,市场细分应该贯穿在电信服务提供的始终,才能够有效发挥出市场细分的最大作用。

Base on the analysis of the grating linear displacement measurement theory,t he measure errors especially the subdivision error of the grating scale,this paper focuses on the theory of switch and merge of dual grating scales'signals,builds the design criteria of high speed high precision displacement measurement by using dual grating sales,designs the switch picking reference with high precision and fast switch and merge method,analyses the errors brought in by switch and merge of the duals grating scales.

针对光栅尺的电子细分信号具有细分误差的特性,本文提出了对莫尔条纹信号不细分的方法以提高双光栅尺信号切换合成值的精度。经过对双光栅计数切换基准、切换与合成特征和规律的探讨,本文设计了实现双光栅尺双重测量、计数值切换合成法的硬件电路,主要通过可编程芯片FPGA,设计了双光栅尺信号处理的各电路模块,如双光栅尺信号四倍频辨向模块、速度判断模块、切换模块、计数值合成处理模块。

The number of quadrilaterals increases in every step by a factor of 2 instead of 4. Applying the subdivision twice is the same as one dyadic dual subdivision and a rotation.

细分一次,四边形网格数目增加为原来的两倍,两次细分结果相当於一次二分对偶细分和一个旋转。

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