查询词典 sphere

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。

The result of this paper can be applied to simulate cutting operation using plane and sphere knife in coxae orthopedics.

研究背景是髋关节整型手术中平面手术刀及球面手术刀对髋关节的切

In the field of science and technology such as physics, biology, cybernation, electronics and so on, there are plenty of problems described with differential equations, so is sphere of sociology.

在自然科学以及技术科学，例如物理，生物学，自动控制，电子技术等等领域中，都提出了大量的微分方程问题，同样在社会科学的一些领域里也存在着微分方程的问题。

Moreover,we discuss the local and global controllability and observability of the nonlinear system on the sphere, the cylindroid and the cone.

进一步，讨论了建立在球面、柱面和锥面上的非线性控制系统的局部和整体能控性与能观测性。

Secondly, we show the intimate relation between the nonlinear control system and the special geometrical strucure and singular structure of a sphere, a cylindroid and a cone.

刻划了球面、柱面、锥面的特殊曲面几何结构和奇异结构与非线性控制系统之间的内在联系。

This thesis contributes to geometry compression in the following aspects: Proposes a method of progressive spherical mesh parameterization based on local parameterization by directly projecting the deleted vertices to its neighborhood. Based on spherical mesh paramterization, an adaptive subdivision remeshing method by progressivly redistributing of sampling points is proposed, by this means, the main geometry information of the original mesh can be captured with only a small amount of samples, it can also be used in mesh simplification. By regarding attributes binded on mesh vertices as geometry signals and transferring them onto a uint sphere by means of spherical mesh parameterization, meshes with different attributes are compressed with spherical wavelet successfully with high compression rate. As a kind of lossy geometry compression technique, two mesh simplification algorthimes are also presented in this thesis.

归纳起来，本文的主要贡献有：提出了以直接投影局部参数化方法为基础的网格累进球面参数化方法；在网格球面参数化方法的基础之上，提出了一种基于累进优化布点方案的网格细分采样方法，该方法可以用很少的采样点就可以捕获到网格的主要特征，因此我们也将其用于后面的网格简化工作当中；通过将网格顶点上定义的各种属性看成几何信号，并以网格球面参数化为手段将几何信号迁移到单位球面上，从而成功地实现了用球面小波对各种几何信号的压缩；作为一种有损压缩方法，本文还提出了基于统一距离的网格简化算法和基于重采样的网格简化算法。

I speak, of course, of free men who have a choice, not condemned criminals whose sphere of activities is strictly delimit ed.

当然，我这里所说的是那些能够作出选择的自由人，而不是被判刑的囚犯。

The fourth chapter consists of three parts:First,to analyze and demarcate the concept andapplicable sphere of summary procedure.

首先，对简易程序的概念和适用范围进行了分析和界定。

When the depolarization factor is equal to 1/3, the partially resonant condition of a coated sphere is obtained.

当形状因子为1/3时，可以得到球形带壳颗粒的部分共振条件。

Based on model of conductive sphere the differentiable time window of the abnormal of watering layer can be calculated.

为解决内蒙古白旗地区水资源严重短缺的问题，采用瞬变电磁技术进行水资源勘察。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。