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After a brief introduction of Three Dimensional Boolean Operation concepts, we illustrated the way how to decrease the procedure from three dimension to two dimension, and discussed on those singular problems, so that we can get the three dimensional topological information.

在简要的描述三维布尔运算基本概念后,我们给出了具体的三维到二维的降维过程,讨论了在二维空间中解决奇异问题的方法,最后得到三维重构拓扑信息。

And this means that a two-dimensional Flatlander traveling down the line we just drew would end up back where they started without ever feeling like they had left the second dimension.

这么看来,这条纸只有一个边,所以说它必须是二维的,也就是说,如果一个二维的Flatlander沿着我们画的这条线走的话,它将会回到它的起点而觉得他从未离开过二维世界。

During the computation of MNMPF, the image locations of minima are recorded at the same time.

此外,在计算过程中,它还能记录最小值点的二维位置信息,是一个二维的搜索算子。

98 Raster scan: A mapping of a rectangular two-dimensional pattern to a one-dimensional pattern such that the first entries in the one-dimensional pattern are from the first top row of the two-dimensional pattern scanned from left to right, followed similarly by the second, third, etc.

光栅扫描:将二维矩形映射到一维。一维的开始为二维的顶行,按照自左至右的方式依次扫描,第2、3…。。

Use of tensor product can be from one-dimensional analysis directly from the two-dimensional multiresolution analysis, thus conveniently be constructed of two-dimensional wavelet and wavelet packet and the corresponding decomposition and synthesis algorithms.

利用张量积方法可以从一维多分辨分析直接得到二维的多分辨分析,从而方便地构造得到二维小波和小波包以及相应的分解和合成算法。

Our idea of easy dimensional driving includes mainiy:(1) a driving mechanism of construction constraints and dimensional constraints,(2) automatic graphic recognition of constraints,(3) a bothway cross dimensional linked list for storing dimension sparse matrices and for recalling them,(4) a reasonable method of constraint consistence checking,(5) the linking of movement of 2D views,(6) a method for creating a sequence graphic library.

随着二维与三维设计技术的交叉发展,目前的参数化设计主要有两个分支:①面向纯二维的图形参数化,其特点是二维图形为多拓扑环的复杂图形;②面向三维的基于CSG特征造型的参数化,用于拉伸扫描的单拓扑环的二维图形参数化及空间任意曲面的参数化是其特点。

The numerical results show that our method is effective. For the noncharacteristic Cauchy problem for 2-D and 3-D heat equation, we give the explicit H\"{o}lder type stability estimates by using weighted energy method. Especially,H\"{o}lder type stability estimate for discrete solutions of the heat equation is obtained through a fully discrete method. The numerical results are presented.

对于二维和三维的热传导方程的非特征Cauchy 问题,我们利用权函数方法,给出了一个显式的H\&{o}lder 型的稳定性估计,特别的,对于二维的非特征Cauchy问题,我们利用充分离散的方法,对二维问题的离散形式同样给出了H\&{o}lder 型的稳定性估计,同时,我们也给出了数值例子来说明我们的估计。

Although the flow in the vaneless nozzle is three-dimensionat, it is two-dimensional in viscous sub-layer.

通过对喷嘴出口湍流流场的分析,认为三维湍流边界层的粘性底层内流动仍是二维的,因此可以采用可靠的二维壁面律。

For example, zero-dimensional, one-dimensional line, the two-dimensional surface, three-dimensional three-dimensional, and even four-dimensional space-time.

比如,零维的点、一维的线、二维的面、三维的立体、乃至四维的时空。

Shoe last from two-dimension to three-dimension and from three-dimension to two-dimension have been realized.

该设计使得鞋楦二维到三维和三维到二维的转换得到统一实现。

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