多面体的

A polyhedron any plane section of which is a convex polygon.

有些平面部分是凹型多边形的多面体。

The assembly objects were described with convex polyhedron. Geometric features of the assembly objects were analyzed.

以凸多面体为装配对象，分析装配操作过程中装配对象的几何特性。

And they satisfy thetopological geometry of the convex polyhedron framework. The calculated results showthat they are preferable in energy.

它们满足凸多面体骨架拓扑几何条件，并通过计算得知：这些构型分子在能量上是有利的。

Based on this model, a3- D random convex polyhedron aggregate model considering the actual aggregate content, gradation and shape of aggregate is established.

并在随机球骨料模型的基础上，形成随机凸多面体骨料模型。

To increase the running speed of the collision detection algorithm, a new approach is proposed, which uses convex Bounding Volume Hierarchies to express convex polyhedron. Thus the distance problem of two convex polyhedrons is come down to a nonlinear programming problem with constraints. The nonlinear programming problem can be solved by simulated annealing genetic algorithm.

为了提高碰撞检测算法的速度，提出用顶点的凸包表示凸多面体，将两个凸多面体间距离的问题归结为一个带约束条件的非线性规划问题，利用模拟退火遗传算法对该问题进行求解。

The three dimension parallel numerical computation of the wet-sieved concrete specimen was executed successfully to verify the program of random convex polyhedron aggregate.

4为了验证本文提出的多面体骨料生成方法，利用现有细观力学分析并行程序成功地实现了对湿筛混凝土试件三维细观并行数值计算。

The komatiite has the following mineralogical characteristics: the devitrification of rock forms such minerals as cathkinite;.

岩体具有典型的科马提岩冷凝结构分层和鬣刺结构、冷凝多面体节理。

This leads us to another contribution of Leonhard Euler to graph theory, namely Euler's polyhedron theorem or simply Euler's formula

这是我们引向L？尤拉对图论的另一个贡献，即尤拉多面体定理，或简称尤拉公式。

Based on the summarizing of the exiting algorithms of the texture mapping and antialiasing, this paper goes deeply into the basic theory and processing of texture mapping. The texture compress algorithm which can satisfy the need of the memory and time is given for the stochastic sampling in the inverse texture mapping; the geometry transformation in the texture mapping are discussed and the concepts of the unitary parametrization and the patch parametrization is proposed, some kinds of the unitary parametrization methods of parametric surfaces and the geometry transformation in the patch parametrization are also presented; in order to solve the aliasing in the parametrization of intermediate surface-sphere in two-part texture mapping, an area-preserving transformation is presented also; to improve the quality of the graph the aliasing in the texture mapping is analyzed from the aspect of signal process, and the modified summed-area tables algorithms is proposed; the distortion of the scanline conversion algorithms under perspective transformation is analyzed and the proper interpolation algorithm is presented so the aliasing problem of the polyhedral object after the unitary parametrization is efficiently solved.

本文在总结现有的纹理映射和反走样算法的基础上，深入研究了纹理映射的基本原理与过程，根据反向纹理映射对纹理随机采样的特殊要求，提出了一种可满足存储空间和寻址时间的纹理压缩存储算法；通过对纹理映射中几何变换理论的进一步深入探讨，提出了整体参数化和面片参数化的概念，并给出了参数化曲面的各种整体参数化方法和面片参数化的几何变换形式；针对现有的两步映射算法所存在的中间曲面—球面的参数化问题，提出一种等积映射方法，较好地实现了由非参数化面片拼接而成的多面体表面的纹理映射；从信号采样的角度深入分析了纹理映射中走样产生的原因，提出了改进的区域求和表算法，使图形生成的效果有所提高；还分析了一般的扫描线算法在透视变换中所存在的问题，提出了一种正确的插值算法，从而解决了整体参数化后多面体表面纹理映射的几何变形问题。

Polyhedral links are a class of topological links with polyhedral shape which are linked with a collection of finitely separate closed curves..

多面体链环是将古老的凸多面体结构和重要的纽结理论相结合，在解决近年来实验室中发现的病毒结构和合成的超分子结构的理论研究中，得到的理论成果。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新