多面体

In this article, we define a projection from a segment or a polygon to a convex solid and discuss the relationship between the projection and the pattern.

论文一开始先介绍空间中物件对正多面体投影的定义，在此定义下，我们将讨论在正多面体上投影与切割的关系。

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。

There are three classes of dual polyhedral links which can be explored: the tetrahedral link is self-dual, the hexahedral and octahedral link, as well as the dodecahedral and icosahedral link are dual to each other.

从手性角度考虑，对偶变换具有手性保持的特征，十个多面体链环分为六组对偶多面体链环。

Goldberg got a class of polyhedra which are icosahedral symmetry by appending hexagons on regular dodecahedron by rule in 1937. They are called Goldberg polyhedra which provides a new approach for polyhedral molecule design.

1937年，数学家Goldberg通过在正十二面体上有规律地添加六边形面得到一类具有二十面体对称性的多面体，即Goldberg多面体。

They are regular tetrahedral class belonging to tetrahedral group , regular hexahedral class and regular octahedral class belonging to octahedral group. Be...

并且分析和表征了它们的几何特征和生长规律，从而为DNA多面体的合成和蛋白质多面体链环的构筑等提供理论模式。

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。

Besides we analyze and character their geometrical properties and the rule of growth. It can provide theoretical countenance for DNA polyhedral synthesis and protein polyhedral links construction.

并且分析和表征了它们的几何特征和生长规律，从而为DNA多面体的合成和蛋白质多面体链环的构筑等提供理论模式。

Polyhedron -base Structure,which consists of space-filling polyhedron models,is a new type of space structure.

多面体空间结构是一种新型的空间结构类型，基于能够填充三维空间的多面体模型而构成。

All isotropic constants of regular polyhedron in a three dimensional space are given in this paper. The result shows that the guess is right in a three dimensional space.

给出了在三维空间中全部正多面体的迷向常数的数值，从而说明这一猜测对三维空间中的正多面体是正确的。

Viruses that are pathogenic for specific insects include nuclear polyhedrosis viruses, granulosis viruses, and cytoplasmic polyhedrosis viruses.

对特定昆虫有致病作用的病毒包括：核多面体病毒，粒病毒和细胞质多面体病毒。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。