查询词典 polyhedral set

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。

In this thesis, the error bound estimation of the generalized complementarity problem over a polyhedral cone is considered and a new type of solution method for the problem is proposed.

本文主要研究多面体锥上的广义互补问题的误差界估计，并提出了一类新的求解GNCP的算法。

We present an efficient approach for generating the correspondence between two homeomorphic 3D polyhedral models. The user can select vertices on the polyhedra to decompose the boundary of each polyhedron into the same number of morphing patches. Further, the user can specify the feature points on the morphing patch pairs to improve the morph. After the morphing patch pairs are be mapped to 2D regular polygons, they are merged and reconstructed to generate a morph. In the main procedures of our approach, we propose an easy mapping method and a foldover-free warping technique. And we also propose a most efficient merging algorithm. The merging can be completed in O.

我们的对应演算法主要的流程架构是(1)设计一套良好的介面提供给使用者在物体表面上点选圈选点；(2)利用最短路径将圈选点作两两相连，以切割勿体表面；(3)利用Relaxation的方式进行摊平的目的；(4)利用Warping技术以增进使用者的便利性，因此无须圈选太多快patch以精确对齐物体的特徵，同时还提供一套自行避免相交情况的演算法以保证不相交；(5)我们研发出一套极快速的merge演算法，其利用最小轮廓涵盖结构而有效地达成区域搜寻与区域merge，因此在效率上达到O；(6)最后藉由Remesh与3D位置资讯的建立，重构出对应的结果整体而言，透过本论文所研发的对应演算法将不用花费太多的执行时间，因此符合经济效益。

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。

Metallurgy School, UST Beijing, Beijing 100083, China）ABSTRACT The negative thermal expansion in some complex oxides has beenattributed to transverse thermal motion of A-O-M linkage composed of two-coordinate oxygenbridge bond, and the librationsand tilts of essentially rigid polyhedral blocks in openframework structure. The isotopic NTE materials have been finding moresubstantialapplications in composites and other relative technique fields.

氧化物材料负热膨胀机理邢献然摘要氧化物的负热膨胀性是由于在其开放式的骨架结构中，有二配位的桥氧键产生横向热运动，以及引起的多面体热摆动和耦合作用使非键合M-M1键距变短，导致单胞体积缩小；各向同性NTE氧化物在复合材料及其相关技术领域具有更广泛的应用价值。

The angle formed by two edges of a polyhedral angle .

多面体角的两个边所形成的角。

Results\ The proliferation of chondrocytes were very capable in the third to fourth generation and polyhedral angle\...

软骨细胞在体外培养 3周左右是作为软骨组织工程的最佳种子细胞

Two-dimensional multilayered complex of Octabenzenesulphonate Polyhedral Oligomeric Silsesquioxane modified by alkyltrimethylammonium bromide C_nH_(2n+1N(CH_3)_3Br, CnTAB, where n denotes the carbon number in the alkyl chain via ion-exchange reaction.

一方面，使用多电荷阴离子的八磺酸根POSS和十六烷基三甲基溴化铵表面活性剂在水溶液体系里面进行离子交换反应，利用有机-无机不同的相似相容性质通过自组装的手段，得到具有规整的二维层状结构的杂化材料。

Based on feature edge identification, a practical simplification method is proposed for closed and non-smooth polyhedral model.

提出了基于特征边识别的实用的非光滑封闭多面体模型的简化方法。

Through comparing with the results by simulation to study the effects of theprojectile"s final velocity, the angle of rotation and the ballistic trajectory"s migration withdifferent projectile"s rotating speeds, different target"s moving speeds and differentpenetration angles.

通过比较数值模拟的结果来研究不同弹头转速、目标速度、侵彻角对侵彻过程中弹头最终速度、翻转角度和弹道偏移的影响。

I love stationery and all the accoutrement of writing.

我爱文具以及所有的书写的工具装备。