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In view of that conventional algorithms of collision detection spend a lot of detection time on complex polyhedrons, an algorithm to divide a convex polyhedron was presented and proved.

针对传统的碰撞检测算法对于复杂多面体之间的碰撞检测时间过长的缺陷,提出并证明了一种凸多面体的剖分算法,该算法能将复杂的凸多面体剖分为简单四面体,利用基于MPI(Mes-sagePassingInterface)并行处理的方法来提高碰撞检测的实时性。

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。

The authors present a new algorithm in this paper. Firstly, a vector pointing from one polyhedron to the other is picked. Then the authors start to find an intersection plane of one polyhedron based on the scalar product of the norm vector of the plane and the picked vector.

就这一问题,给出了一种新的算法,其思想是取一个从一个凸多面体指向另一个多面体的向量,根据两个多面体中的面与这一向量的相对位置关系来寻找相交的平面。

We obtain three classes of polyhedra which have high symmetry. they are regular tetrahedral class belonging to tetrahedral group , regular hexahedral class and regular octahedral class belonging to octahedral group.

本文将Goldberg在正十二面体上构筑多面体的方法推广到其它柏拉图多面体上,分别得到了三类具有较高对称性的多面体:属于四面体群的正四面体类和属于八面体群的正六面体类、正八面体类。

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。

The formation mechanism of the screw structures on the surfaces of polytype crystals is discussed according to the theoretical model of anionic coordination polyhedron growth units.

本文用负离子配位多面体生长基元理论模型讨论了多型性晶体表面螺旋结构的形成,提出在多型性晶体中配位多面体呈层状分布,配位多面体的面为层的边界,上、下层负离子配位多面体不是呈镜象对称的,在三方晶系和六方晶系的晶体中是沿晶轴a、b错开,上、下两层负离子配位多面体体呈交叉对应,从而达到稳定平衡。

The orientation and distortion of anionic coordination-polyhedra in piezoelectric and ferroelectric crystals are studied in this article.

本文研究了压电、铁电晶体中负离子配位多面体的结晶方位与形变,提出了压电晶体中同一种负离子配位多面体的结晶方位是一致的。

There are two methods are often used. A method is constructing some separate polyhedrons from vertex and edges of 3D wire-frame and combine the polyhedrons with each other one by one. Another is extracting wire-frame to some candidate faces and joining them up according to the nature of 3D object.In this paper, an algorithm of reconstructing 3D object from wire-frame was put forward.

目前有两种方法:一种是把三维实体看成由多个多面体组成的,相应的方法是将线框模型拆分成多个多面体,然后进行多面体的拼接组合重构三维实体;另一种方法是把三维实体看作由多个面组成的,相应方法是搜索可行面并根据三维实体的特点来重构。

If such a plane is found, the intersection of the two convex polyhedra is not empty.

即有两个多面体的交点位于这一平面,若能找到一个相交平面则可以断定两个多面体

We obtain three classes of polyhedra which have high symmetry.

本文将Goldberg在正十二面体上构筑多面体的方法推广到其它柏拉图多面体上,分别得到了三类具有较高对称性的多面体:属于四面体群的正四面体类和属于八面体群的正六面体类、正八面体类。

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