相交

Of the objects such as convexity and disjointness, the resulting clipped object may itself be disjoint or

的对象，如凸性和不相交，由此产生的剪切对象本身可能不相交或

The second groove intersects the first groove set at an intersection angle such that the first optical surface (142) intersects the second optical surface (144) to define an orthogonal dihedral angle between the two surfaces.

第二沟槽组与第一沟槽组以一交角相交，以使第一光学表面（142）与第二光学表面（144）相交，而在两个表面之间限定一垂直二面角。

Finally, the analysis and comparison with classical models show that DDLO can precisely describe the detailed intersection of directed line objects and distinguish intersection and tangency, while HBT can only distinguish fixed 68 simple relations.

对比分析显示，与HBT等现有经典模型相比，DDLO模型能够精确描述有向线对象多次相交的细节，能区分相交与相切，而HBT模型只能分辨固定的68种简单关系。

The relation between two fuzzy sets has mutual disjoint, mutual nonLuniformly inclusive, mutual interceptive but not non-uniformly inclusive, and independent, as the same as in probability theory.

模糊集合之间关系与概率论的事件之间关系一样，不仅有不相交，非一致包含，相交而不非一致包含，而且还有相互独立，等等。

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。

This method analyzes the relationship between intersecting lines to get the starting point of line recognition and performs a net-like recognition for the line network.

该方法利用直线之间的相交关系获得识别相交线条的起点，实现对线条网的网状识别。

Bifurcations of Zero Crossings: The isotopy theorem [50], [1] shows that transversal intersections are structur-ally stable, i.e., that "transversal zero-crossings" are structurally stable: their topological properties do not change if the size of the filter is slightly changed.

零相交的叉路：同位定理[50]， [1]表示，横截交叉点结构地是槽枥，即，"横截零相交"结构地是槽枥：他们的拓扑学物产不改变，如果轻微地改变大小过滤器。

According to the projection space, line and plane can be divided into upward-traveling and downward-traveling. The concepts of near axial-terminal and far axial-terminal to the straight line projection is introduced. The rule of the visibility of line and plane intersection is deduced.

将直线和平面按其在投影空间的位置，分为上行和下行两类，对直线的投影引入近轴端和远轴端的概念，有助于对线面相交空间位置的理解，而且使直线与平面相交可见性的规律更加清晰和直观。

Firstly,pre-time process including the construction of the model of cloth,the set of initial conditions and the collision detection are researched.Then,using minimizing intersection contour lines global method,the situation of cloth surface intersection is disposed emphatically,and the results of processing are evaluated and optimized.Finally,later process including the collision response,drawing and display are researched.

首先进行前期的布料模型构建、初始条件的设置以及碰撞检测；然后利用最小化相交轮廓线全局方法重点对布料表面相交情况进行了处理，并对处理结果进行了评价和优化；最后进行后期的碰撞响应以及绘制与显示。

For a given ray and a complex scene including dense triangle meshes, this approach can cull most nonintersecting triangles by a simple rejection test that only involves triangle/plane intersection tests.

针对由稠密三角形网格组成的复杂场景，算法通过三角形和测试平面的相交判断剔除与投射光线不相交的绝大多数三角面片。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。