| 1. | At the same time it realizes a convexity - preserving morph of the two convex polygons
同时本文方法实现了两个凸多边形的保凸变形。 |
| 2. | Convex polygon amalgamation algorithm used in real - time obstacle avoidance in virtual environment
用于虚拟环境中实时避障的凸多边形融合算法 |
| 3. | Using geometric method , a rational interpolation within convex polygons is constructed and extended to include side nodes
摘要构造出凸多边形上的一个新型有理插值，并将其推广到含有边节点的情况。 |
| 4. | Finally , the mori - tanaka estimate is used to evaluate the effective moduli of polygon - shaped fibers composites having slightly weakened interface
最后，采用mori - tanaka理论计算非完美界面条件下纤维增强复合材料的有效模量，其中纤维的横截面为凸多边形。 |
| 5. | Object shapes are represented by primitive shapes ( box , cone , cylinder , sphere ) , and complexes of polytopes ( line segments , convex polygons , convex polyhedra )
对象形状用基本形状（方框，圆锥形，圆柱，球）和复杂的多面体（线段，凸多边形，凸多面体）来表达。 |
| 6. | In this thesis , i simplified this problem into the problem to calculate the nfp of two convex polygons by decomposing the non - convex polygon into convex polygon
本文提出了多边形凸化分割的方法，将求解两个凹多边形的nfp问题转化为求解两个凸多边形的nfp问题，并加以理论证明，成功地解决了这一问题。 |
| 7. | As to simple concave polygons or complicated planar polygons with holes , they must be decomposed to the collection of triangular facets or arbitrary convex polygons to satisfy the requirement of succeeding graphic operations
对于简单凹多边形或有内孔的复杂平面多边形，需要将它们剖分成三角面片的集合或任意凸多边形的集合。 |
| 8. | In this paper , a simple and effective decomposing algorithm using the structure characteristic of decomposing line is presented , and the algorithm avoid combined phenomenon which has been produced by other algorithms
算法消除了剖分后存在部分凸多边形可以合并的现象，既能使剖分得到的凸多边形数目较少，能使得到的剖分有较好的形态质量。 |
| 9. | And the fusion or self - organization of these abilities makes the robot safely turn to the broader space and then move forward or backward in the direction paralleling to the edge of a static or moving unknown polygon obstacle
这些能力的自组织融合能够使机器人安全地转向宽阔的空间，然后在平行于或近于平行于静态或动态凸多边形障碍物的边缘的方向前进或后退。 |
| 10. | The effective stiffness are compared with the ones by nozaki for n = 4 . numerical results show that the nature of the imperfect interface has significant effect on stiffness of a convex polygon - shaped fibers composites
并以正四边形纤维横截面作为算例，将所得有效模量与nozaki结果比较，数值结果表明界面的非完美性质对凸多边形纤维增强复合材料的有效性能有明显影响。 |
