| 1. | Changes in the serialization process will have no affect on the stability of the domain
序列化过程的改变不会影响域的稳定性。 |
| 2. | Research on shape function of meshless method and influence domain of weighted function adjacent to nonconvex fields
无单元法形函数及非凸区权函数影响域的研究 |
| 3. | Changing basis function is an effective method . so , fixed nodes method which needs same numbers of points in every sub - domain is advanced
因此，本文首先提出了固定节点法。该方法要求在每个影响域内含有相同的结点数目。 |
| 4. | This algorithm could fast determine disconnected depressions and their influence areas on the basis of acquiring digital tide - coordinates shorelines ( dts )
此算法在提取数字伴潮海岸线( dts )的基础上，快速确定不连通的洼地及其影响域。 |
| 5. | In the pim , the problem domain is represented by properly scattered points . the displacement at a point is interpolated by the displacements in the influence domain of this point
在该方法中，问题域上离散一系列随机分布的节点，一点的位移值由该点影响域内的节点插值得到。 |
| 6. | The results of finite element analysis including the latent heat show lower maximum temperature , smaller size of melting pool , and narrower heat affected zone compared with the analysis neglecting the latent heat
考虑潜热的有限元模型分析结果和忽略潜热的计算结果比较，前者显示出较低的最高温度、较小的熔池范围和较窄的热影响域。 |
| 7. | In ac cordance with the spatial corresponding relation , part of the two exploited infl uencing scopes will be superimposed with each other , that enables its exploitati on effect being interacted and mutually overlaid , thereby a composite dynamic sy stem is formed
依据采区的空间对应关系，两种采动影响域中的一部分相互重叠，致使其采动效应相互作用和相互叠加，从而组成一个复合动态系统。 |
| 8. | However , because the meshless methods are relatively new , there exist the following technical problems : 1 . complexity in algorithms for computing the interpolation functions ; 2 . difficulties in the implementation of essential boundary conditions ; 3
本学位论文针对目前无单元发展中存在的主要技术问题：形函数计算；本质边界条件实现；影响域大小(包含其中的点数)的确定；辅助积分网格等问题进行了研究。 |
| 9. | Moreover , we proposed a region - growing surface reconstruction algorithm . the filtering of the candidate triangles was improved a lot by constructing an influence region during the incrementally region - growing extraction of the surfaces . the construction of the influence region also contributes to make sure that the surfaces are geometrically and topologically correct
并在此结果基础上,提出了一种区域增长式的曲面重塑算法,它通过构造影响域提高了增量式区域增长抽取网格曲面过程中最优三角片的筛选效率,也确保了重塑曲面在几何和拓扑上的正确性。 |
| 10. | The traditional simplification methods could n ' t adapt to transitional state due to the lack of ability on transitional features . in order to keep the transitional details together with the fidelity and briefness , both the geometric attributes and transitional modulus are considered during the th - distance - based threshold estimation , and the ring - splitting algorithm is successfully realized with the definition of the voxel - effected - field . the multiple - step method for multi - resolution expression of transitional state is put forward
提出了过渡状态的几何简化方法，分析了现有简化方法所存在的缺陷与不足，在简化阈值中引入th距离，对几何特性与过渡特性同时加以考虑，利用顶点影响域的建立与环分裂三角化过程的实施，在实现表达过程保真性与简洁性的同时保留了重要的过渡细节特征。 |
