| 1. | Algorithm for mixed meshing multiple trimmed parametric surfaces for finite element analysis
多个裁剪参数曲面的有限元混合网格剖分法 |
| 2. | Using the above algorithms , this thesis proposes two efficient algorithms for evaluating parametric surfaces
根据以上算法，本文提出了对参数曲面快速求值的两种新方法 |
| 3. | The former method is parametric surface integral and the latter is to triangulate closed surface based on nurbs . ( 4 ) the key technique in probabilistic damaged stability calculation is discussed
（ 4 ）对概率破舱稳性计算中多舱组合破损时船体的浮态与稳性计算发生异常的原因进行了研究。 |
| 4. | The problems on parameterization of implicit algebraic surfaces and inversion of parametric surfaces are discussed and the inversion equations for some nurbs surfaces are derived in detail
探讨隐式曲面参数化及cad超曲面重构技术研究及其应用参数曲面反演问题，具体导出了一些nurbs曲面的反演方程。 |
| 5. | Secondly , based on nurbs curves approximation algorithm , a nurbs surface approximation algorithm on discrete data sets is given . thirdly , a shape - preserving parametric surface interpolation to data set is given
2基于所给的nurbs曲线的逼近算法，建立了带插值条件的离散点集的nurbs曲面的逼近算法。 |
| 6. | ( 1 ) presents a grid - based intersection algorithm of parametric surface and plane , which is characterized by effectiveness and conciseness , and has been successfully implemented in the rp data processing software
所作的主要工作如下： ( 1 )提出一种基于网格划分的参数曲面与平面求交算法。这种算法简单、实用，已成功地应用于基于cad模型直接分层的rp数据处理软件中。 |
| 7. | According to topological structure of control mesh , we generate generalized rational parametric surfaces in two manners . for a control mesh with consistent parameterization , the surface can be easily constructed because it can be mapped to differential manifold directly
对于具有简单拓扑结构，存在着一致的全局参数化的控制网格，我们将把控制网格直接映射到微分流形上，因此可以很容易地对曲面进行构造和控制。 |
| 8. | Its properties and design method is discussed in chapter 4 . for control meshes with arbitrary topology , we present a universal method in chapter 5 to construct parametric curves and surfaces . generalized rational parametric surface can be controlled precisely and flexible , and it is easy to model local features and 3d primitives
然后，在第五章中，我们将控制网格进一步推广到任意可定向二维拓扑流形，提出了一个通用的方法将控制网格映射到与之拓扑同胚的微分流形上，统一了广义有理参数曲线曲面的构造过程。 |
